author | blanchet |
Thu, 06 Jun 2013 11:47:11 +0200 | |
changeset 52314 | 9606cf677021 |
parent 52312 | f461dca57c66 |
child 52328 | 2f286a2b7f98 |
permissions | -rw-r--r-- |
49509
163914705f8d
renamed top-level theory from "Codatatype" to "BNF"
blanchet
parents:
49507
diff
changeset
|
1 |
(* Title: HOL/BNF/Tools/bnf_gfp.ML |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2 |
Author: Dmitriy Traytel, TU Muenchen |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
3 |
Author: Andrei Popescu, TU Muenchen |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
4 |
Author: Jasmin Blanchette, TU Muenchen |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
5 |
Copyright 2012 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
6 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
7 |
Codatatype construction. |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
8 |
*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
9 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
10 |
signature BNF_GFP = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
11 |
sig |
51867 | 12 |
val construct_gfp: mixfix list -> binding list -> binding list -> binding list list -> |
13 |
binding list -> (string * sort) list -> typ list * typ list list -> BNF_Def.bnf list -> |
|
51866 | 14 |
local_theory -> BNF_FP_Util.fp_result * local_theory |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
15 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
16 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
17 |
structure BNF_GFP : BNF_GFP = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
18 |
struct |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
19 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
20 |
open BNF_Def |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
21 |
open BNF_Util |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
22 |
open BNF_Tactics |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
23 |
open BNF_Comp |
51850
106afdf5806c
renamed a few FP-related files, to make it clear that these are not the sum of LFP + GFP but rather shared basic libraries
blanchet
parents:
51839
diff
changeset
|
24 |
open BNF_FP_Util |
49636 | 25 |
open BNF_FP_Def_Sugar |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
26 |
open BNF_GFP_Util |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
27 |
open BNF_GFP_Tactics |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
28 |
|
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
29 |
datatype wit_tree = Wit_Leaf of int | Wit_Node of (int * int * int list) * wit_tree list; |
49104 | 30 |
|
31 |
fun mk_tree_args (I, T) (I', Ts) = (sort_distinct int_ord (I @ I'), T :: Ts); |
|
32 |
||
33 |
fun finish Iss m seen i (nwit, I) = |
|
34 |
let |
|
35 |
val treess = map (fn j => |
|
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
36 |
if j < m orelse member (op =) seen j then [([j], Wit_Leaf j)] |
49104 | 37 |
else |
38 |
map_index (finish Iss m (insert (op =) j seen) j) (nth Iss (j - m)) |
|
39 |
|> flat |
|
40 |
|> minimize_wits) |
|
41 |
I; |
|
42 |
in |
|
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
43 |
map (fn (I, t) => (I, Wit_Node ((i - m, nwit, filter (fn i => i < m) I), t))) |
49104 | 44 |
(fold_rev (map_product mk_tree_args) treess [([], [])]) |
45 |
|> minimize_wits |
|
46 |
end; |
|
47 |
||
49501 | 48 |
fun tree_to_ctor_wit vars _ _ (Wit_Leaf j) = ([j], nth vars j) |
49 |
| tree_to_ctor_wit vars ctors witss (Wit_Node ((i, nwit, I), subtrees)) = |
|
50 |
(I, nth ctors i $ (Term.list_comb (snd (nth (nth witss i) nwit), |
|
51 |
map (snd o tree_to_ctor_wit vars ctors witss) subtrees))); |
|
49104 | 52 |
|
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
53 |
fun tree_to_coind_wits _ (Wit_Leaf _) = [] |
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
54 |
| tree_to_coind_wits lwitss (Wit_Node ((i, nwit, I), subtrees)) = |
49104 | 55 |
((i, I), nth (nth lwitss i) nwit) :: maps (tree_to_coind_wits lwitss) subtrees; |
56 |
||
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
57 |
(*all BNFs have the same lives*) |
51867 | 58 |
fun construct_gfp mixfixes map_bs rel_bs set_bss bs resBs (resDs, Dss) bnfs lthy = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
59 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
60 |
val timer = time (Timer.startRealTimer ()); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
61 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
62 |
val live = live_of_bnf (hd bnfs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
63 |
val n = length bnfs; (*active*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
64 |
val ks = 1 upto n; |
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
65 |
val m = live - n (*passive, if 0 don't generate a new BNF*); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
66 |
val ls = 1 upto m; |
49498 | 67 |
val b = Binding.name (mk_common_name (map Binding.name_of bs)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
68 |
|
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
69 |
(* TODO: check if m, n, etc., are sane *) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
70 |
|
49185
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49176
diff
changeset
|
71 |
val deads = fold (union (op =)) Dss resDs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
72 |
val names_lthy = fold Variable.declare_typ deads lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
73 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
74 |
(* tvars *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
75 |
val ((((((((passiveAs, activeAs), allAs)), (passiveBs, activeBs)), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
76 |
(passiveCs, activeCs)), passiveXs), passiveYs), idxT) = names_lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
77 |
|> mk_TFrees live |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
78 |
|> apfst (`(chop m)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
79 |
||> mk_TFrees live |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
80 |
||>> apfst (chop m) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
81 |
||> mk_TFrees live |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
82 |
||>> apfst (chop m) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
83 |
||>> mk_TFrees m |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
84 |
||>> mk_TFrees m |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
85 |
||> fst o mk_TFrees 1 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
86 |
||> the_single; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
87 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
88 |
val Ass = replicate n allAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
89 |
val allBs = passiveAs @ activeBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
90 |
val Bss = replicate n allBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
91 |
val allCs = passiveAs @ activeCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
92 |
val allCs' = passiveBs @ activeCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
93 |
val Css' = replicate n allCs'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
94 |
|
51866 | 95 |
(* types *) |
49185
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49176
diff
changeset
|
96 |
val dead_poss = |
51866 | 97 |
map (fn T => if member (op =) deads (TFree T) then SOME (TFree T) else NONE) resBs; |
49185
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49176
diff
changeset
|
98 |
fun mk_param NONE passive = (hd passive, tl passive) |
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49176
diff
changeset
|
99 |
| mk_param (SOME a) passive = (a, passive); |
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49176
diff
changeset
|
100 |
val mk_params = fold_map mk_param dead_poss #> fst; |
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49176
diff
changeset
|
101 |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
102 |
fun mk_FTs Ts = map2 (fn Ds => mk_T_of_bnf Ds Ts) Dss bnfs; |
49185
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49176
diff
changeset
|
103 |
val (params, params') = `(map Term.dest_TFree) (mk_params passiveAs); |
49620
7db3d2986881
type of the bound of a BNF depends at most on dead type variables
traytel
parents:
49594
diff
changeset
|
104 |
val (dead_params, dead_params') = `(map Term.dest_TFree) (subtract (op =) passiveAs params'); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
105 |
val FTsAs = mk_FTs allAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
106 |
val FTsBs = mk_FTs allBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
107 |
val FTsCs = mk_FTs allCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
108 |
val ATs = map HOLogic.mk_setT passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
109 |
val BTs = map HOLogic.mk_setT activeAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
110 |
val B'Ts = map HOLogic.mk_setT activeBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
111 |
val B''Ts = map HOLogic.mk_setT activeCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
112 |
val sTs = map2 (fn T => fn U => T --> U) activeAs FTsAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
113 |
val s'Ts = map2 (fn T => fn U => T --> U) activeBs FTsBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
114 |
val s''Ts = map2 (fn T => fn U => T --> U) activeCs FTsCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
115 |
val fTs = map2 (fn T => fn U => T --> U) activeAs activeBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
116 |
val self_fTs = map (fn T => T --> T) activeAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
117 |
val gTs = map2 (fn T => fn U => T --> U) activeBs activeCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
118 |
val all_gTs = map2 (fn T => fn U => T --> U) allBs allCs'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
119 |
val RTs = map2 (fn T => fn U => HOLogic.mk_prodT (T, U)) activeAs activeBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
120 |
val sRTs = map2 (fn T => fn U => HOLogic.mk_prodT (T, U)) activeAs activeAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
121 |
val R'Ts = map2 (fn T => fn U => HOLogic.mk_prodT (T, U)) activeBs activeCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
122 |
val setsRTs = map HOLogic.mk_setT sRTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
123 |
val setRTs = map HOLogic.mk_setT RTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
124 |
val all_sbisT = HOLogic.mk_tupleT setsRTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
125 |
val setR'Ts = map HOLogic.mk_setT R'Ts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
126 |
val FRTs = mk_FTs (passiveAs @ RTs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
127 |
val sumBsAs = map2 (curry mk_sumT) activeBs activeAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
128 |
val sumFTs = mk_FTs (passiveAs @ sumBsAs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
129 |
val sum_sTs = map2 (fn T => fn U => T --> U) activeAs sumFTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
130 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
131 |
(* terms *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
132 |
val mapsAsAs = map4 mk_map_of_bnf Dss Ass Ass bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
133 |
val mapsAsBs = map4 mk_map_of_bnf Dss Ass Bss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
134 |
val mapsBsCs' = map4 mk_map_of_bnf Dss Bss Css' bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
135 |
val mapsAsCs' = map4 mk_map_of_bnf Dss Ass Css' bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
136 |
val map_Inls = map4 mk_map_of_bnf Dss Bss (replicate n (passiveAs @ sumBsAs)) bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
137 |
val map_Inls_rev = map4 mk_map_of_bnf Dss (replicate n (passiveAs @ sumBsAs)) Bss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
138 |
val map_fsts = map4 mk_map_of_bnf Dss (replicate n (passiveAs @ RTs)) Ass bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
139 |
val map_snds = map4 mk_map_of_bnf Dss (replicate n (passiveAs @ RTs)) Bss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
140 |
fun mk_setss Ts = map3 mk_sets_of_bnf (map (replicate live) Dss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
141 |
(map (replicate live) (replicate n Ts)) bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
142 |
val setssAs = mk_setss allAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
143 |
val setssAs' = transpose setssAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
144 |
val bis_setss = mk_setss (passiveAs @ RTs); |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
145 |
val relsAsBs = map4 mk_rel_of_bnf Dss Ass Bss bnfs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
146 |
val bds = map3 mk_bd_of_bnf Dss Ass bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
147 |
val sum_bd = Library.foldr1 (uncurry mk_csum) bds; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
148 |
val sum_bdT = fst (dest_relT (fastype_of sum_bd)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
149 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
150 |
val emptys = map (fn T => HOLogic.mk_set T []) passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
151 |
val Zeros = map (fn empty => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
152 |
HOLogic.mk_tuple (map (fn U => absdummy U empty) activeAs)) emptys; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
153 |
val hrecTs = map fastype_of Zeros; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
154 |
val hsetTs = map (fn hrecT => Library.foldr (op -->) (sTs, HOLogic.natT --> hrecT)) hrecTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
155 |
|
52298 | 156 |
val (((((((((((((((((((((((((((((((((((zs, zs'), zs_copy), zs_copy2), |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
157 |
z's), As), As_copy), Bs), Bs_copy), B's), B''s), ss), sum_ss), s's), s''s), fs), fs_copy), |
52298 | 158 |
self_fs), gs), all_gs), xFs), yFs), yFs_copy), RFs), (Rtuple, Rtuple')), (hrecs, hrecs')), |
159 |
(nat, nat')), Rs), Rs_copy), R's), sRs), (idx, idx')), Idx), Ris), Kss), names_lthy) = lthy |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
160 |
|> mk_Frees' "b" activeAs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
161 |
||>> mk_Frees "b" activeAs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
162 |
||>> mk_Frees "b" activeAs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
163 |
||>> mk_Frees "b" activeBs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
164 |
||>> mk_Frees "A" ATs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
165 |
||>> mk_Frees "A" ATs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
166 |
||>> mk_Frees "B" BTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
167 |
||>> mk_Frees "B" BTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
168 |
||>> mk_Frees "B'" B'Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
169 |
||>> mk_Frees "B''" B''Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
170 |
||>> mk_Frees "s" sTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
171 |
||>> mk_Frees "sums" sum_sTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
172 |
||>> mk_Frees "s'" s'Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
173 |
||>> mk_Frees "s''" s''Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
174 |
||>> mk_Frees "f" fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
175 |
||>> mk_Frees "f" fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
176 |
||>> mk_Frees "f" self_fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
177 |
||>> mk_Frees "g" gTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
178 |
||>> mk_Frees "g" all_gTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
179 |
||>> mk_Frees "x" FTsAs |
51925 | 180 |
||>> mk_Frees "y" FTsBs |
181 |
||>> mk_Frees "y" FTsBs |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
182 |
||>> mk_Frees "x" FRTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
183 |
||>> yield_singleton (apfst (op ~~) oo mk_Frees' "Rtuple") all_sbisT |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
184 |
||>> mk_Frees' "rec" hrecTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
185 |
||>> yield_singleton (apfst (op ~~) oo mk_Frees' "n") HOLogic.natT |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
186 |
||>> mk_Frees "R" setRTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
187 |
||>> mk_Frees "R" setRTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
188 |
||>> mk_Frees "R'" setR'Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
189 |
||>> mk_Frees "R" setsRTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
190 |
||>> yield_singleton (apfst (op ~~) oo mk_Frees' "i") idxT |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
191 |
||>> yield_singleton (mk_Frees "I") (HOLogic.mk_setT idxT) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
192 |
||>> mk_Frees "Ri" (map (fn T => idxT --> T) setRTs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
193 |
||>> mk_Freess "K" (map (fn AT => map (fn T => T --> AT) activeAs) ATs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
194 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
195 |
val passive_UNIVs = map HOLogic.mk_UNIV passiveAs; |
51447 | 196 |
val passive_Id_ons = map mk_Id_on As; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
197 |
val active_UNIVs = map HOLogic.mk_UNIV activeAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
198 |
val sum_UNIVs = map HOLogic.mk_UNIV sumBsAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
199 |
val passive_ids = map HOLogic.id_const passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
200 |
val active_ids = map HOLogic.id_const activeAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
201 |
val Inls = map2 Inl_const activeBs activeAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
202 |
val fsts = map fst_const RTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
203 |
val snds = map snd_const RTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
204 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
205 |
(* thms *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
206 |
val bd_card_orders = map bd_card_order_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
207 |
val bd_card_order = hd bd_card_orders |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
208 |
val bd_Card_orders = map bd_Card_order_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
209 |
val bd_Card_order = hd bd_Card_orders; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
210 |
val bd_Cinfinites = map bd_Cinfinite_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
211 |
val bd_Cinfinite = hd bd_Cinfinites; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
212 |
val bd_Cnotzeros = map bd_Cnotzero_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
213 |
val bd_Cnotzero = hd bd_Cnotzeros; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
214 |
val in_bds = map in_bd_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
215 |
val in_monos = map in_mono_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
216 |
val map_comps = map map_comp_of_bnf bnfs; |
51739
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
217 |
val sym_map_comps = map (fn thm => thm RS sym) map_comps; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
218 |
val map_comp's = map map_comp'_of_bnf bnfs; |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
219 |
val map_cong0s = map map_cong0_of_bnf bnfs; |
51739
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
220 |
val map_ids = map map_id_of_bnf bnfs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
221 |
val map_id's = map map_id'_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
222 |
val map_wpulls = map map_wpull_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
223 |
val set_bdss = map set_bd_of_bnf bnfs; |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
224 |
val set_map'ss = map set_map'_of_bnf bnfs; |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
225 |
val rel_congs = map rel_cong_of_bnf bnfs; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
226 |
val rel_converseps = map rel_conversep_of_bnf bnfs; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
227 |
val rel_Grps = map rel_Grp_of_bnf bnfs; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
228 |
val rel_eqs = map rel_eq_of_bnf bnfs; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
229 |
val rel_monos = map rel_mono_of_bnf bnfs; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
230 |
val rel_OOs = map rel_OO_of_bnf bnfs; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
231 |
val rel_OO_Grps = map rel_OO_Grp_of_bnf bnfs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
232 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
233 |
val timer = time (timer "Extracted terms & thms"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
234 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
235 |
(* derived thms *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
236 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
237 |
(*map g1 ... gm g(m+1) ... g(m+n) (map id ... id f(m+1) ... f(m+n) x)= |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
238 |
map g1 ... gm (g(m+1) o f(m+1)) ... (g(m+n) o f(m+n)) x*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
239 |
fun mk_map_comp_id x mapAsBs mapBsCs mapAsCs map_comp = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
240 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
241 |
val lhs = Term.list_comb (mapBsCs, all_gs) $ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
242 |
(Term.list_comb (mapAsBs, passive_ids @ fs) $ x); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
243 |
val rhs = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
244 |
Term.list_comb (mapAsCs, take m all_gs @ map HOLogic.mk_comp (drop m all_gs ~~ fs)) $ x; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
245 |
in |
51551 | 246 |
Goal.prove_sorry lthy [] [] |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
247 |
(fold_rev Logic.all (x :: fs @ all_gs) (mk_Trueprop_eq (lhs, rhs))) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
248 |
(K (mk_map_comp_id_tac map_comp)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
249 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
250 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
251 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
252 |
val map_comp_id_thms = map5 mk_map_comp_id xFs mapsAsBs mapsBsCs' mapsAsCs' map_comp's; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
253 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
254 |
(*forall a : set(m+1) x. f(m+1) a = a; ...; forall a : set(m+n) x. f(m+n) a = a ==> |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
255 |
map id ... id f(m+1) ... f(m+n) x = x*) |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
256 |
fun mk_map_cong0L x mapAsAs sets map_cong0 map_id' = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
257 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
258 |
fun mk_prem set f z z' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
259 |
HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
260 |
(mk_Ball (set $ x) (Term.absfree z' (HOLogic.mk_eq (f $ z, z)))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
261 |
val prems = map4 mk_prem (drop m sets) self_fs zs zs'; |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
262 |
val goal = mk_Trueprop_eq (Term.list_comb (mapAsAs, passive_ids @ self_fs) $ x, x); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
263 |
in |
51551 | 264 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
265 |
(fold_rev Logic.all (x :: self_fs) (Logic.list_implies (prems, goal))) |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
266 |
(K (mk_map_cong0L_tac m map_cong0 map_id')) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
267 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
268 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
269 |
|
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
270 |
val map_cong0L_thms = map5 mk_map_cong0L xFs mapsAsAs setssAs map_cong0s map_id's; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
271 |
val in_mono'_thms = map (fn thm => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
272 |
(thm OF (replicate m subset_refl)) RS @{thm set_mp}) in_monos; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
273 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
274 |
val map_arg_cong_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
275 |
let |
51925 | 276 |
val prems = map2 (curry mk_Trueprop_eq) yFs yFs_copy; |
277 |
val maps = map (fn mapx => Term.list_comb (mapx, all_gs)) mapsBsCs'; |
|
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
278 |
val concls = |
51925 | 279 |
map3 (fn x => fn y => fn mapx => mk_Trueprop_eq (mapx $ x, mapx $ y)) yFs yFs_copy maps; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
280 |
val goals = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
281 |
map4 (fn prem => fn concl => fn x => fn y => |
51925 | 282 |
fold_rev Logic.all (x :: y :: all_gs) (Logic.mk_implies (prem, concl))) |
283 |
prems concls yFs yFs_copy; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
284 |
in |
51551 | 285 |
map (fn goal => Goal.prove_sorry lthy [] [] goal |
51798 | 286 |
(K ((hyp_subst_tac lthy THEN' rtac refl) 1)) |> Thm.close_derivation) goals |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
287 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
288 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
289 |
val timer = time (timer "Derived simple theorems"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
290 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
291 |
(* coalgebra *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
292 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
293 |
val coalg_bind = Binding.suffix_name ("_" ^ coN ^ algN) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
294 |
val coalg_name = Binding.name_of coalg_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
295 |
val coalg_def_bind = (Thm.def_binding coalg_bind, []); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
296 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
297 |
(*forall i = 1 ... n: (\<forall>x \<in> Bi. si \<in> Fi_in A1 .. Am B1 ... Bn)*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
298 |
val coalg_spec = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
299 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
300 |
val coalgT = Library.foldr (op -->) (ATs @ BTs @ sTs, HOLogic.boolT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
301 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
302 |
val ins = map3 mk_in (replicate n (As @ Bs)) setssAs FTsAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
303 |
fun mk_coalg_conjunct B s X z z' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
304 |
mk_Ball B (Term.absfree z' (HOLogic.mk_mem (s $ z, X))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
305 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
306 |
val lhs = Term.list_comb (Free (coalg_name, coalgT), As @ Bs @ ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
307 |
val rhs = Library.foldr1 HOLogic.mk_conj (map5 mk_coalg_conjunct Bs ss ins zs zs') |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
308 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
309 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
310 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
311 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
312 |
val ((coalg_free, (_, coalg_def_free)), (lthy, lthy_old)) = |
49311 | 313 |
lthy |
314 |
|> Specification.definition (SOME (coalg_bind, NONE, NoSyn), (coalg_def_bind, coalg_spec)) |
|
315 |
||> `Local_Theory.restore; |
|
316 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
317 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
318 |
val coalg = fst (Term.dest_Const (Morphism.term phi coalg_free)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
319 |
val coalg_def = Morphism.thm phi coalg_def_free; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
320 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
321 |
fun mk_coalg As Bs ss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
322 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
323 |
val args = As @ Bs @ ss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
324 |
val Ts = map fastype_of args; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
325 |
val coalgT = Library.foldr (op -->) (Ts, HOLogic.boolT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
326 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
327 |
Term.list_comb (Const (coalg, coalgT), args) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
328 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
329 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
330 |
val coalg_prem = HOLogic.mk_Trueprop (mk_coalg As Bs ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
331 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
332 |
val coalg_in_thms = map (fn i => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
333 |
coalg_def RS @{thm subst[of _ _ "%x. x"]} RS mk_conjunctN n i RS bspec) ks |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
334 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
335 |
val coalg_set_thmss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
336 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
337 |
val coalg_prem = HOLogic.mk_Trueprop (mk_coalg As Bs ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
338 |
fun mk_prem x B = HOLogic.mk_Trueprop (HOLogic.mk_mem (x, B)); |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
339 |
fun mk_concl s x B set = HOLogic.mk_Trueprop (mk_leq (set $ (s $ x)) B); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
340 |
val prems = map2 mk_prem zs Bs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
341 |
val conclss = map3 (fn s => fn x => fn sets => map2 (mk_concl s x) (As @ Bs) sets) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
342 |
ss zs setssAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
343 |
val goalss = map3 (fn x => fn prem => fn concls => map (fn concl => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
344 |
fold_rev Logic.all (x :: As @ Bs @ ss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
345 |
(Logic.list_implies (coalg_prem :: [prem], concl))) concls) zs prems conclss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
346 |
in |
51551 | 347 |
map (fn goals => map (fn goal => Goal.prove_sorry lthy [] [] goal |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
348 |
(K (mk_coalg_set_tac coalg_def)) |> Thm.close_derivation) goals) goalss |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
349 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
350 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
351 |
val coalg_set_thmss' = transpose coalg_set_thmss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
352 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
353 |
fun mk_tcoalg ATs BTs = mk_coalg (map HOLogic.mk_UNIV ATs) (map HOLogic.mk_UNIV BTs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
354 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
355 |
val tcoalg_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
356 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
357 |
val goal = fold_rev Logic.all ss |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
358 |
(HOLogic.mk_Trueprop (mk_tcoalg passiveAs activeAs ss)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
359 |
in |
51551 | 360 |
Goal.prove_sorry lthy [] [] goal |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
361 |
(K (stac coalg_def 1 THEN CONJ_WRAP |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
362 |
(K (EVERY' [rtac ballI, rtac CollectI, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
363 |
CONJ_WRAP' (K (EVERY' [rtac @{thm subset_UNIV}])) allAs] 1)) ss)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
364 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
365 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
366 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
367 |
val timer = time (timer "Coalgebra definition & thms"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
368 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
369 |
(* morphism *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
370 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
371 |
val mor_bind = Binding.suffix_name ("_" ^ morN) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
372 |
val mor_name = Binding.name_of mor_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
373 |
val mor_def_bind = (Thm.def_binding mor_bind, []); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
374 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
375 |
(*fbetw) forall i = 1 ... n: (\<forall>x \<in> Bi. fi x \<in> B'i)*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
376 |
(*mor) forall i = 1 ... n: (\<forall>x \<in> Bi. |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
377 |
Fi_map id ... id f1 ... fn (si x) = si' (fi x)*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
378 |
val mor_spec = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
379 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
380 |
val morT = Library.foldr (op -->) (BTs @ sTs @ B'Ts @ s'Ts @ fTs, HOLogic.boolT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
381 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
382 |
fun mk_fbetw f B1 B2 z z' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
383 |
mk_Ball B1 (Term.absfree z' (HOLogic.mk_mem (f $ z, B2))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
384 |
fun mk_mor B mapAsBs f s s' z z' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
385 |
mk_Ball B (Term.absfree z' (HOLogic.mk_eq |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
386 |
(Term.list_comb (mapAsBs, passive_ids @ fs @ [s $ z]), s' $ (f $ z)))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
387 |
val lhs = Term.list_comb (Free (mor_name, morT), Bs @ ss @ B's @ s's @ fs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
388 |
val rhs = HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
389 |
(Library.foldr1 HOLogic.mk_conj (map5 mk_fbetw fs Bs B's zs zs'), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
390 |
Library.foldr1 HOLogic.mk_conj (map7 mk_mor Bs mapsAsBs fs ss s's zs zs')) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
391 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
392 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
393 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
394 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
395 |
val ((mor_free, (_, mor_def_free)), (lthy, lthy_old)) = |
49311 | 396 |
lthy |
397 |
|> Specification.definition (SOME (mor_bind, NONE, NoSyn), (mor_def_bind, mor_spec)) |
|
398 |
||> `Local_Theory.restore; |
|
399 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
400 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
401 |
val mor = fst (Term.dest_Const (Morphism.term phi mor_free)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
402 |
val mor_def = Morphism.thm phi mor_def_free; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
403 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
404 |
fun mk_mor Bs1 ss1 Bs2 ss2 fs = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
405 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
406 |
val args = Bs1 @ ss1 @ Bs2 @ ss2 @ fs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
407 |
val Ts = map fastype_of (Bs1 @ ss1 @ Bs2 @ ss2 @ fs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
408 |
val morT = Library.foldr (op -->) (Ts, HOLogic.boolT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
409 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
410 |
Term.list_comb (Const (mor, morT), args) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
411 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
412 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
413 |
val mor_prem = HOLogic.mk_Trueprop (mk_mor Bs ss B's s's fs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
414 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
415 |
val (mor_image_thms, morE_thms) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
416 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
417 |
val prem = HOLogic.mk_Trueprop (mk_mor Bs ss B's s's fs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
418 |
fun mk_image_goal f B1 B2 = fold_rev Logic.all (Bs @ ss @ B's @ s's @ fs) |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
419 |
(Logic.mk_implies (prem, HOLogic.mk_Trueprop (mk_leq (mk_image f $ B1) B2))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
420 |
val image_goals = map3 mk_image_goal fs Bs B's; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
421 |
fun mk_elim_goal B mapAsBs f s s' x = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
422 |
fold_rev Logic.all (x :: Bs @ ss @ B's @ s's @ fs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
423 |
(Logic.list_implies ([prem, HOLogic.mk_Trueprop (HOLogic.mk_mem (x, B))], |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
424 |
mk_Trueprop_eq (Term.list_comb (mapAsBs, passive_ids @ fs @ [s $ x]), s' $ (f $ x)))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
425 |
val elim_goals = map6 mk_elim_goal Bs mapsAsBs fs ss s's zs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
426 |
fun prove goal = |
51551 | 427 |
Goal.prove_sorry lthy [] [] goal (K (mk_mor_elim_tac mor_def)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
428 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
429 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
430 |
(map prove image_goals, map prove elim_goals) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
431 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
432 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
433 |
val mor_image'_thms = map (fn thm => @{thm set_mp} OF [thm, imageI]) mor_image_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
434 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
435 |
val mor_incl_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
436 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
437 |
val prems = map2 (HOLogic.mk_Trueprop oo mk_leq) Bs Bs_copy; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
438 |
val concl = HOLogic.mk_Trueprop (mk_mor Bs ss Bs_copy ss active_ids); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
439 |
in |
51551 | 440 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
441 |
(fold_rev Logic.all (Bs @ ss @ Bs_copy) (Logic.list_implies (prems, concl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
442 |
(K (mk_mor_incl_tac mor_def map_id's)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
443 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
444 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
445 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
446 |
val mor_id_thm = mor_incl_thm OF (replicate n subset_refl); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
447 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
448 |
val mor_comp_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
449 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
450 |
val prems = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
451 |
[HOLogic.mk_Trueprop (mk_mor Bs ss B's s's fs), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
452 |
HOLogic.mk_Trueprop (mk_mor B's s's B''s s''s gs)]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
453 |
val concl = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
454 |
HOLogic.mk_Trueprop (mk_mor Bs ss B''s s''s (map2 (curry HOLogic.mk_comp) gs fs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
455 |
in |
51551 | 456 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
457 |
(fold_rev Logic.all (Bs @ ss @ B's @ s's @ B''s @ s''s @ fs @ gs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
458 |
(Logic.list_implies (prems, concl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
459 |
(K (mk_mor_comp_tac mor_def mor_image'_thms morE_thms map_comp_id_thms)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
460 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
461 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
462 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
463 |
val mor_cong_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
464 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
465 |
val prems = map HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
466 |
(map2 (curry HOLogic.mk_eq) fs_copy fs @ [mk_mor Bs ss B's s's fs]) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
467 |
val concl = HOLogic.mk_Trueprop (mk_mor Bs ss B's s's fs_copy); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
468 |
in |
51551 | 469 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
470 |
(fold_rev Logic.all (Bs @ ss @ B's @ s's @ fs @ fs_copy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
471 |
(Logic.list_implies (prems, concl))) |
51798 | 472 |
(K ((hyp_subst_tac lthy THEN' atac) 1)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
473 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
474 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
475 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
476 |
val mor_UNIV_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
477 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
478 |
fun mk_conjunct mapAsBs f s s' = HOLogic.mk_eq |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
479 |
(HOLogic.mk_comp (Term.list_comb (mapAsBs, passive_ids @ fs), s), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
480 |
HOLogic.mk_comp (s', f)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
481 |
val lhs = mk_mor active_UNIVs ss (map HOLogic.mk_UNIV activeBs) s's fs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
482 |
val rhs = Library.foldr1 HOLogic.mk_conj (map4 mk_conjunct mapsAsBs fs ss s's); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
483 |
in |
51551 | 484 |
Goal.prove_sorry lthy [] [] (fold_rev Logic.all (ss @ s's @ fs) (mk_Trueprop_eq (lhs, rhs))) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
485 |
(K (mk_mor_UNIV_tac morE_thms mor_def)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
486 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
487 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
488 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
489 |
val mor_str_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
490 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
491 |
val maps = map2 (fn Ds => fn bnf => Term.list_comb |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
492 |
(mk_map_of_bnf Ds allAs (passiveAs @ FTsAs) bnf, passive_ids @ ss)) Dss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
493 |
in |
51551 | 494 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
495 |
(fold_rev Logic.all ss (HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
496 |
(mk_mor active_UNIVs ss (map HOLogic.mk_UNIV FTsAs) maps ss))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
497 |
(K (mk_mor_str_tac ks mor_UNIV_thm)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
498 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
499 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
500 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
501 |
val mor_sum_case_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
502 |
let |
49458 | 503 |
val maps = map3 (fn s => fn sum_s => fn mapx => |
504 |
mk_sum_case (HOLogic.mk_comp (Term.list_comb (mapx, passive_ids @ Inls), s), sum_s)) |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
505 |
s's sum_ss map_Inls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
506 |
in |
51551 | 507 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
508 |
(fold_rev Logic.all (s's @ sum_ss) (HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
509 |
(mk_mor (map HOLogic.mk_UNIV activeBs) s's sum_UNIVs maps Inls))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
510 |
(K (mk_mor_sum_case_tac ks mor_UNIV_thm)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
511 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
512 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
513 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
514 |
val timer = time (timer "Morphism definition & thms"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
515 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
516 |
fun hset_rec_bind j = Binding.suffix_name ("_" ^ hset_recN ^ (if m = 1 then "" else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
517 |
string_of_int j)) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
518 |
val hset_rec_name = Binding.name_of o hset_rec_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
519 |
val hset_rec_def_bind = rpair [] o Thm.def_binding o hset_rec_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
520 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
521 |
fun hset_rec_spec j Zero hsetT hrec hrec' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
522 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
523 |
fun mk_Suc s setsAs z z' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
524 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
525 |
val (set, sets) = apfst (fn xs => nth xs (j - 1)) (chop m setsAs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
526 |
fun mk_UN set k = mk_UNION (set $ (s $ z)) (mk_nthN n hrec k); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
527 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
528 |
Term.absfree z' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
529 |
(mk_union (set $ (s $ z), Library.foldl1 mk_union (map2 mk_UN sets ks))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
530 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
531 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
532 |
val Suc = Term.absdummy HOLogic.natT (Term.absfree hrec' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
533 |
(HOLogic.mk_tuple (map4 mk_Suc ss setssAs zs zs'))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
534 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
535 |
val lhs = Term.list_comb (Free (hset_rec_name j, hsetT), ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
536 |
val rhs = mk_nat_rec Zero Suc; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
537 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
538 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
539 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
540 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
541 |
val ((hset_rec_frees, (_, hset_rec_def_frees)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
542 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
543 |
|> fold_map5 (fn j => fn Zero => fn hsetT => fn hrec => fn hrec' => Specification.definition |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
544 |
(SOME (hset_rec_bind j, NONE, NoSyn), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
545 |
(hset_rec_def_bind j, hset_rec_spec j Zero hsetT hrec hrec'))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
546 |
ls Zeros hsetTs hrecs hrecs' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
547 |
|>> apsnd split_list o split_list |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
548 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
549 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
550 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
551 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
552 |
val hset_rec_defs = map (Morphism.thm phi) hset_rec_def_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
553 |
val hset_recs = map (fst o Term.dest_Const o Morphism.term phi) hset_rec_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
554 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
555 |
fun mk_hset_rec ss nat i j T = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
556 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
557 |
val args = ss @ [nat]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
558 |
val Ts = map fastype_of ss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
559 |
val bTs = map domain_type Ts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
560 |
val hrecT = HOLogic.mk_tupleT (map (fn U => U --> HOLogic.mk_setT T) bTs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
561 |
val hset_recT = Library.foldr (op -->) (Ts, HOLogic.natT --> hrecT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
562 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
563 |
mk_nthN n (Term.list_comb (Const (nth hset_recs (j - 1), hset_recT), args)) i |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
564 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
565 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
566 |
val hset_rec_0ss = mk_rec_simps n @{thm nat_rec_0} hset_rec_defs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
567 |
val hset_rec_Sucss = mk_rec_simps n @{thm nat_rec_Suc} hset_rec_defs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
568 |
val hset_rec_0ss' = transpose hset_rec_0ss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
569 |
val hset_rec_Sucss' = transpose hset_rec_Sucss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
570 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
571 |
fun hset_bind i j = Binding.suffix_name ("_" ^ hsetN ^ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
572 |
(if m = 1 then "" else string_of_int j)) (nth bs (i - 1)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
573 |
val hset_name = Binding.name_of oo hset_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
574 |
val hset_def_bind = rpair [] o Thm.def_binding oo hset_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
575 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
576 |
fun hset_spec i j = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
577 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
578 |
val U = nth activeAs (i - 1); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
579 |
val z = nth zs (i - 1); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
580 |
val T = nth passiveAs (j - 1); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
581 |
val setT = HOLogic.mk_setT T; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
582 |
val hsetT = Library.foldr (op -->) (sTs, U --> setT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
583 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
584 |
val lhs = Term.list_comb (Free (hset_name i j, hsetT), ss @ [z]); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
585 |
val rhs = mk_UNION (HOLogic.mk_UNIV HOLogic.natT) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
586 |
(Term.absfree nat' (mk_hset_rec ss nat i j T $ z)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
587 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
588 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
589 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
590 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
591 |
val ((hset_frees, (_, hset_def_frees)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
592 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
593 |
|> fold_map (fn i => fold_map (fn j => Specification.definition |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
594 |
(SOME (hset_bind i j, NONE, NoSyn), (hset_def_bind i j, hset_spec i j))) ls) ks |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
595 |
|>> map (apsnd split_list o split_list) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
596 |
|>> apsnd split_list o split_list |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
597 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
598 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
599 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
600 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
601 |
val hset_defss = map (map (Morphism.thm phi)) hset_def_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
602 |
val hset_defss' = transpose hset_defss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
603 |
val hset_namess = map (map (fst o Term.dest_Const o Morphism.term phi)) hset_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
604 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
605 |
fun mk_hset ss i j T = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
606 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
607 |
val Ts = map fastype_of ss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
608 |
val bTs = map domain_type Ts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
609 |
val hsetT = Library.foldr (op -->) (Ts, nth bTs (i - 1) --> HOLogic.mk_setT T); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
610 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
611 |
Term.list_comb (Const (nth (nth hset_namess (i - 1)) (j - 1), hsetT), ss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
612 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
613 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
614 |
val hsetssAs = map (fn i => map2 (mk_hset ss i) ls passiveAs) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
615 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
616 |
val (set_incl_hset_thmss, set_hset_incl_hset_thmsss) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
617 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
618 |
fun mk_set_incl_hset s x set hset = fold_rev Logic.all (x :: ss) |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
619 |
(HOLogic.mk_Trueprop (mk_leq (set $ (s $ x)) (hset $ x))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
620 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
621 |
fun mk_set_hset_incl_hset s x y set hset1 hset2 = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
622 |
fold_rev Logic.all (x :: y :: ss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
623 |
(Logic.mk_implies (HOLogic.mk_Trueprop (HOLogic.mk_mem (x, set $ (s $ y))), |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
624 |
HOLogic.mk_Trueprop (mk_leq (hset1 $ x) (hset2 $ y)))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
625 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
626 |
val set_incl_hset_goalss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
627 |
map4 (fn s => fn x => fn sets => fn hsets => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
628 |
map2 (mk_set_incl_hset s x) (take m sets) hsets) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
629 |
ss zs setssAs hsetssAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
630 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
631 |
(*xk : F(i)set(m+k) (si yi) ==> F(k)_hset(j) s1 ... sn xk <= F(i)_hset(j) s1 ... sn yi*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
632 |
val set_hset_incl_hset_goalsss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
633 |
map4 (fn si => fn yi => fn sets => fn hsetsi => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
634 |
map3 (fn xk => fn set => fn hsetsk => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
635 |
map2 (mk_set_hset_incl_hset si xk yi set) hsetsk hsetsi) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
636 |
zs_copy (drop m sets) hsetssAs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
637 |
ss zs setssAs hsetssAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
638 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
639 |
(map3 (fn goals => fn defs => fn rec_Sucs => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
640 |
map3 (fn goal => fn def => fn rec_Suc => |
51551 | 641 |
Goal.prove_sorry lthy [] [] goal (K (mk_set_incl_hset_tac def rec_Suc)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
642 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
643 |
goals defs rec_Sucs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
644 |
set_incl_hset_goalss hset_defss hset_rec_Sucss, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
645 |
map3 (fn goalss => fn defsi => fn rec_Sucs => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
646 |
map3 (fn k => fn goals => fn defsk => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
647 |
map4 (fn goal => fn defk => fn defi => fn rec_Suc => |
51551 | 648 |
Goal.prove_sorry lthy [] [] goal |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
649 |
(K (mk_set_hset_incl_hset_tac n [defk, defi] rec_Suc k)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
650 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
651 |
goals defsk defsi rec_Sucs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
652 |
ks goalss hset_defss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
653 |
set_hset_incl_hset_goalsss hset_defss hset_rec_Sucss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
654 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
655 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
656 |
val set_incl_hset_thmss' = transpose set_incl_hset_thmss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
657 |
val set_hset_incl_hset_thmsss' = transpose (map transpose set_hset_incl_hset_thmsss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
658 |
val set_hset_incl_hset_thmsss'' = map transpose set_hset_incl_hset_thmsss'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
659 |
val set_hset_thmss = map (map (fn thm => thm RS @{thm set_mp})) set_incl_hset_thmss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
660 |
val set_hset_hset_thmsss = map (map (map (fn thm => thm RS @{thm set_mp}))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
661 |
set_hset_incl_hset_thmsss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
662 |
val set_hset_thmss' = transpose set_hset_thmss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
663 |
val set_hset_hset_thmsss' = transpose (map transpose set_hset_hset_thmsss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
664 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
665 |
val set_incl_hin_thmss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
666 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
667 |
fun mk_set_incl_hin s x hsets1 set hsets2 T = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
668 |
fold_rev Logic.all (x :: ss @ As) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
669 |
(Logic.list_implies |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
670 |
(map2 (fn hset => fn A => HOLogic.mk_Trueprop (mk_leq (hset $ x) A)) hsets1 As, |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
671 |
HOLogic.mk_Trueprop (mk_leq (set $ (s $ x)) (mk_in As hsets2 T)))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
672 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
673 |
val set_incl_hin_goalss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
674 |
map4 (fn s => fn x => fn sets => fn hsets => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
675 |
map3 (mk_set_incl_hin s x hsets) (drop m sets) hsetssAs activeAs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
676 |
ss zs setssAs hsetssAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
677 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
678 |
map2 (map2 (fn goal => fn thms => |
51551 | 679 |
Goal.prove_sorry lthy [] [] goal (K (mk_set_incl_hin_tac thms)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
680 |
|> Thm.close_derivation)) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
681 |
set_incl_hin_goalss set_hset_incl_hset_thmsss |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
682 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
683 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
684 |
val hset_minimal_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
685 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
686 |
fun mk_passive_prem set s x K = |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
687 |
Logic.all x (HOLogic.mk_Trueprop (mk_leq (set $ (s $ x)) (K $ x))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
688 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
689 |
fun mk_active_prem s x1 K1 set x2 K2 = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
690 |
fold_rev Logic.all [x1, x2] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
691 |
(Logic.mk_implies (HOLogic.mk_Trueprop (HOLogic.mk_mem (x2, set $ (s $ x1))), |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
692 |
HOLogic.mk_Trueprop (mk_leq (K2 $ x2) (K1 $ x1)))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
693 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
694 |
val premss = map2 (fn j => fn Ks => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
695 |
map4 mk_passive_prem (map (fn xs => nth xs (j - 1)) setssAs) ss zs Ks @ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
696 |
flat (map4 (fn sets => fn s => fn x1 => fn K1 => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
697 |
map3 (mk_active_prem s x1 K1) (drop m sets) zs_copy Ks) setssAs ss zs Ks)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
698 |
ls Kss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
699 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
700 |
val hset_rec_minimal_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
701 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
702 |
fun mk_conjunct j T i K x = mk_leq (mk_hset_rec ss nat i j T $ x) (K $ x); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
703 |
fun mk_concl j T Ks = list_all_free zs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
704 |
(Library.foldr1 HOLogic.mk_conj (map3 (mk_conjunct j T) ks Ks zs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
705 |
val concls = map3 mk_concl ls passiveAs Kss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
706 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
707 |
val goals = map2 (fn prems => fn concl => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
708 |
Logic.list_implies (prems, HOLogic.mk_Trueprop concl)) premss concls |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
709 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
710 |
val ctss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
711 |
map (fn phi => map (SOME o certify lthy) [Term.absfree nat' phi, nat]) concls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
712 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
713 |
map4 (fn goal => fn cts => fn hset_rec_0s => fn hset_rec_Sucs => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
714 |
singleton (Proof_Context.export names_lthy lthy) |
51551 | 715 |
(Goal.prove_sorry lthy [] [] goal |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
716 |
(mk_hset_rec_minimal_tac m cts hset_rec_0s hset_rec_Sucs)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
717 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
718 |
goals ctss hset_rec_0ss' hset_rec_Sucss' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
719 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
720 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
721 |
fun mk_conjunct j T i K x = mk_leq (mk_hset ss i j T $ x) (K $ x); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
722 |
fun mk_concl j T Ks = Library.foldr1 HOLogic.mk_conj (map3 (mk_conjunct j T) ks Ks zs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
723 |
val concls = map3 mk_concl ls passiveAs Kss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
724 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
725 |
val goals = map3 (fn Ks => fn prems => fn concl => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
726 |
fold_rev Logic.all (Ks @ ss @ zs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
727 |
(Logic.list_implies (prems, HOLogic.mk_Trueprop concl))) Kss premss concls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
728 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
729 |
map3 (fn goal => fn hset_defs => fn hset_rec_minimal => |
51551 | 730 |
Goal.prove_sorry lthy [] [] goal |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
731 |
(mk_hset_minimal_tac n hset_defs hset_rec_minimal) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
732 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
733 |
goals hset_defss' hset_rec_minimal_thms |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
734 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
735 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
736 |
val mor_hset_thmss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
737 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
738 |
val mor_hset_rec_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
739 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
740 |
fun mk_conjunct j T i f x B = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
741 |
HOLogic.mk_imp (HOLogic.mk_mem (x, B), HOLogic.mk_eq |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
742 |
(mk_hset_rec s's nat i j T $ (f $ x), mk_hset_rec ss nat i j T $ x)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
743 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
744 |
fun mk_concl j T = list_all_free zs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
745 |
(Library.foldr1 HOLogic.mk_conj (map4 (mk_conjunct j T) ks fs zs Bs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
746 |
val concls = map2 mk_concl ls passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
747 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
748 |
val ctss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
749 |
map (fn phi => map (SOME o certify lthy) [Term.absfree nat' phi, nat]) concls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
750 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
751 |
val goals = map (fn concl => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
752 |
Logic.list_implies ([coalg_prem, mor_prem], HOLogic.mk_Trueprop concl)) concls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
753 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
754 |
map5 (fn j => fn goal => fn cts => fn hset_rec_0s => fn hset_rec_Sucs => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
755 |
singleton (Proof_Context.export names_lthy lthy) |
51551 | 756 |
(Goal.prove_sorry lthy [] [] goal |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
757 |
(K (mk_mor_hset_rec_tac m n cts j hset_rec_0s hset_rec_Sucs |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
758 |
morE_thms set_map'ss coalg_set_thmss))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
759 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
760 |
ls goals ctss hset_rec_0ss' hset_rec_Sucss' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
761 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
762 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
763 |
val mor_hset_rec_thmss = map (fn thm => map (fn i => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
764 |
mk_specN n thm RS mk_conjunctN n i RS mp) ks) mor_hset_rec_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
765 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
766 |
fun mk_prem x B = HOLogic.mk_Trueprop (HOLogic.mk_mem (x, B)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
767 |
|
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
768 |
fun mk_concl j T i f x = |
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
769 |
mk_Trueprop_eq (mk_hset s's i j T $ (f $ x), mk_hset ss i j T $ x); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
770 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
771 |
val goalss = map2 (fn j => fn T => map4 (fn i => fn f => fn x => fn B => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
772 |
fold_rev Logic.all (x :: As @ Bs @ ss @ B's @ s's @ fs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
773 |
(Logic.list_implies ([coalg_prem, mor_prem, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
774 |
mk_prem x B], mk_concl j T i f x))) ks fs zs Bs) ls passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
775 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
776 |
map3 (map3 (fn goal => fn hset_def => fn mor_hset_rec => |
51551 | 777 |
Goal.prove_sorry lthy [] [] goal |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
778 |
(K (mk_mor_hset_tac hset_def mor_hset_rec)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
779 |
|> Thm.close_derivation)) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
780 |
goalss hset_defss' mor_hset_rec_thmss |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
781 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
782 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
783 |
val timer = time (timer "Hereditary sets"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
784 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
785 |
(* bisimulation *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
786 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
787 |
val bis_bind = Binding.suffix_name ("_" ^ bisN) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
788 |
val bis_name = Binding.name_of bis_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
789 |
val bis_def_bind = (Thm.def_binding bis_bind, []); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
790 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
791 |
fun mk_bis_le_conjunct R B1 B2 = mk_leq R (mk_Times (B1, B2)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
792 |
val bis_le = Library.foldr1 HOLogic.mk_conj (map3 mk_bis_le_conjunct Rs Bs B's) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
793 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
794 |
val bis_spec = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
795 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
796 |
val bisT = Library.foldr (op -->) (ATs @ BTs @ sTs @ B'Ts @ s'Ts @ setRTs, HOLogic.boolT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
797 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
798 |
val fst_args = passive_ids @ fsts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
799 |
val snd_args = passive_ids @ snds; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
800 |
fun mk_bis R s s' b1 b2 RF map1 map2 sets = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
801 |
list_all_free [b1, b2] (HOLogic.mk_imp |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
802 |
(HOLogic.mk_mem (HOLogic.mk_prod (b1, b2), R), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
803 |
mk_Bex (mk_in (As @ Rs) sets (snd (dest_Free RF))) (Term.absfree (dest_Free RF) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
804 |
(HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
805 |
(HOLogic.mk_eq (Term.list_comb (map1, fst_args) $ RF, s $ b1), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
806 |
HOLogic.mk_eq (Term.list_comb (map2, snd_args) $ RF, s' $ b2)))))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
807 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
808 |
val lhs = Term.list_comb (Free (bis_name, bisT), As @ Bs @ ss @ B's @ s's @ Rs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
809 |
val rhs = HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
810 |
(bis_le, Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
811 |
(map9 mk_bis Rs ss s's zs z's RFs map_fsts map_snds bis_setss)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
812 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
813 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
814 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
815 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
816 |
val ((bis_free, (_, bis_def_free)), (lthy, lthy_old)) = |
49311 | 817 |
lthy |
818 |
|> Specification.definition (SOME (bis_bind, NONE, NoSyn), (bis_def_bind, bis_spec)) |
|
819 |
||> `Local_Theory.restore; |
|
820 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
821 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
822 |
val bis = fst (Term.dest_Const (Morphism.term phi bis_free)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
823 |
val bis_def = Morphism.thm phi bis_def_free; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
824 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
825 |
fun mk_bis As Bs1 ss1 Bs2 ss2 Rs = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
826 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
827 |
val args = As @ Bs1 @ ss1 @ Bs2 @ ss2 @ Rs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
828 |
val Ts = map fastype_of args; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
829 |
val bisT = Library.foldr (op -->) (Ts, HOLogic.boolT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
830 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
831 |
Term.list_comb (Const (bis, bisT), args) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
832 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
833 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
834 |
val bis_cong_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
835 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
836 |
val prems = map HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
837 |
(mk_bis As Bs ss B's s's Rs :: map2 (curry HOLogic.mk_eq) Rs_copy Rs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
838 |
val concl = HOLogic.mk_Trueprop (mk_bis As Bs ss B's s's Rs_copy); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
839 |
in |
51551 | 840 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
841 |
(fold_rev Logic.all (As @ Bs @ ss @ B's @ s's @ Rs @ Rs_copy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
842 |
(Logic.list_implies (prems, concl))) |
51798 | 843 |
(K ((hyp_subst_tac lthy THEN' atac) 1)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
844 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
845 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
846 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
847 |
val bis_rel_thm = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
848 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
849 |
fun mk_conjunct R s s' b1 b2 rel = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
850 |
list_all_free [b1, b2] (HOLogic.mk_imp |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
851 |
(HOLogic.mk_mem (HOLogic.mk_prod (b1, b2), R), |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
852 |
Term.list_comb (rel, map mk_in_rel (passive_Id_ons @ Rs)) $ (s $ b1) $ (s' $ b2))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
853 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
854 |
val rhs = HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
855 |
(bis_le, Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
856 |
(map6 mk_conjunct Rs ss s's zs z's relsAsBs)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
857 |
in |
51551 | 858 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
859 |
(fold_rev Logic.all (As @ Bs @ ss @ B's @ s's @ Rs) |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
860 |
(mk_Trueprop_eq (mk_bis As Bs ss B's s's Rs, rhs))) |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
861 |
(K (mk_bis_rel_tac lthy m bis_def rel_OO_Grps map_comp's map_cong0s set_map'ss)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
862 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
863 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
864 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
865 |
val bis_converse_thm = |
51551 | 866 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
867 |
(fold_rev Logic.all (As @ Bs @ ss @ B's @ s's @ Rs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
868 |
(Logic.mk_implies |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
869 |
(HOLogic.mk_Trueprop (mk_bis As Bs ss B's s's Rs), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
870 |
HOLogic.mk_Trueprop (mk_bis As B's s's Bs ss (map mk_converse Rs))))) |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
871 |
(K (mk_bis_converse_tac m bis_rel_thm rel_congs rel_converseps)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
872 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
873 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
874 |
val bis_O_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
875 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
876 |
val prems = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
877 |
[HOLogic.mk_Trueprop (mk_bis As Bs ss B's s's Rs), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
878 |
HOLogic.mk_Trueprop (mk_bis As B's s's B''s s''s R's)]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
879 |
val concl = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
880 |
HOLogic.mk_Trueprop (mk_bis As Bs ss B''s s''s (map2 (curry mk_rel_comp) Rs R's)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
881 |
in |
51551 | 882 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
883 |
(fold_rev Logic.all (As @ Bs @ ss @ B's @ s's @ B''s @ s''s @ Rs @ R's) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
884 |
(Logic.list_implies (prems, concl))) |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
885 |
(K (mk_bis_O_tac lthy m bis_rel_thm rel_congs rel_OOs)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
886 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
887 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
888 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
889 |
val bis_Gr_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
890 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
891 |
val concl = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
892 |
HOLogic.mk_Trueprop (mk_bis As Bs ss B's s's (map2 mk_Gr Bs fs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
893 |
in |
51551 | 894 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
895 |
(fold_rev Logic.all (As @ Bs @ ss @ B's @ s's @ fs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
896 |
(Logic.list_implies ([coalg_prem, mor_prem], concl))) |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
897 |
(mk_bis_Gr_tac bis_rel_thm rel_Grps mor_image_thms morE_thms coalg_in_thms) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
898 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
899 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
900 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
901 |
val bis_image2_thm = bis_cong_thm OF |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
902 |
((bis_O_thm OF [bis_Gr_thm RS bis_converse_thm, bis_Gr_thm]) :: |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
903 |
replicate n @{thm image2_Gr}); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
904 |
|
51447 | 905 |
val bis_Id_on_thm = bis_cong_thm OF ((mor_id_thm RSN (2, bis_Gr_thm)) :: |
906 |
replicate n @{thm Id_on_Gr}); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
907 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
908 |
val bis_Union_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
909 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
910 |
val prem = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
911 |
HOLogic.mk_Trueprop (mk_Ball Idx |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
912 |
(Term.absfree idx' (mk_bis As Bs ss B's s's (map (fn R => R $ idx) Ris)))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
913 |
val concl = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
914 |
HOLogic.mk_Trueprop (mk_bis As Bs ss B's s's (map (mk_UNION Idx) Ris)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
915 |
in |
51551 | 916 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
917 |
(fold_rev Logic.all (Idx :: As @ Bs @ ss @ B's @ s's @ Ris) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
918 |
(Logic.mk_implies (prem, concl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
919 |
(mk_bis_Union_tac bis_def in_mono'_thms) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
920 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
921 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
922 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
923 |
(* self-bisimulation *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
924 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
925 |
fun mk_sbis As Bs ss Rs = mk_bis As Bs ss Bs ss Rs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
926 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
927 |
val sbis_prem = HOLogic.mk_Trueprop (mk_sbis As Bs ss sRs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
928 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
929 |
(* largest self-bisimulation *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
930 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
931 |
fun lsbis_bind i = Binding.suffix_name ("_" ^ lsbisN ^ (if n = 1 then "" else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
932 |
string_of_int i)) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
933 |
val lsbis_name = Binding.name_of o lsbis_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
934 |
val lsbis_def_bind = rpair [] o Thm.def_binding o lsbis_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
935 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
936 |
val all_sbis = HOLogic.mk_Collect (fst Rtuple', snd Rtuple', list_exists_free sRs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
937 |
(HOLogic.mk_conj (HOLogic.mk_eq (Rtuple, HOLogic.mk_tuple sRs), mk_sbis As Bs ss sRs))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
938 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
939 |
fun lsbis_spec i RT = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
940 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
941 |
fun mk_lsbisT RT = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
942 |
Library.foldr (op -->) (map fastype_of (As @ Bs @ ss), RT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
943 |
val lhs = Term.list_comb (Free (lsbis_name i, mk_lsbisT RT), As @ Bs @ ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
944 |
val rhs = mk_UNION all_sbis (Term.absfree Rtuple' (mk_nthN n Rtuple i)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
945 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
946 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
947 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
948 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
949 |
val ((lsbis_frees, (_, lsbis_def_frees)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
950 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
951 |
|> fold_map2 (fn i => fn RT => Specification.definition |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
952 |
(SOME (lsbis_bind i, NONE, NoSyn), (lsbis_def_bind i, lsbis_spec i RT))) ks setsRTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
953 |
|>> apsnd split_list o split_list |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
954 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
955 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
956 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
957 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
958 |
val lsbis_defs = map (Morphism.thm phi) lsbis_def_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
959 |
val lsbiss = map (fst o Term.dest_Const o Morphism.term phi) lsbis_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
960 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
961 |
fun mk_lsbis As Bs ss i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
962 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
963 |
val args = As @ Bs @ ss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
964 |
val Ts = map fastype_of args; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
965 |
val RT = mk_relT (`I (HOLogic.dest_setT (fastype_of (nth Bs (i - 1))))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
966 |
val lsbisT = Library.foldr (op -->) (Ts, RT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
967 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
968 |
Term.list_comb (Const (nth lsbiss (i - 1), lsbisT), args) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
969 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
970 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
971 |
val sbis_lsbis_thm = |
51551 | 972 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
973 |
(fold_rev Logic.all (As @ Bs @ ss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
974 |
(HOLogic.mk_Trueprop (mk_sbis As Bs ss (map (mk_lsbis As Bs ss) ks)))) |
51798 | 975 |
(K (mk_sbis_lsbis_tac lthy lsbis_defs bis_Union_thm bis_cong_thm)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
976 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
977 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
978 |
val lsbis_incl_thms = map (fn i => sbis_lsbis_thm RS |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
979 |
(bis_def RS @{thm subst[of _ _ "%x. x"]} RS conjunct1 RS mk_conjunctN n i)) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
980 |
val lsbisE_thms = map (fn i => (mk_specN 2 (sbis_lsbis_thm RS |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
981 |
(bis_def RS @{thm subst[of _ _ "%x. x"]} RS conjunct2 RS mk_conjunctN n i))) RS mp) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
982 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
983 |
val incl_lsbis_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
984 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
985 |
fun mk_concl i R = HOLogic.mk_Trueprop (mk_leq R (mk_lsbis As Bs ss i)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
986 |
val goals = map2 (fn i => fn R => fold_rev Logic.all (As @ Bs @ ss @ sRs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
987 |
(Logic.mk_implies (sbis_prem, mk_concl i R))) ks sRs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
988 |
in |
51551 | 989 |
map3 (fn goal => fn i => fn def => Goal.prove_sorry lthy [] [] goal |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
990 |
(K (mk_incl_lsbis_tac n i def)) |> Thm.close_derivation) goals ks lsbis_defs |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
991 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
992 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
993 |
val equiv_lsbis_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
994 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
995 |
fun mk_concl i B = HOLogic.mk_Trueprop (mk_equiv B (mk_lsbis As Bs ss i)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
996 |
val goals = map2 (fn i => fn B => fold_rev Logic.all (As @ Bs @ ss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
997 |
(Logic.mk_implies (coalg_prem, mk_concl i B))) ks Bs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
998 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
999 |
map3 (fn goal => fn l_incl => fn incl_l => |
51551 | 1000 |
Goal.prove_sorry lthy [] [] goal |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1001 |
(K (mk_equiv_lsbis_tac sbis_lsbis_thm l_incl incl_l |
51447 | 1002 |
bis_Id_on_thm bis_converse_thm bis_O_thm)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1003 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1004 |
goals lsbis_incl_thms incl_lsbis_thms |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1005 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1006 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1007 |
val timer = time (timer "Bisimulations"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1008 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1009 |
(* bounds *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1010 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1011 |
val (lthy, sbd, sbdT, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1012 |
sbd_card_order, sbd_Cinfinite, sbd_Cnotzero, sbd_Card_order, set_sbdss, in_sbds) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1013 |
if n = 1 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1014 |
then (lthy, sum_bd, sum_bdT, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1015 |
bd_card_order, bd_Cinfinite, bd_Cnotzero, bd_Card_order, set_bdss, in_bds) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1016 |
else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1017 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1018 |
val sbdT_bind = Binding.suffix_name ("_" ^ sum_bdTN) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1019 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1020 |
val ((sbdT_name, (sbdT_glob_info, sbdT_loc_info)), lthy) = |
49835 | 1021 |
typedef (sbdT_bind, dead_params, NoSyn) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1022 |
(HOLogic.mk_UNIV sum_bdT) NONE (EVERY' [rtac exI, rtac UNIV_I] 1) lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1023 |
|
49620
7db3d2986881
type of the bound of a BNF depends at most on dead type variables
traytel
parents:
49594
diff
changeset
|
1024 |
val sbdT = Type (sbdT_name, dead_params'); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1025 |
val Abs_sbdT = Const (#Abs_name sbdT_glob_info, sum_bdT --> sbdT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1026 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1027 |
val sbd_bind = Binding.suffix_name ("_" ^ sum_bdN) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1028 |
val sbd_name = Binding.name_of sbd_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1029 |
val sbd_def_bind = (Thm.def_binding sbd_bind, []); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1030 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1031 |
val sbd_spec = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1032 |
(HOLogic.mk_eq (Free (sbd_name, mk_relT (`I sbdT)), mk_dir_image sum_bd Abs_sbdT)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1033 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1034 |
val ((sbd_free, (_, sbd_def_free)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1035 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1036 |
|> Specification.definition (SOME (sbd_bind, NONE, NoSyn), (sbd_def_bind, sbd_spec)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1037 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1038 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1039 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1040 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1041 |
val sbd_def = Morphism.thm phi sbd_def_free; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1042 |
val sbd = Const (fst (Term.dest_Const (Morphism.term phi sbd_free)), mk_relT (`I sbdT)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1043 |
|
49228 | 1044 |
val Abs_sbdT_inj = mk_Abs_inj_thm (#Abs_inject sbdT_loc_info); |
1045 |
val Abs_sbdT_bij = mk_Abs_bij_thm lthy Abs_sbdT_inj (#Abs_cases sbdT_loc_info); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1046 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1047 |
fun mk_sum_Cinfinite [thm] = thm |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1048 |
| mk_sum_Cinfinite (thm :: thms) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1049 |
@{thm Cinfinite_csum_strong} OF [thm, mk_sum_Cinfinite thms]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1050 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1051 |
val sum_Cinfinite = mk_sum_Cinfinite bd_Cinfinites; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1052 |
val sum_Card_order = sum_Cinfinite RS conjunct2; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1053 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1054 |
fun mk_sum_card_order [thm] = thm |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1055 |
| mk_sum_card_order (thm :: thms) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1056 |
@{thm card_order_csum} OF [thm, mk_sum_card_order thms]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1057 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1058 |
val sum_card_order = mk_sum_card_order bd_card_orders; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1059 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1060 |
val sbd_ordIso = fold_thms lthy [sbd_def] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1061 |
(@{thm dir_image} OF [Abs_sbdT_inj, sum_Card_order]); |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1062 |
val sbd_card_order = fold_thms lthy [sbd_def] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1063 |
(@{thm card_order_dir_image} OF [Abs_sbdT_bij, sum_card_order]); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1064 |
val sbd_Cinfinite = @{thm Cinfinite_cong} OF [sbd_ordIso, sum_Cinfinite]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1065 |
val sbd_Cnotzero = sbd_Cinfinite RS @{thm Cinfinite_Cnotzero}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1066 |
val sbd_Card_order = sbd_Cinfinite RS conjunct2; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1067 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1068 |
fun mk_set_sbd i bd_Card_order bds = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1069 |
map (fn thm => @{thm ordLeq_ordIso_trans} OF |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1070 |
[bd_Card_order RS mk_ordLeq_csum n i thm, sbd_ordIso]) bds; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1071 |
val set_sbdss = map3 mk_set_sbd ks bd_Card_orders set_bdss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1072 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1073 |
fun mk_in_sbd i Co Cnz bd = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1074 |
Cnz RS ((@{thm ordLeq_ordIso_trans} OF |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1075 |
[(Co RS mk_ordLeq_csum n i (Co RS @{thm ordLeq_refl})), sbd_ordIso]) RS |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1076 |
(bd RS @{thm ordLeq_transitive[OF _ |
51782
84e7225f5ab6
removed unnecessary assumptions in some theorems about cardinal exponentiation
traytel
parents:
51767
diff
changeset
|
1077 |
cexp_mono2_Cnotzero[OF _ Card_order_csum]]})); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1078 |
val in_sbds = map4 mk_in_sbd ks bd_Card_orders bd_Cnotzeros in_bds; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1079 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1080 |
(lthy, sbd, sbdT, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1081 |
sbd_card_order, sbd_Cinfinite, sbd_Cnotzero, sbd_Card_order, set_sbdss, in_sbds) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1082 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1083 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1084 |
fun mk_sbd_sbd 1 = sbd_Card_order RS @{thm ordIso_refl} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1085 |
| mk_sbd_sbd n = @{thm csum_absorb1} OF |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1086 |
[sbd_Cinfinite, mk_sbd_sbd (n - 1) RS @{thm ordIso_imp_ordLeq}]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1087 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1088 |
val sbd_sbd_thm = mk_sbd_sbd n; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1089 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1090 |
val sbdTs = replicate n sbdT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1091 |
val sum_sbd = Library.foldr1 (uncurry mk_csum) (replicate n sbd); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1092 |
val sum_sbdT = mk_sumTN sbdTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1093 |
val sum_sbd_listT = HOLogic.listT sum_sbdT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1094 |
val sum_sbd_list_setT = HOLogic.mk_setT sum_sbd_listT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1095 |
val bdTs = passiveAs @ replicate n sbdT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1096 |
val to_sbd_maps = map4 mk_map_of_bnf Dss Ass (replicate n bdTs) bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1097 |
val bdFTs = mk_FTs bdTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1098 |
val sbdFT = mk_sumTN bdFTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1099 |
val treeT = HOLogic.mk_prodT (sum_sbd_list_setT, sum_sbd_listT --> sbdFT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1100 |
val treeQT = HOLogic.mk_setT treeT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1101 |
val treeTs = passiveAs @ replicate n treeT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1102 |
val treeQTs = passiveAs @ replicate n treeQT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1103 |
val treeFTs = mk_FTs treeTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1104 |
val tree_maps = map4 mk_map_of_bnf Dss (replicate n bdTs) (replicate n treeTs) bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1105 |
val final_maps = map4 mk_map_of_bnf Dss (replicate n treeTs) (replicate n treeQTs) bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1106 |
val tree_setss = mk_setss treeTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1107 |
val isNode_setss = mk_setss (passiveAs @ replicate n sbdT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1108 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1109 |
val root = HOLogic.mk_set sum_sbd_listT [HOLogic.mk_list sum_sbdT []]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1110 |
val Zero = HOLogic.mk_tuple (map (fn U => absdummy U root) activeAs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1111 |
val Lev_recT = fastype_of Zero; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1112 |
val LevT = Library.foldr (op -->) (sTs, HOLogic.natT --> Lev_recT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1113 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1114 |
val Nil = HOLogic.mk_tuple (map3 (fn i => fn z => fn z'=> |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1115 |
Term.absfree z' (mk_InN activeAs z i)) ks zs zs'); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1116 |
val rv_recT = fastype_of Nil; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1117 |
val rvT = Library.foldr (op -->) (sTs, sum_sbd_listT --> rv_recT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1118 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1119 |
val (((((((((((sumx, sumx'), (kks, kks')), (kl, kl')), (kl_copy, kl'_copy)), (Kl, Kl')), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1120 |
(lab, lab')), (Kl_lab, Kl_lab')), xs), (Lev_rec, Lev_rec')), (rv_rec, rv_rec')), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1121 |
names_lthy) = names_lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1122 |
|> yield_singleton (apfst (op ~~) oo mk_Frees' "sumx") sum_sbdT |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1123 |
||>> mk_Frees' "k" sbdTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1124 |
||>> yield_singleton (apfst (op ~~) oo mk_Frees' "kl") sum_sbd_listT |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1125 |
||>> yield_singleton (apfst (op ~~) oo mk_Frees' "kl") sum_sbd_listT |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1126 |
||>> yield_singleton (apfst (op ~~) oo mk_Frees' "Kl") sum_sbd_list_setT |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1127 |
||>> yield_singleton (apfst (op ~~) oo mk_Frees' "lab") (sum_sbd_listT --> sbdFT) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1128 |
||>> yield_singleton (apfst (op ~~) oo mk_Frees' "Kl_lab") treeT |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1129 |
||>> mk_Frees "x" bdFTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1130 |
||>> yield_singleton (apfst (op ~~) oo mk_Frees' "rec") Lev_recT |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1131 |
||>> yield_singleton (apfst (op ~~) oo mk_Frees' "rec") rv_recT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1132 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1133 |
val (k, k') = (hd kks, hd kks') |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1134 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1135 |
val timer = time (timer "Bounds"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1136 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1137 |
(* tree coalgebra *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1138 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1139 |
fun isNode_bind i = Binding.suffix_name ("_" ^ isNodeN ^ (if n = 1 then "" else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1140 |
string_of_int i)) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1141 |
val isNode_name = Binding.name_of o isNode_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1142 |
val isNode_def_bind = rpair [] o Thm.def_binding o isNode_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1143 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1144 |
val isNodeT = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1145 |
Library.foldr (op -->) (map fastype_of (As @ [Kl, lab, kl]), HOLogic.boolT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1146 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1147 |
val Succs = map3 (fn i => fn k => fn k' => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1148 |
HOLogic.mk_Collect (fst k', snd k', HOLogic.mk_mem (mk_InN sbdTs k i, mk_Succ Kl kl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1149 |
ks kks kks'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1150 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1151 |
fun isNode_spec sets x i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1152 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1153 |
val (passive_sets, active_sets) = chop m (map (fn set => set $ x) sets); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1154 |
val lhs = Term.list_comb (Free (isNode_name i, isNodeT), As @ [Kl, lab, kl]); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1155 |
val rhs = list_exists_free [x] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1156 |
(Library.foldr1 HOLogic.mk_conj (HOLogic.mk_eq (lab $ kl, mk_InN bdFTs x i) :: |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
1157 |
map2 mk_leq passive_sets As @ map2 (curry HOLogic.mk_eq) active_sets Succs)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1158 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1159 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1160 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1161 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1162 |
val ((isNode_frees, (_, isNode_def_frees)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1163 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1164 |
|> fold_map3 (fn i => fn x => fn sets => Specification.definition |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1165 |
(SOME (isNode_bind i, NONE, NoSyn), (isNode_def_bind i, isNode_spec sets x i))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1166 |
ks xs isNode_setss |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1167 |
|>> apsnd split_list o split_list |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1168 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1169 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1170 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1171 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1172 |
val isNode_defs = map (Morphism.thm phi) isNode_def_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1173 |
val isNodes = map (fst o Term.dest_Const o Morphism.term phi) isNode_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1174 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1175 |
fun mk_isNode As kl i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1176 |
Term.list_comb (Const (nth isNodes (i - 1), isNodeT), As @ [Kl, lab, kl]); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1177 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1178 |
val isTree = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1179 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1180 |
val empty = HOLogic.mk_mem (HOLogic.mk_list sum_sbdT [], Kl); |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
1181 |
val Field = mk_leq Kl (mk_Field (mk_clists sum_sbd)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1182 |
val prefCl = mk_prefCl Kl; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1183 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1184 |
val tree = mk_Ball Kl (Term.absfree kl' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1185 |
(HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1186 |
(Library.foldr1 HOLogic.mk_disj (map (mk_isNode As kl) ks), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1187 |
Library.foldr1 HOLogic.mk_conj (map4 (fn Succ => fn i => fn k => fn k' => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1188 |
mk_Ball Succ (Term.absfree k' (mk_isNode As |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1189 |
(mk_append (kl, HOLogic.mk_list sum_sbdT [mk_InN sbdTs k i])) i))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1190 |
Succs ks kks kks')))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1191 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1192 |
val undef = list_all_free [kl] (HOLogic.mk_imp |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1193 |
(HOLogic.mk_not (HOLogic.mk_mem (kl, Kl)), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1194 |
HOLogic.mk_eq (lab $ kl, mk_undefined sbdFT))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1195 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1196 |
Library.foldr1 HOLogic.mk_conj [empty, Field, prefCl, tree, undef] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1197 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1198 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1199 |
fun carT_bind i = Binding.suffix_name ("_" ^ carTN ^ (if n = 1 then "" else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1200 |
string_of_int i)) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1201 |
val carT_name = Binding.name_of o carT_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1202 |
val carT_def_bind = rpair [] o Thm.def_binding o carT_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1203 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1204 |
fun carT_spec i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1205 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1206 |
val carTT = Library.foldr (op -->) (ATs, HOLogic.mk_setT treeT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1207 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1208 |
val lhs = Term.list_comb (Free (carT_name i, carTT), As); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1209 |
val rhs = HOLogic.mk_Collect (fst Kl_lab', snd Kl_lab', list_exists_free [Kl, lab] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1210 |
(HOLogic.mk_conj (HOLogic.mk_eq (Kl_lab, HOLogic.mk_prod (Kl, lab)), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1211 |
HOLogic.mk_conj (isTree, mk_isNode As (HOLogic.mk_list sum_sbdT []) i)))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1212 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1213 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1214 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1215 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1216 |
val ((carT_frees, (_, carT_def_frees)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1217 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1218 |
|> fold_map (fn i => Specification.definition |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1219 |
(SOME (carT_bind i, NONE, NoSyn), (carT_def_bind i, carT_spec i))) ks |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1220 |
|>> apsnd split_list o split_list |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1221 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1222 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1223 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1224 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1225 |
val carT_defs = map (Morphism.thm phi) carT_def_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1226 |
val carTs = map (fst o Term.dest_Const o Morphism.term phi) carT_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1227 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1228 |
fun mk_carT As i = Term.list_comb |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1229 |
(Const (nth carTs (i - 1), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1230 |
Library.foldr (op -->) (map fastype_of As, HOLogic.mk_setT treeT)), As); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1231 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1232 |
fun strT_bind i = Binding.suffix_name ("_" ^ strTN ^ (if n = 1 then "" else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1233 |
string_of_int i)) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1234 |
val strT_name = Binding.name_of o strT_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1235 |
val strT_def_bind = rpair [] o Thm.def_binding o strT_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1236 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1237 |
fun strT_spec mapFT FT i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1238 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1239 |
val strTT = treeT --> FT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1240 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1241 |
fun mk_f i k k' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1242 |
let val in_k = mk_InN sbdTs k i; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1243 |
in Term.absfree k' (HOLogic.mk_prod (mk_Shift Kl in_k, mk_shift lab in_k)) end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1244 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1245 |
val f = Term.list_comb (mapFT, passive_ids @ map3 mk_f ks kks kks'); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1246 |
val (fTs1, fTs2) = apsnd tl (chop (i - 1) (map (fn T => T --> FT) bdFTs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1247 |
val fs = map mk_undefined fTs1 @ (f :: map mk_undefined fTs2); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1248 |
val lhs = Free (strT_name i, strTT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1249 |
val rhs = HOLogic.mk_split (Term.absfree Kl' (Term.absfree lab' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1250 |
(mk_sum_caseN fs $ (lab $ HOLogic.mk_list sum_sbdT [])))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1251 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1252 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1253 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1254 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1255 |
val ((strT_frees, (_, strT_def_frees)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1256 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1257 |
|> fold_map3 (fn i => fn mapFT => fn FT => Specification.definition |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1258 |
(SOME (strT_bind i, NONE, NoSyn), (strT_def_bind i, strT_spec mapFT FT i))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1259 |
ks tree_maps treeFTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1260 |
|>> apsnd split_list o split_list |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1261 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1262 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1263 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1264 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1265 |
val strT_defs = map ((fn def => trans OF [def RS fun_cong, @{thm prod.cases}]) o |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1266 |
Morphism.thm phi) strT_def_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1267 |
val strTs = map (fst o Term.dest_Const o Morphism.term phi) strT_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1268 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1269 |
fun mk_strT FT i = Const (nth strTs (i - 1), treeT --> FT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1270 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1271 |
val carTAs = map (mk_carT As) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1272 |
val carTAs_copy = map (mk_carT As_copy) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1273 |
val strTAs = map2 mk_strT treeFTs ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1274 |
val hset_strTss = map (fn i => map2 (mk_hset strTAs i) ls passiveAs) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1275 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1276 |
val coalgT_thm = |
51551 | 1277 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1278 |
(fold_rev Logic.all As (HOLogic.mk_Trueprop (mk_coalg As carTAs strTAs))) |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
1279 |
(mk_coalgT_tac m (coalg_def :: isNode_defs @ carT_defs) strT_defs set_map'ss) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1280 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1281 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1282 |
val card_of_carT_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1283 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1284 |
val lhs = mk_card_of |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1285 |
(HOLogic.mk_Collect (fst Kl_lab', snd Kl_lab', list_exists_free [Kl, lab] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1286 |
(HOLogic.mk_conj (HOLogic.mk_eq (Kl_lab, HOLogic.mk_prod (Kl, lab)), isTree)))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1287 |
val rhs = mk_cexp |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1288 |
(if m = 0 then ctwo else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1289 |
(mk_csum (Library.foldr1 (uncurry mk_csum) (map mk_card_of As)) ctwo)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1290 |
(mk_cexp sbd sbd); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1291 |
val card_of_carT = |
51551 | 1292 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1293 |
(fold_rev Logic.all As (HOLogic.mk_Trueprop (mk_ordLeq lhs rhs))) |
51798 | 1294 |
(K (mk_card_of_carT_tac lthy m isNode_defs sbd_sbd_thm |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1295 |
sbd_card_order sbd_Card_order sbd_Cinfinite sbd_Cnotzero in_sbds)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1296 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1297 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1298 |
map (fn def => @{thm ordLeq_transitive[OF |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1299 |
card_of_mono1[OF ord_eq_le_trans[OF _ Collect_restrict']]]} OF [def, card_of_carT]) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1300 |
carT_defs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1301 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1302 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1303 |
val carT_set_thmss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1304 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1305 |
val Kl_lab = HOLogic.mk_prod (Kl, lab); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1306 |
fun mk_goal carT strT set k i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1307 |
fold_rev Logic.all (sumx :: Kl :: lab :: k :: kl :: As) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1308 |
(Logic.list_implies (map HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1309 |
[HOLogic.mk_mem (Kl_lab, carT), HOLogic.mk_mem (mk_Cons sumx kl, Kl), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1310 |
HOLogic.mk_eq (sumx, mk_InN sbdTs k i)], |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1311 |
HOLogic.mk_Trueprop (HOLogic.mk_mem |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1312 |
(HOLogic.mk_prod (mk_Shift Kl sumx, mk_shift lab sumx), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1313 |
set $ (strT $ Kl_lab))))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1314 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1315 |
val goalss = map3 (fn carT => fn strT => fn sets => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1316 |
map3 (mk_goal carT strT) (drop m sets) kks ks) carTAs strTAs tree_setss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1317 |
in |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
1318 |
map6 (fn i => fn goals => fn carT_def => fn strT_def => fn isNode_def => fn set_maps => |
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
1319 |
map2 (fn goal => fn set_map => |
51551 | 1320 |
Goal.prove_sorry lthy [] [] goal |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
1321 |
(mk_carT_set_tac n i carT_def strT_def isNode_def set_map) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1322 |
|> Thm.close_derivation) |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
1323 |
goals (drop m set_maps)) |
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
1324 |
ks goalss carT_defs strT_defs isNode_defs set_map'ss |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1325 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1326 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1327 |
val carT_set_thmss' = transpose carT_set_thmss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1328 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1329 |
val isNode_hset_thmss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1330 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1331 |
val Kl_lab = HOLogic.mk_prod (Kl, lab); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1332 |
fun mk_Kl_lab carT = HOLogic.mk_mem (Kl_lab, carT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1333 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1334 |
val strT_hset_thmsss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1335 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1336 |
val strT_hset_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1337 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1338 |
fun mk_lab_kl i x = HOLogic.mk_eq (lab $ kl, mk_InN bdFTs x i); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1339 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1340 |
fun mk_inner_conjunct j T i x set i' carT = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1341 |
HOLogic.mk_imp (HOLogic.mk_conj (mk_Kl_lab carT, mk_lab_kl i x), |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
1342 |
mk_leq (set $ x) (mk_hset strTAs i' j T $ Kl_lab)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1343 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1344 |
fun mk_conjunct j T i x set = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1345 |
Library.foldr1 HOLogic.mk_conj (map2 (mk_inner_conjunct j T i x set) ks carTAs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1346 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1347 |
fun mk_concl j T = list_all_free (Kl :: lab :: xs @ As) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1348 |
(HOLogic.mk_imp (HOLogic.mk_mem (kl, Kl), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1349 |
Library.foldr1 HOLogic.mk_conj (map3 (mk_conjunct j T) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1350 |
ks xs (map (fn xs => nth xs (j - 1)) isNode_setss)))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1351 |
val concls = map2 mk_concl ls passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1352 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1353 |
val cTs = [SOME (certifyT lthy sum_sbdT)]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1354 |
val arg_cong_cTs = map (SOME o certifyT lthy) treeFTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1355 |
val ctss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1356 |
map (fn phi => map (SOME o certify lthy) [Term.absfree kl' phi, kl]) concls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1357 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1358 |
val goals = map HOLogic.mk_Trueprop concls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1359 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1360 |
map5 (fn j => fn goal => fn cts => fn set_incl_hsets => fn set_hset_incl_hsetss => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1361 |
singleton (Proof_Context.export names_lthy lthy) |
51551 | 1362 |
(Goal.prove_sorry lthy [] [] goal |
51798 | 1363 |
(K (mk_strT_hset_tac lthy n m j arg_cong_cTs cTs cts |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1364 |
carT_defs strT_defs isNode_defs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1365 |
set_incl_hsets set_hset_incl_hsetss coalg_set_thmss' carT_set_thmss' |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
1366 |
coalgT_thm set_map'ss))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1367 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1368 |
ls goals ctss set_incl_hset_thmss' set_hset_incl_hset_thmsss'' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1369 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1370 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1371 |
val strT_hset'_thms = map (fn thm => mk_specN (2 + n + m) thm RS mp) strT_hset_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1372 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1373 |
map (fn thm => map (fn i => map (fn i' => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1374 |
thm RS mk_conjunctN n i RS mk_conjunctN n i' RS mp) ks) ks) strT_hset'_thms |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1375 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1376 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1377 |
val carT_prems = map (fn carT => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1378 |
HOLogic.mk_Trueprop (HOLogic.mk_mem (Kl_lab, carT))) carTAs_copy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1379 |
val prem = HOLogic.mk_Trueprop (HOLogic.mk_mem (kl, Kl)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1380 |
val in_prems = map (fn hsets => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1381 |
HOLogic.mk_Trueprop (HOLogic.mk_mem (Kl_lab, mk_in As hsets treeT))) hset_strTss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1382 |
val isNode_premss = replicate n (map (HOLogic.mk_Trueprop o mk_isNode As_copy kl) ks); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1383 |
val conclss = replicate n (map (HOLogic.mk_Trueprop o mk_isNode As kl) ks); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1384 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1385 |
map5 (fn carT_prem => fn isNode_prems => fn in_prem => fn concls => fn strT_hset_thmss => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1386 |
map4 (fn isNode_prem => fn concl => fn isNode_def => fn strT_hset_thms => |
51551 | 1387 |
Goal.prove_sorry lthy [] [] |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1388 |
(fold_rev Logic.all (Kl :: lab :: kl :: As @ As_copy) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1389 |
(Logic.list_implies ([carT_prem, prem, isNode_prem, in_prem], concl))) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1390 |
(mk_isNode_hset_tac n isNode_def strT_hset_thms) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1391 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1392 |
isNode_prems concls isNode_defs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1393 |
(if m = 0 then replicate n [] else transpose strT_hset_thmss)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1394 |
carT_prems isNode_premss in_prems conclss |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1395 |
(if m = 0 then replicate n [] else transpose (map transpose strT_hset_thmsss)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1396 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1397 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1398 |
val timer = time (timer "Tree coalgebra"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1399 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1400 |
fun mk_to_sbd s x i i' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1401 |
mk_toCard (nth (nth setssAs (i - 1)) (m + i' - 1) $ (s $ x)) sbd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1402 |
fun mk_from_sbd s x i i' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1403 |
mk_fromCard (nth (nth setssAs (i - 1)) (m + i' - 1) $ (s $ x)) sbd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1404 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1405 |
fun mk_to_sbd_thmss thm = map (map (fn set_sbd => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1406 |
thm OF [set_sbd, sbd_Card_order]) o drop m) set_sbdss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1407 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1408 |
val to_sbd_inj_thmss = mk_to_sbd_thmss @{thm toCard_inj}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1409 |
val to_sbd_thmss = mk_to_sbd_thmss @{thm toCard}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1410 |
val from_to_sbd_thmss = mk_to_sbd_thmss @{thm fromCard_toCard}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1411 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1412 |
val Lev_bind = Binding.suffix_name ("_" ^ LevN) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1413 |
val Lev_name = Binding.name_of Lev_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1414 |
val Lev_def_bind = rpair [] (Thm.def_binding Lev_bind); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1415 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1416 |
val Lev_spec = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1417 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1418 |
fun mk_Suc i s setsAs a a' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1419 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1420 |
val sets = drop m setsAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1421 |
fun mk_set i' set b = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1422 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1423 |
val Cons = HOLogic.mk_eq (kl_copy, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1424 |
mk_Cons (mk_InN sbdTs (mk_to_sbd s a i i' $ b) i') kl) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1425 |
val b_set = HOLogic.mk_mem (b, set $ (s $ a)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1426 |
val kl_rec = HOLogic.mk_mem (kl, mk_nthN n Lev_rec i' $ b); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1427 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1428 |
HOLogic.mk_Collect (fst kl'_copy, snd kl'_copy, list_exists_free [b, kl] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1429 |
(HOLogic.mk_conj (Cons, HOLogic.mk_conj (b_set, kl_rec)))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1430 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1431 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1432 |
Term.absfree a' (Library.foldl1 mk_union (map3 mk_set ks sets zs_copy)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1433 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1434 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1435 |
val Suc = Term.absdummy HOLogic.natT (Term.absfree Lev_rec' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1436 |
(HOLogic.mk_tuple (map5 mk_Suc ks ss setssAs zs zs'))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1437 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1438 |
val lhs = Term.list_comb (Free (Lev_name, LevT), ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1439 |
val rhs = mk_nat_rec Zero Suc; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1440 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1441 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1442 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1443 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1444 |
val ((Lev_free, (_, Lev_def_free)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1445 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1446 |
|> Specification.definition (SOME (Lev_bind, NONE, NoSyn), (Lev_def_bind, Lev_spec)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1447 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1448 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1449 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1450 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1451 |
val Lev_def = Morphism.thm phi Lev_def_free; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1452 |
val Lev = fst (Term.dest_Const (Morphism.term phi Lev_free)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1453 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1454 |
fun mk_Lev ss nat i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1455 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1456 |
val Ts = map fastype_of ss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1457 |
val LevT = Library.foldr (op -->) (Ts, HOLogic.natT --> |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1458 |
HOLogic.mk_tupleT (map (fn U => domain_type U --> sum_sbd_list_setT) Ts)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1459 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1460 |
mk_nthN n (Term.list_comb (Const (Lev, LevT), ss) $ nat) i |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1461 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1462 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1463 |
val Lev_0s = flat (mk_rec_simps n @{thm nat_rec_0} [Lev_def]); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1464 |
val Lev_Sucs = flat (mk_rec_simps n @{thm nat_rec_Suc} [Lev_def]); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1465 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1466 |
val rv_bind = Binding.suffix_name ("_" ^ rvN) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1467 |
val rv_name = Binding.name_of rv_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1468 |
val rv_def_bind = rpair [] (Thm.def_binding rv_bind); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1469 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1470 |
val rv_spec = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1471 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1472 |
fun mk_Cons i s b b' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1473 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1474 |
fun mk_case i' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1475 |
Term.absfree k' (mk_nthN n rv_rec i' $ (mk_from_sbd s b i i' $ k)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1476 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1477 |
Term.absfree b' (mk_sum_caseN (map mk_case ks) $ sumx) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1478 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1479 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1480 |
val Cons = Term.absfree sumx' (Term.absdummy sum_sbd_listT (Term.absfree rv_rec' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1481 |
(HOLogic.mk_tuple (map4 mk_Cons ks ss zs zs')))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1482 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1483 |
val lhs = Term.list_comb (Free (rv_name, rvT), ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1484 |
val rhs = mk_list_rec Nil Cons; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1485 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1486 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1487 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1488 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1489 |
val ((rv_free, (_, rv_def_free)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1490 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1491 |
|> Specification.definition (SOME (rv_bind, NONE, NoSyn), (rv_def_bind, rv_spec)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1492 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1493 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1494 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1495 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1496 |
val rv_def = Morphism.thm phi rv_def_free; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1497 |
val rv = fst (Term.dest_Const (Morphism.term phi rv_free)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1498 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1499 |
fun mk_rv ss kl i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1500 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1501 |
val Ts = map fastype_of ss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1502 |
val As = map domain_type Ts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1503 |
val rvT = Library.foldr (op -->) (Ts, fastype_of kl --> |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1504 |
HOLogic.mk_tupleT (map (fn U => U --> mk_sumTN As) As)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1505 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1506 |
mk_nthN n (Term.list_comb (Const (rv, rvT), ss) $ kl) i |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1507 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1508 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1509 |
val rv_Nils = flat (mk_rec_simps n @{thm list_rec_Nil} [rv_def]); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1510 |
val rv_Conss = flat (mk_rec_simps n @{thm list_rec_Cons} [rv_def]); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1511 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1512 |
fun beh_bind i = Binding.suffix_name ("_" ^ behN ^ (if n = 1 then "" else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1513 |
string_of_int i)) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1514 |
val beh_name = Binding.name_of o beh_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1515 |
val beh_def_bind = rpair [] o Thm.def_binding o beh_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1516 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1517 |
fun beh_spec i z = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1518 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1519 |
val mk_behT = Library.foldr (op -->) (map fastype_of (ss @ [z]), treeT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1520 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1521 |
fun mk_case i to_sbd_map s k k' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1522 |
Term.absfree k' (mk_InN bdFTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1523 |
(Term.list_comb (to_sbd_map, passive_ids @ map (mk_to_sbd s k i) ks) $ (s $ k)) i); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1524 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1525 |
val Lab = Term.absfree kl' (mk_If |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1526 |
(HOLogic.mk_mem (kl, mk_Lev ss (mk_size kl) i $ z)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1527 |
(mk_sum_caseN (map5 mk_case ks to_sbd_maps ss zs zs') $ (mk_rv ss kl i $ z)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1528 |
(mk_undefined sbdFT)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1529 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1530 |
val lhs = Term.list_comb (Free (beh_name i, mk_behT), ss) $ z; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1531 |
val rhs = HOLogic.mk_prod (mk_UNION (HOLogic.mk_UNIV HOLogic.natT) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1532 |
(Term.absfree nat' (mk_Lev ss nat i $ z)), Lab); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1533 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1534 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1535 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1536 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1537 |
val ((beh_frees, (_, beh_def_frees)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1538 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1539 |
|> fold_map2 (fn i => fn z => Specification.definition |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1540 |
(SOME (beh_bind i, NONE, NoSyn), (beh_def_bind i, beh_spec i z))) ks zs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1541 |
|>> apsnd split_list o split_list |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1542 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1543 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1544 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1545 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1546 |
val beh_defs = map (Morphism.thm phi) beh_def_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1547 |
val behs = map (fst o Term.dest_Const o Morphism.term phi) beh_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1548 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1549 |
fun mk_beh ss i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1550 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1551 |
val Ts = map fastype_of ss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1552 |
val behT = Library.foldr (op -->) (Ts, nth activeAs (i - 1) --> treeT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1553 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1554 |
Term.list_comb (Const (nth behs (i - 1), behT), ss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1555 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1556 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1557 |
val Lev_sbd_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1558 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
1559 |
fun mk_conjunct i z = mk_leq (mk_Lev ss nat i $ z) (mk_Field (mk_clists sum_sbd)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1560 |
val goal = list_all_free zs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1561 |
(Library.foldr1 HOLogic.mk_conj (map2 mk_conjunct ks zs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1562 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1563 |
val cts = map (SOME o certify lthy) [Term.absfree nat' goal, nat]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1564 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1565 |
val Lev_sbd = singleton (Proof_Context.export names_lthy lthy) |
51551 | 1566 |
(Goal.prove_sorry lthy [] [] (HOLogic.mk_Trueprop goal) |
51798 | 1567 |
(K (mk_Lev_sbd_tac lthy cts Lev_0s Lev_Sucs to_sbd_thmss)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1568 |
|> Thm.close_derivation); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1569 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1570 |
val Lev_sbd' = mk_specN n Lev_sbd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1571 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1572 |
map (fn i => Lev_sbd' RS mk_conjunctN n i) ks |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1573 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1574 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1575 |
val (length_Lev_thms, length_Lev'_thms) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1576 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1577 |
fun mk_conjunct i z = HOLogic.mk_imp (HOLogic.mk_mem (kl, mk_Lev ss nat i $ z), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1578 |
HOLogic.mk_eq (mk_size kl, nat)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1579 |
val goal = list_all_free (kl :: zs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1580 |
(Library.foldr1 HOLogic.mk_conj (map2 mk_conjunct ks zs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1581 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1582 |
val cts = map (SOME o certify lthy) [Term.absfree nat' goal, nat]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1583 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1584 |
val length_Lev = singleton (Proof_Context.export names_lthy lthy) |
51551 | 1585 |
(Goal.prove_sorry lthy [] [] (HOLogic.mk_Trueprop goal) |
51798 | 1586 |
(K (mk_length_Lev_tac lthy cts Lev_0s Lev_Sucs)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1587 |
|> Thm.close_derivation); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1588 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1589 |
val length_Lev' = mk_specN (n + 1) length_Lev; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1590 |
val length_Levs = map (fn i => length_Lev' RS mk_conjunctN n i RS mp) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1591 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1592 |
fun mk_goal i z = fold_rev Logic.all (z :: kl :: nat :: ss) (Logic.mk_implies |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1593 |
(HOLogic.mk_Trueprop (HOLogic.mk_mem (kl, mk_Lev ss nat i $ z)), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1594 |
HOLogic.mk_Trueprop (HOLogic.mk_mem (kl, mk_Lev ss (mk_size kl) i $ z)))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1595 |
val goals = map2 mk_goal ks zs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1596 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1597 |
val length_Levs' = map2 (fn goal => fn length_Lev => |
51551 | 1598 |
Goal.prove_sorry lthy [] [] goal (K (mk_length_Lev'_tac length_Lev)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1599 |
|> Thm.close_derivation) goals length_Levs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1600 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1601 |
(length_Levs, length_Levs') |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1602 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1603 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1604 |
val prefCl_Lev_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1605 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1606 |
fun mk_conjunct i z = HOLogic.mk_imp |
50058
bb1fadeba35e
import Sublist rather than PrefixOrder to avoid unnecessary class instantiation
traytel
parents:
49835
diff
changeset
|
1607 |
(HOLogic.mk_conj (HOLogic.mk_mem (kl, mk_Lev ss nat i $ z), mk_prefixeq kl_copy kl), |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1608 |
HOLogic.mk_mem (kl_copy, mk_Lev ss (mk_size kl_copy) i $ z)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1609 |
val goal = list_all_free (kl :: kl_copy :: zs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1610 |
(Library.foldr1 HOLogic.mk_conj (map2 mk_conjunct ks zs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1611 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1612 |
val cts = map (SOME o certify lthy) [Term.absfree nat' goal, nat]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1613 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1614 |
val prefCl_Lev = singleton (Proof_Context.export names_lthy lthy) |
51551 | 1615 |
(Goal.prove_sorry lthy [] [] (HOLogic.mk_Trueprop goal) |
51798 | 1616 |
(K (mk_prefCl_Lev_tac lthy cts Lev_0s Lev_Sucs))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1617 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1618 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1619 |
val prefCl_Lev' = mk_specN (n + 2) prefCl_Lev; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1620 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1621 |
map (fn i => prefCl_Lev' RS mk_conjunctN n i RS mp) ks |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1622 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1623 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1624 |
val rv_last_thmss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1625 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1626 |
fun mk_conjunct i z i' z_copy = list_exists_free [z_copy] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1627 |
(HOLogic.mk_eq |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1628 |
(mk_rv ss (mk_append (kl, HOLogic.mk_list sum_sbdT [mk_InN sbdTs k i'])) i $ z, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1629 |
mk_InN activeAs z_copy i')); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1630 |
val goal = list_all_free (k :: zs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1631 |
(Library.foldr1 HOLogic.mk_conj (map2 (fn i => fn z => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1632 |
Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1633 |
(map2 (mk_conjunct i z) ks zs_copy)) ks zs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1634 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1635 |
val cTs = [SOME (certifyT lthy sum_sbdT)]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1636 |
val cts = map (SOME o certify lthy) [Term.absfree kl' goal, kl]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1637 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1638 |
val rv_last = singleton (Proof_Context.export names_lthy lthy) |
51551 | 1639 |
(Goal.prove_sorry lthy [] [] (HOLogic.mk_Trueprop goal) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1640 |
(K (mk_rv_last_tac cTs cts rv_Nils rv_Conss))) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1641 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1642 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1643 |
val rv_last' = mk_specN (n + 1) rv_last; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1644 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1645 |
map (fn i => map (fn i' => rv_last' RS mk_conjunctN n i RS mk_conjunctN n i') ks) ks |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1646 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1647 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1648 |
val set_rv_Lev_thmsss = if m = 0 then replicate n (replicate n []) else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1649 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1650 |
fun mk_case s sets z z_free = Term.absfree z_free (Library.foldr1 HOLogic.mk_conj |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
1651 |
(map2 (fn set => fn A => mk_leq (set $ (s $ z)) A) (take m sets) As)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1652 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1653 |
fun mk_conjunct i z B = HOLogic.mk_imp |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1654 |
(HOLogic.mk_conj (HOLogic.mk_mem (kl, mk_Lev ss nat i $ z), HOLogic.mk_mem (z, B)), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1655 |
mk_sum_caseN (map4 mk_case ss setssAs zs zs') $ (mk_rv ss kl i $ z)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1656 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1657 |
val goal = list_all_free (kl :: zs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1658 |
(Library.foldr1 HOLogic.mk_conj (map3 mk_conjunct ks zs Bs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1659 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1660 |
val cts = map (SOME o certify lthy) [Term.absfree nat' goal, nat]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1661 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1662 |
val set_rv_Lev = singleton (Proof_Context.export names_lthy lthy) |
51551 | 1663 |
(Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1664 |
(Logic.mk_implies (coalg_prem, HOLogic.mk_Trueprop goal)) |
51798 | 1665 |
(K (mk_set_rv_Lev_tac lthy m cts Lev_0s Lev_Sucs rv_Nils rv_Conss |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1666 |
coalg_set_thmss from_to_sbd_thmss))) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1667 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1668 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1669 |
val set_rv_Lev' = mk_specN (n + 1) set_rv_Lev; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1670 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1671 |
map (fn i => map (fn i' => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1672 |
split_conj_thm (if n = 1 then set_rv_Lev' RS mk_conjunctN n i RS mp |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1673 |
else set_rv_Lev' RS mk_conjunctN n i RS mp RSN |
49327
541d818d2ff3
put an underscore between names, for compatibility with old package (and also because it makes sense)
blanchet
parents:
49311
diff
changeset
|
1674 |
(2, @{thm sum_case_weak_cong} RS @{thm subst[of _ _ "%x. x"]}) RS |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1675 |
(mk_sum_casesN n i' RS @{thm subst[of _ _ "%x. x"]}))) ks) ks |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1676 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1677 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1678 |
val set_Lev_thmsss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1679 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1680 |
fun mk_conjunct i z = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1681 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1682 |
fun mk_conjunct' i' sets s z' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1683 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1684 |
fun mk_conjunct'' i'' set z'' = HOLogic.mk_imp |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1685 |
(HOLogic.mk_mem (z'', set $ (s $ z')), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1686 |
HOLogic.mk_mem (mk_append (kl, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1687 |
HOLogic.mk_list sum_sbdT [mk_InN sbdTs (mk_to_sbd s z' i' i'' $ z'') i'']), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1688 |
mk_Lev ss (HOLogic.mk_Suc nat) i $ z)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1689 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1690 |
HOLogic.mk_imp (HOLogic.mk_eq (mk_rv ss kl i $ z, mk_InN activeAs z' i'), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1691 |
(Library.foldr1 HOLogic.mk_conj (map3 mk_conjunct'' ks (drop m sets) zs_copy2))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1692 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1693 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1694 |
HOLogic.mk_imp (HOLogic.mk_mem (kl, mk_Lev ss nat i $ z), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1695 |
Library.foldr1 HOLogic.mk_conj (map4 mk_conjunct' ks setssAs ss zs_copy)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1696 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1697 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1698 |
val goal = list_all_free (kl :: zs @ zs_copy @ zs_copy2) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1699 |
(Library.foldr1 HOLogic.mk_conj (map2 mk_conjunct ks zs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1700 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1701 |
val cts = map (SOME o certify lthy) [Term.absfree nat' goal, nat]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1702 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1703 |
val set_Lev = singleton (Proof_Context.export names_lthy lthy) |
51551 | 1704 |
(Goal.prove_sorry lthy [] [] (HOLogic.mk_Trueprop goal) |
51798 | 1705 |
(K (mk_set_Lev_tac lthy cts Lev_0s Lev_Sucs rv_Nils rv_Conss from_to_sbd_thmss))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1706 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1707 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1708 |
val set_Lev' = mk_specN (3 * n + 1) set_Lev; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1709 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1710 |
map (fn i => map (fn i' => map (fn i'' => set_Lev' RS |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1711 |
mk_conjunctN n i RS mp RS |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1712 |
mk_conjunctN n i' RS mp RS |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1713 |
mk_conjunctN n i'' RS mp) ks) ks) ks |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1714 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1715 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1716 |
val set_image_Lev_thmsss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1717 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1718 |
fun mk_conjunct i z = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1719 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1720 |
fun mk_conjunct' i' sets = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1721 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1722 |
fun mk_conjunct'' i'' set s z'' = HOLogic.mk_imp |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1723 |
(HOLogic.mk_eq (mk_rv ss kl i $ z, mk_InN activeAs z'' i''), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1724 |
HOLogic.mk_mem (k, mk_image (mk_to_sbd s z'' i'' i') $ (set $ (s $ z'')))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1725 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1726 |
HOLogic.mk_imp (HOLogic.mk_mem |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1727 |
(mk_append (kl, HOLogic.mk_list sum_sbdT [mk_InN sbdTs k i']), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1728 |
mk_Lev ss (HOLogic.mk_Suc nat) i $ z), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1729 |
(Library.foldr1 HOLogic.mk_conj (map4 mk_conjunct'' ks sets ss zs_copy))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1730 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1731 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1732 |
HOLogic.mk_imp (HOLogic.mk_mem (kl, mk_Lev ss nat i $ z), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1733 |
Library.foldr1 HOLogic.mk_conj (map2 mk_conjunct' ks (drop m setssAs'))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1734 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1735 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1736 |
val goal = list_all_free (kl :: k :: zs @ zs_copy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1737 |
(Library.foldr1 HOLogic.mk_conj (map2 mk_conjunct ks zs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1738 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1739 |
val cts = map (SOME o certify lthy) [Term.absfree nat' goal, nat]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1740 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1741 |
val set_image_Lev = singleton (Proof_Context.export names_lthy lthy) |
51551 | 1742 |
(Goal.prove_sorry lthy [] [] (HOLogic.mk_Trueprop goal) |
51798 | 1743 |
(K (mk_set_image_Lev_tac lthy cts Lev_0s Lev_Sucs rv_Nils rv_Conss |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1744 |
from_to_sbd_thmss to_sbd_inj_thmss))) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1745 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1746 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1747 |
val set_image_Lev' = mk_specN (2 * n + 2) set_image_Lev; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1748 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1749 |
map (fn i => map (fn i' => map (fn i'' => set_image_Lev' RS |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1750 |
mk_conjunctN n i RS mp RS |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1751 |
mk_conjunctN n i'' RS mp RS |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1752 |
mk_conjunctN n i' RS mp) ks) ks) ks |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1753 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1754 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1755 |
val mor_beh_thm = |
51551 | 1756 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1757 |
(fold_rev Logic.all (As @ Bs @ ss) (Logic.mk_implies (coalg_prem, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1758 |
HOLogic.mk_Trueprop (mk_mor Bs ss carTAs strTAs (map (mk_beh ss) ks))))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1759 |
(mk_mor_beh_tac m mor_def mor_cong_thm |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1760 |
beh_defs carT_defs strT_defs isNode_defs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1761 |
to_sbd_inj_thmss from_to_sbd_thmss Lev_0s Lev_Sucs rv_Nils rv_Conss Lev_sbd_thms |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1762 |
length_Lev_thms length_Lev'_thms prefCl_Lev_thms rv_last_thmss |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1763 |
set_rv_Lev_thmsss set_Lev_thmsss set_image_Lev_thmsss |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
1764 |
set_map'ss coalg_set_thmss map_comp_id_thms map_cong0s map_arg_cong_thms) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1765 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1766 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1767 |
val timer = time (timer "Behavioral morphism"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1768 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1769 |
fun mk_LSBIS As i = mk_lsbis As (map (mk_carT As) ks) strTAs i; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1770 |
fun mk_car_final As i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1771 |
mk_quotient (mk_carT As i) (mk_LSBIS As i); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1772 |
fun mk_str_final As i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1773 |
mk_univ (HOLogic.mk_comp (Term.list_comb (nth final_maps (i - 1), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1774 |
passive_ids @ map (mk_proj o mk_LSBIS As) ks), nth strTAs (i - 1))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1775 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1776 |
val car_finalAs = map (mk_car_final As) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1777 |
val str_finalAs = map (mk_str_final As) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1778 |
val car_finals = map (mk_car_final passive_UNIVs) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1779 |
val str_finals = map (mk_str_final passive_UNIVs) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1780 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1781 |
val coalgT_set_thmss = map (map (fn thm => coalgT_thm RS thm)) coalg_set_thmss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1782 |
val equiv_LSBIS_thms = map (fn thm => coalgT_thm RS thm) equiv_lsbis_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1783 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1784 |
val congruent_str_final_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1785 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1786 |
fun mk_goal R final_map strT = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1787 |
fold_rev Logic.all As (HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1788 |
(mk_congruent R (HOLogic.mk_comp |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1789 |
(Term.list_comb (final_map, passive_ids @ map (mk_proj o mk_LSBIS As) ks), strT)))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1790 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1791 |
val goals = map3 mk_goal (map (mk_LSBIS As) ks) final_maps strTAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1792 |
in |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
1793 |
map4 (fn goal => fn lsbisE => fn map_comp_id => fn map_cong0 => |
51551 | 1794 |
Goal.prove_sorry lthy [] [] goal |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
1795 |
(K (mk_congruent_str_final_tac m lsbisE map_comp_id map_cong0 equiv_LSBIS_thms)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1796 |
|> Thm.close_derivation) |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
1797 |
goals lsbisE_thms map_comp_id_thms map_cong0s |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1798 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1799 |
|
51551 | 1800 |
val coalg_final_thm = Goal.prove_sorry lthy [] [] (fold_rev Logic.all As |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1801 |
(HOLogic.mk_Trueprop (mk_coalg As car_finalAs str_finalAs))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1802 |
(K (mk_coalg_final_tac m coalg_def congruent_str_final_thms equiv_LSBIS_thms |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
1803 |
set_map'ss coalgT_set_thmss)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1804 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1805 |
|
51551 | 1806 |
val mor_T_final_thm = Goal.prove_sorry lthy [] [] (fold_rev Logic.all As |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1807 |
(HOLogic.mk_Trueprop (mk_mor carTAs strTAs car_finalAs str_finalAs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1808 |
(map (mk_proj o mk_LSBIS As) ks)))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1809 |
(K (mk_mor_T_final_tac mor_def congruent_str_final_thms equiv_LSBIS_thms)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1810 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1811 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1812 |
val mor_final_thm = mor_comp_thm OF [mor_beh_thm, mor_T_final_thm]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1813 |
val in_car_final_thms = map (fn mor_image' => mor_image' OF |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1814 |
[tcoalg_thm RS mor_final_thm, UNIV_I]) mor_image'_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1815 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1816 |
val timer = time (timer "Final coalgebra"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1817 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1818 |
val ((T_names, (T_glob_infos, T_loc_infos)), lthy) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1819 |
lthy |
49169 | 1820 |
|> fold_map4 (fn b => fn mx => fn car_final => fn in_car_final => |
49835 | 1821 |
typedef (b, params, mx) car_final NONE |
49169 | 1822 |
(EVERY' [rtac exI, rtac in_car_final] 1)) bs mixfixes car_finals in_car_final_thms |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1823 |
|>> apsnd split_list o split_list; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1824 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1825 |
val Ts = map (fn name => Type (name, params')) T_names; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1826 |
fun mk_Ts passive = map (Term.typ_subst_atomic (passiveAs ~~ passive)) Ts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1827 |
val Ts' = mk_Ts passiveBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1828 |
val Ts'' = mk_Ts passiveCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1829 |
val Rep_Ts = map2 (fn info => fn T => Const (#Rep_name info, T --> treeQT)) T_glob_infos Ts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1830 |
val Abs_Ts = map2 (fn info => fn T => Const (#Abs_name info, treeQT --> T)) T_glob_infos Ts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1831 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1832 |
val Reps = map #Rep T_loc_infos; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1833 |
val Rep_injects = map #Rep_inject T_loc_infos; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1834 |
val Rep_inverses = map #Rep_inverse T_loc_infos; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1835 |
val Abs_inverses = map #Abs_inverse T_loc_infos; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1836 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1837 |
val timer = time (timer "THE TYPEDEFs & Rep/Abs thms"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1838 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1839 |
val UNIVs = map HOLogic.mk_UNIV Ts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1840 |
val FTs = mk_FTs (passiveAs @ Ts); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1841 |
val FTs' = mk_FTs (passiveBs @ Ts); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1842 |
val prodTs = map (HOLogic.mk_prodT o `I) Ts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1843 |
val prodFTs = mk_FTs (passiveAs @ prodTs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1844 |
val FTs_setss = mk_setss (passiveAs @ Ts); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1845 |
val prodFT_setss = mk_setss (passiveAs @ prodTs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1846 |
val map_FTs = map2 (fn Ds => mk_map_of_bnf Ds treeQTs (passiveAs @ Ts)) Dss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1847 |
val map_FT_nths = map2 (fn Ds => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1848 |
mk_map_of_bnf Ds (passiveAs @ prodTs) (passiveAs @ Ts)) Dss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1849 |
val fstsTs = map fst_const prodTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1850 |
val sndsTs = map snd_const prodTs; |
49501 | 1851 |
val dtorTs = map2 (curry (op -->)) Ts FTs; |
1852 |
val ctorTs = map2 (curry (op -->)) FTs Ts; |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1853 |
val unfold_fTs = map2 (curry op -->) activeAs Ts; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1854 |
val corec_sTs = map (Term.typ_subst_atomic (activeBs ~~ Ts)) sum_sTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1855 |
val corec_maps = map (Term.subst_atomic_types (activeBs ~~ Ts)) map_Inls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1856 |
val corec_maps_rev = map (Term.subst_atomic_types (activeBs ~~ Ts)) map_Inls_rev; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1857 |
val corec_Inls = map (Term.subst_atomic_types (activeBs ~~ Ts)) Inls; |
51739
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1858 |
val corec_UNIVs = map2 (HOLogic.mk_UNIV oo curry mk_sumT) Ts activeAs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1859 |
|
51925 | 1860 |
val ((((((((((((((Jzs, Jzs'), (Jz's, Jz's')), Jzs_copy), Jz's_copy), Jzs1), Jzs2), Jpairs), |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1861 |
FJzs), TRs), unfold_fs), unfold_fs_copy), corec_ss), phis), names_lthy) = names_lthy |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1862 |
|> mk_Frees' "z" Ts |
51925 | 1863 |
||>> mk_Frees' "y" Ts' |
1864 |
||>> mk_Frees "z'" Ts |
|
1865 |
||>> mk_Frees "y'" Ts' |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1866 |
||>> mk_Frees "z1" Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1867 |
||>> mk_Frees "z2" Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1868 |
||>> mk_Frees "j" (map2 (curry HOLogic.mk_prodT) Ts Ts') |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1869 |
||>> mk_Frees "x" prodFTs |
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49588
diff
changeset
|
1870 |
||>> mk_Frees "r" (map (mk_relT o `I) Ts) |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1871 |
||>> mk_Frees "f" unfold_fTs |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1872 |
||>> mk_Frees "g" unfold_fTs |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1873 |
||>> mk_Frees "s" corec_sTs |
49592
b859a02c1150
fixed "rels" + split them into injectivity and distinctness
blanchet
parents:
49591
diff
changeset
|
1874 |
||>> mk_Frees "P" (map2 mk_pred2T Ts Ts); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1875 |
|
49501 | 1876 |
fun dtor_bind i = Binding.suffix_name ("_" ^ dtorN) (nth bs (i - 1)); |
1877 |
val dtor_name = Binding.name_of o dtor_bind; |
|
1878 |
val dtor_def_bind = rpair [] o Thm.def_binding o dtor_bind; |
|
1879 |
||
1880 |
fun dtor_spec i rep str map_FT dtorT Jz Jz' = |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1881 |
let |
49501 | 1882 |
val lhs = Free (dtor_name i, dtorT); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1883 |
val rhs = Term.absfree Jz' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1884 |
(Term.list_comb (map_FT, map HOLogic.id_const passiveAs @ Abs_Ts) $ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1885 |
(str $ (rep $ Jz))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1886 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1887 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1888 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1889 |
|
49501 | 1890 |
val ((dtor_frees, (_, dtor_def_frees)), (lthy, lthy_old)) = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1891 |
lthy |
49501 | 1892 |
|> fold_map7 (fn i => fn rep => fn str => fn mapx => fn dtorT => fn Jz => fn Jz' => |
1893 |
Specification.definition (SOME (dtor_bind i, NONE, NoSyn), |
|
1894 |
(dtor_def_bind i, dtor_spec i rep str mapx dtorT Jz Jz'))) |
|
1895 |
ks Rep_Ts str_finals map_FTs dtorTs Jzs Jzs' |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1896 |
|>> apsnd split_list o split_list |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1897 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1898 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1899 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
49501 | 1900 |
fun mk_dtors passive = |
49185
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49176
diff
changeset
|
1901 |
map (Term.subst_atomic_types (map (Morphism.typ phi) params' ~~ (mk_params passive)) o |
49501 | 1902 |
Morphism.term phi) dtor_frees; |
1903 |
val dtors = mk_dtors passiveAs; |
|
1904 |
val dtor's = mk_dtors passiveBs; |
|
1905 |
val dtor_defs = map ((fn thm => thm RS fun_cong) o Morphism.thm phi) dtor_def_frees; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1906 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1907 |
val coalg_final_set_thmss = map (map (fn thm => coalg_final_thm RS thm)) coalg_set_thmss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1908 |
val (mor_Rep_thm, mor_Abs_thm) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1909 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1910 |
val mor_Rep = |
51551 | 1911 |
Goal.prove_sorry lthy [] [] |
49501 | 1912 |
(HOLogic.mk_Trueprop (mk_mor UNIVs dtors car_finals str_finals Rep_Ts)) |
1913 |
(mk_mor_Rep_tac m (mor_def :: dtor_defs) Reps Abs_inverses coalg_final_set_thmss |
|
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
1914 |
map_comp_id_thms map_cong0L_thms) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1915 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1916 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1917 |
val mor_Abs = |
51551 | 1918 |
Goal.prove_sorry lthy [] [] |
49501 | 1919 |
(HOLogic.mk_Trueprop (mk_mor car_finals str_finals UNIVs dtors Abs_Ts)) |
1920 |
(mk_mor_Abs_tac (mor_def :: dtor_defs) Abs_inverses) |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1921 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1922 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1923 |
(mor_Rep, mor_Abs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1924 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1925 |
|
49501 | 1926 |
val timer = time (timer "dtor definitions & thms"); |
1927 |
||
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1928 |
fun unfold_bind i = Binding.suffix_name ("_" ^ dtor_unfoldN) (nth bs (i - 1)); |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1929 |
val unfold_name = Binding.name_of o unfold_bind; |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1930 |
val unfold_def_bind = rpair [] o Thm.def_binding o unfold_bind; |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1931 |
|
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1932 |
fun unfold_spec i T AT abs f z z' = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1933 |
let |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1934 |
val unfoldT = Library.foldr (op -->) (sTs, AT --> T); |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1935 |
|
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1936 |
val lhs = Term.list_comb (Free (unfold_name i, unfoldT), ss); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1937 |
val rhs = Term.absfree z' (abs $ (f $ z)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1938 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1939 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1940 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1941 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1942 |
val ((unfold_frees, (_, unfold_def_frees)), (lthy, lthy_old)) = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1943 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1944 |
|> fold_map7 (fn i => fn T => fn AT => fn abs => fn f => fn z => fn z' => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1945 |
Specification.definition |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1946 |
(SOME (unfold_bind i, NONE, NoSyn), (unfold_def_bind i, unfold_spec i T AT abs f z z'))) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1947 |
ks Ts activeAs Abs_Ts (map (fn i => HOLogic.mk_comp |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1948 |
(mk_proj (mk_LSBIS passive_UNIVs i), mk_beh ss i)) ks) zs zs' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1949 |
|>> apsnd split_list o split_list |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1950 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1951 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1952 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1953 |
val unfolds = map (Morphism.term phi) unfold_frees; |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1954 |
val unfold_names = map (fst o dest_Const) unfolds; |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1955 |
fun mk_unfold Ts ss i = Term.list_comb (Const (nth unfold_names (i - 1), Library.foldr (op -->) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1956 |
(map fastype_of ss, domain_type (fastype_of (nth ss (i - 1))) --> nth Ts (i - 1))), ss); |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1957 |
val unfold_defs = map ((fn thm => thm RS fun_cong) o Morphism.thm phi) unfold_def_frees; |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1958 |
|
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1959 |
val mor_unfold_thm = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1960 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1961 |
val Abs_inverses' = map2 (curry op RS) in_car_final_thms Abs_inverses; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1962 |
val morEs' = map (fn thm => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1963 |
(thm OF [tcoalg_thm RS mor_final_thm, UNIV_I]) RS sym) morE_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1964 |
in |
51551 | 1965 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1966 |
(fold_rev Logic.all ss |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1967 |
(HOLogic.mk_Trueprop (mk_mor active_UNIVs ss UNIVs dtors (map (mk_unfold Ts ss) ks)))) |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1968 |
(K (mk_mor_unfold_tac m mor_UNIV_thm dtor_defs unfold_defs Abs_inverses' morEs' |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
1969 |
map_comp_id_thms map_cong0s)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1970 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1971 |
end; |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1972 |
val dtor_unfold_thms = map (fn thm => (thm OF [mor_unfold_thm, UNIV_I]) RS sym) morE_thms; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1973 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1974 |
val (raw_coind_thms, raw_coind_thm) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1975 |
let |
49501 | 1976 |
val prem = HOLogic.mk_Trueprop (mk_sbis passive_UNIVs UNIVs dtors TRs); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1977 |
val concl = HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
1978 |
(map2 (fn R => fn T => mk_leq R (Id_const T)) TRs Ts)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1979 |
val goal = fold_rev Logic.all TRs (Logic.mk_implies (prem, concl)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1980 |
in |
51551 | 1981 |
`split_conj_thm (Goal.prove_sorry lthy [] [] goal |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1982 |
(K (mk_raw_coind_tac bis_def bis_cong_thm bis_O_thm bis_converse_thm bis_Gr_thm |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1983 |
tcoalg_thm coalgT_thm mor_T_final_thm sbis_lsbis_thm |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1984 |
lsbis_incl_thms incl_lsbis_thms equiv_LSBIS_thms mor_Rep_thm Rep_injects)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
1985 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1986 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1987 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1988 |
val unique_mor_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1989 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1990 |
val prems = [HOLogic.mk_Trueprop (mk_coalg passive_UNIVs Bs ss), HOLogic.mk_Trueprop |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1991 |
(HOLogic.mk_conj (mk_mor Bs ss UNIVs dtors unfold_fs, |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1992 |
mk_mor Bs ss UNIVs dtors unfold_fs_copy))]; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1993 |
fun mk_fun_eq B f g z = HOLogic.mk_imp |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1994 |
(HOLogic.mk_mem (z, B), HOLogic.mk_eq (f $ z, g $ z)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1995 |
val unique = HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1996 |
(map4 mk_fun_eq Bs unfold_fs unfold_fs_copy zs)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1997 |
|
51551 | 1998 |
val unique_mor = Goal.prove_sorry lthy [] [] |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
1999 |
(fold_rev Logic.all (Bs @ ss @ unfold_fs @ unfold_fs_copy @ zs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2000 |
(Logic.list_implies (prems, unique))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2001 |
(K (mk_unique_mor_tac raw_coind_thms bis_image2_thm)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2002 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2003 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2004 |
map (fn thm => conjI RSN (2, thm RS mp)) (split_conj_thm unique_mor) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2005 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2006 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2007 |
val (unfold_unique_mor_thms, unfold_unique_mor_thm) = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2008 |
let |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2009 |
val prem = HOLogic.mk_Trueprop (mk_mor active_UNIVs ss UNIVs dtors unfold_fs); |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2010 |
fun mk_fun_eq f i = HOLogic.mk_eq (f, mk_unfold Ts ss i); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2011 |
val unique = HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2012 |
(map2 mk_fun_eq unfold_fs ks)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2013 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2014 |
val bis_thm = tcoalg_thm RSN (2, tcoalg_thm RS bis_image2_thm); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2015 |
val mor_thm = mor_comp_thm OF [tcoalg_thm RS mor_final_thm, mor_Abs_thm]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2016 |
|
51551 | 2017 |
val unique_mor = Goal.prove_sorry lthy [] [] |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2018 |
(fold_rev Logic.all (ss @ unfold_fs) (Logic.mk_implies (prem, unique))) |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2019 |
(K (mk_unfold_unique_mor_tac raw_coind_thms bis_thm mor_thm unfold_defs)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2020 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2021 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2022 |
`split_conj_thm unique_mor |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2023 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2024 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2025 |
val (dtor_unfold_unique_thms, dtor_unfold_unique_thm) = `split_conj_thm (split_conj_prems n |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2026 |
(mor_UNIV_thm RS @{thm ssubst[of _ _ "%x. x"]} RS unfold_unique_mor_thm)); |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2027 |
|
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2028 |
val unfold_dtor_thms = map (fn thm => mor_id_thm RS thm RS sym) unfold_unique_mor_thms; |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2029 |
|
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2030 |
val unfold_o_dtor_thms = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2031 |
let |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2032 |
val mor = mor_comp_thm OF [mor_str_thm, mor_unfold_thm]; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2033 |
in |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2034 |
map2 (fn unique => fn unfold_ctor => |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2035 |
trans OF [mor RS unique, unfold_ctor]) unfold_unique_mor_thms unfold_dtor_thms |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2036 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2037 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2038 |
val timer = time (timer "unfold definitions & thms"); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2039 |
|
49501 | 2040 |
val map_dtors = map2 (fn Ds => fn bnf => |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2041 |
Term.list_comb (mk_map_of_bnf Ds (passiveAs @ Ts) (passiveAs @ FTs) bnf, |
49501 | 2042 |
map HOLogic.id_const passiveAs @ dtors)) Dss bnfs; |
2043 |
||
2044 |
fun ctor_bind i = Binding.suffix_name ("_" ^ ctorN) (nth bs (i - 1)); |
|
2045 |
val ctor_name = Binding.name_of o ctor_bind; |
|
2046 |
val ctor_def_bind = rpair [] o Thm.def_binding o ctor_bind; |
|
2047 |
||
2048 |
fun ctor_spec i ctorT = |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2049 |
let |
49501 | 2050 |
val lhs = Free (ctor_name i, ctorT); |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2051 |
val rhs = mk_unfold Ts map_dtors i; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2052 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
2053 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2054 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2055 |
|
49501 | 2056 |
val ((ctor_frees, (_, ctor_def_frees)), (lthy, lthy_old)) = |
49311 | 2057 |
lthy |
49501 | 2058 |
|> fold_map2 (fn i => fn ctorT => |
49311 | 2059 |
Specification.definition |
49501 | 2060 |
(SOME (ctor_bind i, NONE, NoSyn), (ctor_def_bind i, ctor_spec i ctorT))) ks ctorTs |
49311 | 2061 |
|>> apsnd split_list o split_list |
2062 |
||> `Local_Theory.restore; |
|
2063 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2064 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
49501 | 2065 |
fun mk_ctors params = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2066 |
map (Term.subst_atomic_types (map (Morphism.typ phi) params' ~~ params) o Morphism.term phi) |
49501 | 2067 |
ctor_frees; |
2068 |
val ctors = mk_ctors params'; |
|
2069 |
val ctor_defs = map (Morphism.thm phi) ctor_def_frees; |
|
2070 |
||
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2071 |
val ctor_o_dtor_thms = map2 (fold_thms lthy o single) ctor_defs unfold_o_dtor_thms; |
49501 | 2072 |
|
2073 |
val dtor_o_ctor_thms = |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2074 |
let |
49501 | 2075 |
fun mk_goal dtor ctor FT = |
2076 |
mk_Trueprop_eq (HOLogic.mk_comp (dtor, ctor), HOLogic.id_const FT); |
|
2077 |
val goals = map3 mk_goal dtors ctors FTs; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2078 |
in |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2079 |
map5 (fn goal => fn ctor_def => fn unfold => fn map_comp_id => fn map_cong0L => |
51551 | 2080 |
Goal.prove_sorry lthy [] [] goal |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2081 |
(mk_dtor_o_ctor_tac ctor_def unfold map_comp_id map_cong0L unfold_o_dtor_thms) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2082 |
|> Thm.close_derivation) |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2083 |
goals ctor_defs dtor_unfold_thms map_comp_id_thms map_cong0L_thms |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2084 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2085 |
|
49501 | 2086 |
val dtor_ctor_thms = map (fn thm => thm RS @{thm pointfree_idE}) dtor_o_ctor_thms; |
2087 |
val ctor_dtor_thms = map (fn thm => thm RS @{thm pointfree_idE}) ctor_o_dtor_thms; |
|
2088 |
||
2089 |
val bij_dtor_thms = |
|
2090 |
map2 (fn thm1 => fn thm2 => @{thm o_bij} OF [thm1, thm2]) ctor_o_dtor_thms dtor_o_ctor_thms; |
|
2091 |
val inj_dtor_thms = map (fn thm => thm RS @{thm bij_is_inj}) bij_dtor_thms; |
|
2092 |
val surj_dtor_thms = map (fn thm => thm RS @{thm bij_is_surj}) bij_dtor_thms; |
|
2093 |
val dtor_nchotomy_thms = map (fn thm => thm RS @{thm surjD}) surj_dtor_thms; |
|
2094 |
val dtor_inject_thms = map (fn thm => thm RS @{thm inj_eq}) inj_dtor_thms; |
|
2095 |
val dtor_exhaust_thms = map (fn thm => thm RS exE) dtor_nchotomy_thms; |
|
2096 |
||
2097 |
val bij_ctor_thms = |
|
2098 |
map2 (fn thm1 => fn thm2 => @{thm o_bij} OF [thm1, thm2]) dtor_o_ctor_thms ctor_o_dtor_thms; |
|
2099 |
val inj_ctor_thms = map (fn thm => thm RS @{thm bij_is_inj}) bij_ctor_thms; |
|
2100 |
val surj_ctor_thms = map (fn thm => thm RS @{thm bij_is_surj}) bij_ctor_thms; |
|
2101 |
val ctor_nchotomy_thms = map (fn thm => thm RS @{thm surjD}) surj_ctor_thms; |
|
2102 |
val ctor_inject_thms = map (fn thm => thm RS @{thm inj_eq}) inj_ctor_thms; |
|
2103 |
val ctor_exhaust_thms = map (fn thm => thm RS exE) ctor_nchotomy_thms; |
|
2104 |
||
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2105 |
fun mk_ctor_dtor_unfold_like_thm dtor_inject dtor_ctor unfold = |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2106 |
iffD1 OF [dtor_inject, trans OF [unfold, dtor_ctor RS sym]]; |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2107 |
|
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2108 |
val ctor_dtor_unfold_thms = |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2109 |
map3 mk_ctor_dtor_unfold_like_thm dtor_inject_thms dtor_ctor_thms dtor_unfold_thms; |
49501 | 2110 |
|
2111 |
val timer = time (timer "ctor definitions & thms"); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2112 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2113 |
val corec_Inl_sum_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2114 |
let |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2115 |
val mor = mor_comp_thm OF [mor_sum_case_thm, mor_unfold_thm]; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2116 |
in |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2117 |
map2 (fn unique => fn unfold_dtor => |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2118 |
trans OF [mor RS unique, unfold_dtor]) unfold_unique_mor_thms unfold_dtor_thms |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2119 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2120 |
|
49501 | 2121 |
fun corec_bind i = Binding.suffix_name ("_" ^ dtor_corecN) (nth bs (i - 1)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2122 |
val corec_name = Binding.name_of o corec_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2123 |
val corec_def_bind = rpair [] o Thm.def_binding o corec_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2124 |
|
51739
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2125 |
val corec_strs = |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2126 |
map3 (fn dtor => fn sum_s => fn mapx => |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2127 |
mk_sum_case |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2128 |
(HOLogic.mk_comp (Term.list_comb (mapx, passive_ids @ corec_Inls), dtor), sum_s)) |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2129 |
dtors corec_ss corec_maps; |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2130 |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2131 |
fun corec_spec i T AT = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2132 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2133 |
val corecT = Library.foldr (op -->) (corec_sTs, AT --> T); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2134 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2135 |
val lhs = Term.list_comb (Free (corec_name i, corecT), corec_ss); |
51739
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2136 |
val rhs = HOLogic.mk_comp (mk_unfold Ts corec_strs i, Inr_const T AT); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2137 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
2138 |
mk_Trueprop_eq (lhs, rhs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2139 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2140 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2141 |
val ((corec_frees, (_, corec_def_frees)), (lthy, lthy_old)) = |
49311 | 2142 |
lthy |
2143 |
|> fold_map3 (fn i => fn T => fn AT => |
|
2144 |
Specification.definition |
|
2145 |
(SOME (corec_bind i, NONE, NoSyn), (corec_def_bind i, corec_spec i T AT))) |
|
2146 |
ks Ts activeAs |
|
2147 |
|>> apsnd split_list o split_list |
|
2148 |
||> `Local_Theory.restore; |
|
2149 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2150 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
49176 | 2151 |
val corecs = map (Morphism.term phi) corec_frees; |
2152 |
val corec_names = map (fst o dest_Const) corecs; |
|
2153 |
fun mk_corec ss i = Term.list_comb (Const (nth corec_names (i - 1), Library.foldr (op -->) |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2154 |
(map fastype_of ss, domain_type (fastype_of (nth ss (i - 1))) --> nth Ts (i - 1))), ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2155 |
val corec_defs = map (Morphism.thm phi) corec_def_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2156 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2157 |
val sum_cases = |
49255
2ecc533d6697
use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents:
49231
diff
changeset
|
2158 |
map2 (fn T => fn i => mk_sum_case (HOLogic.id_const T, mk_corec corec_ss i)) Ts ks; |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2159 |
val dtor_corec_thms = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2160 |
let |
49501 | 2161 |
fun mk_goal i corec_s corec_map dtor z = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2162 |
let |
49501 | 2163 |
val lhs = dtor $ (mk_corec corec_ss i $ z); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2164 |
val rhs = Term.list_comb (corec_map, passive_ids @ sum_cases) $ (corec_s $ z); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2165 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
2166 |
fold_rev Logic.all (z :: corec_ss) (mk_Trueprop_eq (lhs, rhs)) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2167 |
end; |
49501 | 2168 |
val goals = map5 mk_goal ks corec_ss corec_maps_rev dtors zs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2169 |
in |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2170 |
map3 (fn goal => fn unfold => fn map_cong0 => |
51551 | 2171 |
Goal.prove_sorry lthy [] [] goal |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2172 |
(mk_corec_tac m corec_defs unfold map_cong0 corec_Inl_sum_thms) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2173 |
|> Thm.close_derivation) |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2174 |
goals dtor_unfold_thms map_cong0s |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2175 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2176 |
|
51739
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2177 |
val corec_unique_mor_thm = |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2178 |
let |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2179 |
val id_fs = map2 (fn T => fn f => mk_sum_case (HOLogic.id_const T, f)) Ts unfold_fs; |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2180 |
val prem = HOLogic.mk_Trueprop (mk_mor corec_UNIVs corec_strs UNIVs dtors id_fs); |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2181 |
fun mk_fun_eq f i = HOLogic.mk_eq (f, mk_corec corec_ss i); |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2182 |
val unique = HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2183 |
(map2 mk_fun_eq unfold_fs ks)); |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2184 |
in |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2185 |
Goal.prove_sorry lthy [] [] |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2186 |
(fold_rev Logic.all (corec_ss @ unfold_fs) (Logic.mk_implies (prem, unique))) |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2187 |
(mk_corec_unique_mor_tac corec_defs corec_Inl_sum_thms unfold_unique_mor_thm) |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2188 |
|> Thm.close_derivation |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2189 |
end; |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2190 |
|
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2191 |
val dtor_corec_unique_thms = |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2192 |
split_conj_thm (split_conj_prems n |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2193 |
(mor_UNIV_thm RS @{thm ssubst[of _ _ "%x. x"]} RS corec_unique_mor_thm) |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2194 |
|> Local_Defs.unfold lthy (@{thms o_sum_case o_id id_o o_assoc sum_case_comp_Inl} @ |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2195 |
map_ids @ sym_map_comps) OF replicate n @{thm arg_cong2[of _ _ _ _ sum_case, OF refl]}); |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
2196 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2197 |
val ctor_dtor_corec_thms = |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2198 |
map3 mk_ctor_dtor_unfold_like_thm dtor_inject_thms dtor_ctor_thms dtor_corec_thms; |
49231 | 2199 |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2200 |
val timer = time (timer "corec definitions & thms"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2201 |
|
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49588
diff
changeset
|
2202 |
(* TODO: Get rid of strong versions (since these can easily be derived from the weak ones). *) |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2203 |
val (dtor_map_coinduct_thm, coinduct_params, dtor_coinduct_thm, |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2204 |
dtor_map_strong_coinduct_thm, dtor_strong_coinduct_thm) = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2205 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2206 |
val zs = Jzs1 @ Jzs2; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2207 |
val frees = phis @ zs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2208 |
|
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49588
diff
changeset
|
2209 |
fun mk_phi strong_eq phi z1 z2 = if strong_eq |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2210 |
then Term.absfree (dest_Free z1) (Term.absfree (dest_Free z2) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2211 |
(HOLogic.mk_disj (phi $ z1 $ z2, HOLogic.mk_eq (z1, z2)))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2212 |
else phi; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2213 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2214 |
fun phi_rels strong_eq = |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2215 |
map3 (fn phi => fn z1 => fn z2 => mk_phi strong_eq phi z1 z2) phis Jzs1 Jzs2; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2216 |
|
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2217 |
val rels = map (Term.subst_atomic_types ((activeAs ~~ Ts) @ (activeBs ~~ Ts))) relsAsBs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2218 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2219 |
fun mk_concl phi z1 z2 = HOLogic.mk_imp (phi $ z1 $ z2, HOLogic.mk_eq (z1, z2)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2220 |
val concl = HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2221 |
(map3 mk_concl phis Jzs1 Jzs2)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2222 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2223 |
fun mk_rel_prem strong_eq phi dtor rel Jz Jz_copy = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2224 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2225 |
val concl = Term.list_comb (rel, map HOLogic.eq_const passiveAs @ phi_rels strong_eq) $ |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2226 |
(dtor $ Jz) $ (dtor $ Jz_copy); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2227 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2228 |
HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2229 |
(list_all_free [Jz, Jz_copy] (HOLogic.mk_imp (phi $ Jz $ Jz_copy, concl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2230 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2231 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2232 |
val rel_prems = map5 (mk_rel_prem false) phis dtors rels Jzs Jzs_copy; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2233 |
val rel_strong_prems = map5 (mk_rel_prem true) phis dtors rels Jzs Jzs_copy; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2234 |
|
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2235 |
val dtor_coinduct_goal = |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2236 |
fold_rev Logic.all frees (Logic.list_implies (rel_prems, concl)); |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2237 |
val coinduct_params = rev (Term.add_tfrees dtor_coinduct_goal []); |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2238 |
|
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2239 |
val dtor_coinduct = |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2240 |
Goal.prove_sorry lthy [] [] dtor_coinduct_goal |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2241 |
(K (mk_dtor_coinduct_tac m raw_coind_thm bis_rel_thm rel_congs)) |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2242 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2243 |
|
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49588
diff
changeset
|
2244 |
fun mk_prem strong_eq phi dtor map_nth sets Jz Jz_copy FJz = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2245 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2246 |
val xs = [Jz, Jz_copy]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2247 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2248 |
fun mk_map_conjunct nths x = |
49501 | 2249 |
HOLogic.mk_eq (Term.list_comb (map_nth, passive_ids @ nths) $ FJz, dtor $ x); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2250 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2251 |
fun mk_set_conjunct set phi z1 z2 = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2252 |
list_all_free [z1, z2] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2253 |
(HOLogic.mk_imp (HOLogic.mk_mem (HOLogic.mk_prod (z1, z2), set $ FJz), |
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49588
diff
changeset
|
2254 |
mk_phi strong_eq phi z1 z2 $ z1 $ z2)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2255 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2256 |
val concl = list_exists_free [FJz] (HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2257 |
(Library.foldr1 HOLogic.mk_conj (map2 mk_map_conjunct [fstsTs, sndsTs] xs), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2258 |
Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2259 |
(map4 mk_set_conjunct (drop m sets) phis Jzs1 Jzs2))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2260 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2261 |
fold_rev Logic.all xs (Logic.mk_implies |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2262 |
(HOLogic.mk_Trueprop (Term.list_comb (phi, xs)), HOLogic.mk_Trueprop concl)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2263 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2264 |
|
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49588
diff
changeset
|
2265 |
fun mk_prems strong_eq = |
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49588
diff
changeset
|
2266 |
map7 (mk_prem strong_eq) phis dtors map_FT_nths prodFT_setss Jzs Jzs_copy FJzs; |
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49588
diff
changeset
|
2267 |
|
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49588
diff
changeset
|
2268 |
val prems = mk_prems false; |
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49588
diff
changeset
|
2269 |
val strong_prems = mk_prems true; |
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49588
diff
changeset
|
2270 |
|
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49588
diff
changeset
|
2271 |
val dtor_map_coinduct_goal = fold_rev Logic.all frees (Logic.list_implies (prems, concl)); |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2272 |
val dtor_map_coinduct = |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2273 |
Goal.prove_sorry lthy [] [] dtor_map_coinduct_goal |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2274 |
(K (mk_dtor_map_coinduct_tac m ks raw_coind_thm bis_def)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2275 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2276 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2277 |
val cTs = map (SOME o certifyT lthy o TFree) coinduct_params; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2278 |
val cts = map3 (SOME o certify lthy ooo mk_phi true) phis Jzs1 Jzs2; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2279 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2280 |
val dtor_strong_coinduct = singleton (Proof_Context.export names_lthy lthy) |
51551 | 2281 |
(Goal.prove_sorry lthy [] [] |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2282 |
(fold_rev Logic.all zs (Logic.list_implies (rel_strong_prems, concl))) |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2283 |
(K (mk_dtor_strong_coinduct_tac lthy m cTs cts dtor_coinduct rel_monos rel_eqs))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2284 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2285 |
|
49581
4e5bd3883429
renamed "dtor_coinduct" etc. to "dtor_map_coinduct"
blanchet
parents:
49580
diff
changeset
|
2286 |
val dtor_map_strong_coinduct = singleton (Proof_Context.export names_lthy lthy) |
51551 | 2287 |
(Goal.prove_sorry lthy [] [] |
49591
91b228e26348
generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents:
49588
diff
changeset
|
2288 |
(fold_rev Logic.all zs (Logic.list_implies (strong_prems, concl))) |
49581
4e5bd3883429
renamed "dtor_coinduct" etc. to "dtor_map_coinduct"
blanchet
parents:
49580
diff
changeset
|
2289 |
(K (mk_dtor_map_strong_coinduct_tac ks cTs cts dtor_map_coinduct bis_def |
51447 | 2290 |
(tcoalg_thm RS bis_Id_on_thm)))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2291 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2292 |
in |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2293 |
(dtor_map_coinduct, rev (Term.add_tfrees dtor_map_coinduct_goal []), |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2294 |
dtor_coinduct, dtor_map_strong_coinduct, dtor_strong_coinduct) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2295 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2296 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2297 |
val timer = time (timer "coinduction"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2298 |
|
51925 | 2299 |
fun mk_dtor_map_DEADID_thm dtor_inject map_id = |
2300 |
trans OF [iffD2 OF [dtor_inject, id_apply], map_id RS sym]; |
|
2301 |
||
2302 |
fun mk_dtor_Jrel_DEADID_thm dtor_inject bnf = |
|
51917
f964a9887713
store proper theorems even for fixed points that have no passive live variables
traytel
parents:
51894
diff
changeset
|
2303 |
trans OF [rel_eq_of_bnf bnf RS @{thm predicate2_eqD}, dtor_inject] RS sym; |
f964a9887713
store proper theorems even for fixed points that have no passive live variables
traytel
parents:
51894
diff
changeset
|
2304 |
|
51925 | 2305 |
val JphiTs = map2 mk_pred2T passiveAs passiveBs; |
2306 |
val prodTsTs' = map2 (curry HOLogic.mk_prodT) Ts Ts'; |
|
2307 |
val fstsTsTs' = map fst_const prodTsTs'; |
|
2308 |
val sndsTsTs' = map snd_const prodTsTs'; |
|
2309 |
val activeJphiTs = map2 mk_pred2T Ts Ts'; |
|
2310 |
val ((Jphis, activeJphis), names_lthy) = names_lthy |
|
2311 |
|> mk_Frees "R" JphiTs |
|
2312 |
||>> mk_Frees "JR" activeJphiTs; |
|
2313 |
val rels = map2 (fn Ds => mk_rel_of_bnf Ds (passiveAs @ Ts) (passiveBs @ Ts')) Dss bnfs; |
|
2314 |
val in_rels = map in_rel_of_bnf bnfs; |
|
2315 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2316 |
(*register new codatatypes as BNFs*) |
51925 | 2317 |
val (timer, Jbnfs, folded_dtor_map_thms, folded_dtor_set_thmss', dtor_set_induct_thms, |
2318 |
dtor_Jrel_thms, lthy) = |
|
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
2319 |
if m = 0 then |
51925 | 2320 |
(timer, replicate n DEADID_bnf, map2 mk_dtor_map_DEADID_thm dtor_inject_thms map_id's, |
2321 |
replicate n [], [], map2 mk_dtor_Jrel_DEADID_thm dtor_inject_thms bnfs, lthy) |
|
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
2322 |
else let |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2323 |
val fTs = map2 (curry op -->) passiveAs passiveBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2324 |
val gTs = map2 (curry op -->) passiveBs passiveCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2325 |
val f1Ts = map2 (curry op -->) passiveAs passiveYs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2326 |
val f2Ts = map2 (curry op -->) passiveBs passiveYs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2327 |
val p1Ts = map2 (curry op -->) passiveXs passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2328 |
val p2Ts = map2 (curry op -->) passiveXs passiveBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2329 |
val pTs = map2 (curry op -->) passiveXs passiveCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2330 |
val uTs = map2 (curry op -->) Ts Ts'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2331 |
val B1Ts = map HOLogic.mk_setT passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2332 |
val B2Ts = map HOLogic.mk_setT passiveBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2333 |
val AXTs = map HOLogic.mk_setT passiveXs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2334 |
val XTs = mk_Ts passiveXs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2335 |
val YTs = mk_Ts passiveYs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2336 |
|
51925 | 2337 |
val ((((((((((((((((((fs, fs'), fs_copy), gs), us), |
2338 |
(Jys, Jys')), (Jys_copy, Jys'_copy)), dtor_set_induct_phiss), |
|
49308
6190b701e4f4
reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents:
49277
diff
changeset
|
2339 |
B1s), B2s), AXs), f1s), f2s), p1s), p2s), ps), (ys, ys')), (ys_copy, ys'_copy)), |
49104 | 2340 |
names_lthy) = names_lthy |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2341 |
|> mk_Frees' "f" fTs |
49308
6190b701e4f4
reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents:
49277
diff
changeset
|
2342 |
||>> mk_Frees "f" fTs |
6190b701e4f4
reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents:
49277
diff
changeset
|
2343 |
||>> mk_Frees "g" gTs |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2344 |
||>> mk_Frees "u" uTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2345 |
||>> mk_Frees' "b" Ts' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2346 |
||>> mk_Frees' "b" Ts' |
49592
b859a02c1150
fixed "rels" + split them into injectivity and distinctness
blanchet
parents:
49591
diff
changeset
|
2347 |
||>> mk_Freess "P" (map (fn A => map (mk_pred2T A) Ts) passiveAs) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2348 |
||>> mk_Frees "B1" B1Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2349 |
||>> mk_Frees "B2" B2Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2350 |
||>> mk_Frees "A" AXTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2351 |
||>> mk_Frees "f1" f1Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2352 |
||>> mk_Frees "f2" f2Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2353 |
||>> mk_Frees "p1" p1Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2354 |
||>> mk_Frees "p2" p2Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2355 |
||>> mk_Frees "p" pTs |
49104 | 2356 |
||>> mk_Frees' "y" passiveAs |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2357 |
||>> mk_Frees' "y" passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2358 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2359 |
val map_FTFT's = map2 (fn Ds => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2360 |
mk_map_of_bnf Ds (passiveAs @ Ts) (passiveBs @ Ts')) Dss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2361 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2362 |
fun mk_maps ATs BTs Ts mk_T = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2363 |
map2 (fn Ds => mk_map_of_bnf Ds (ATs @ Ts) (BTs @ map mk_T Ts)) Dss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2364 |
fun mk_Fmap mk_const fs Ts Fmap = Term.list_comb (Fmap, fs @ map mk_const Ts); |
49501 | 2365 |
fun mk_map mk_const mk_T Ts fs Ts' dtors mk_maps = |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2366 |
mk_unfold Ts' (map2 (fn dtor => fn Fmap => |
49501 | 2367 |
HOLogic.mk_comp (mk_Fmap mk_const fs Ts Fmap, dtor)) dtors (mk_maps Ts mk_T)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2368 |
val mk_map_id = mk_map HOLogic.id_const I; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2369 |
val mk_mapsAB = mk_maps passiveAs passiveBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2370 |
val mk_mapsBC = mk_maps passiveBs passiveCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2371 |
val mk_mapsAC = mk_maps passiveAs passiveCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2372 |
val mk_mapsAY = mk_maps passiveAs passiveYs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2373 |
val mk_mapsBY = mk_maps passiveBs passiveYs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2374 |
val mk_mapsXA = mk_maps passiveXs passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2375 |
val mk_mapsXB = mk_maps passiveXs passiveBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2376 |
val mk_mapsXC = mk_maps passiveXs passiveCs; |
49501 | 2377 |
val fs_maps = map (mk_map_id Ts fs Ts' dtors mk_mapsAB) ks; |
2378 |
val fs_copy_maps = map (mk_map_id Ts fs_copy Ts' dtors mk_mapsAB) ks; |
|
2379 |
val gs_maps = map (mk_map_id Ts' gs Ts'' dtor's mk_mapsBC) ks; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2380 |
val fgs_maps = |
49501 | 2381 |
map (mk_map_id Ts (map2 (curry HOLogic.mk_comp) gs fs) Ts'' dtors mk_mapsAC) ks; |
2382 |
val Xdtors = mk_dtors passiveXs; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2383 |
val UNIV's = map HOLogic.mk_UNIV Ts'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2384 |
val CUNIVs = map HOLogic.mk_UNIV passiveCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2385 |
val UNIV''s = map HOLogic.mk_UNIV Ts''; |
49501 | 2386 |
val dtor''s = mk_dtors passiveCs; |
2387 |
val f1s_maps = map (mk_map_id Ts f1s YTs dtors mk_mapsAY) ks; |
|
2388 |
val f2s_maps = map (mk_map_id Ts' f2s YTs dtor's mk_mapsBY) ks; |
|
2389 |
val pid_maps = map (mk_map_id XTs ps Ts'' Xdtors mk_mapsXC) ks; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2390 |
val pfst_Fmaps = |
51925 | 2391 |
map (mk_Fmap fst_const p1s prodTsTs') (mk_mapsXA prodTsTs' (fst o HOLogic.dest_prodT)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2392 |
val psnd_Fmaps = |
51925 | 2393 |
map (mk_Fmap snd_const p2s prodTsTs') (mk_mapsXB prodTsTs' (snd o HOLogic.dest_prodT)); |
2394 |
val p1id_Fmaps = map (mk_Fmap HOLogic.id_const p1s prodTsTs') (mk_mapsXA prodTsTs' I); |
|
2395 |
val p2id_Fmaps = map (mk_Fmap HOLogic.id_const p2s prodTsTs') (mk_mapsXB prodTsTs' I); |
|
2396 |
val pid_Fmaps = map (mk_Fmap HOLogic.id_const ps prodTsTs') (mk_mapsXC prodTsTs' I); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2397 |
|
49541 | 2398 |
val (dtor_map_thms, map_thms) = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2399 |
let |
49501 | 2400 |
fun mk_goal fs_map map dtor dtor' = fold_rev Logic.all fs |
2401 |
(mk_Trueprop_eq (HOLogic.mk_comp (dtor', fs_map), |
|
2402 |
HOLogic.mk_comp (Term.list_comb (map, fs @ fs_maps), dtor))); |
|
2403 |
val goals = map4 mk_goal fs_maps map_FTFT's dtors dtor's; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2404 |
val cTs = map (SOME o certifyT lthy) FTs'; |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2405 |
val maps = |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2406 |
map5 (fn goal => fn cT => fn unfold => fn map_comp' => fn map_cong0 => |
51551 | 2407 |
Goal.prove_sorry lthy [] [] goal |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2408 |
(K (mk_map_tac m n cT unfold map_comp' map_cong0)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2409 |
|> Thm.close_derivation) |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2410 |
goals cTs dtor_unfold_thms map_comp's map_cong0s; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2411 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2412 |
map_split (fn thm => (thm RS @{thm pointfreeE}, thm)) maps |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2413 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2414 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2415 |
val map_comp_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2416 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2417 |
val goal = fold_rev Logic.all (fs @ gs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2418 |
(HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2419 |
(map3 (fn fmap => fn gmap => fn fgmap => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2420 |
HOLogic.mk_eq (HOLogic.mk_comp (gmap, fmap), fgmap)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2421 |
fs_maps gs_maps fgs_maps))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2422 |
in |
51551 | 2423 |
split_conj_thm (Goal.prove_sorry lthy [] [] goal |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2424 |
(K (mk_map_comp_tac m n map_thms map_comps map_cong0s dtor_unfold_unique_thm)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2425 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2426 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2427 |
|
49543
53b3c532a082
renamed low-level "map_unique" to have "ctor" or "dtor" in the name
blanchet
parents:
49542
diff
changeset
|
2428 |
val dtor_map_unique_thm = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2429 |
let |
49501 | 2430 |
fun mk_prem u map dtor dtor' = |
2431 |
mk_Trueprop_eq (HOLogic.mk_comp (dtor', u), |
|
2432 |
HOLogic.mk_comp (Term.list_comb (map, fs @ us), dtor)); |
|
2433 |
val prems = map4 mk_prem us map_FTFT's dtors dtor's; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2434 |
val goal = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2435 |
HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2436 |
(map2 (curry HOLogic.mk_eq) us fs_maps)); |
49308
6190b701e4f4
reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents:
49277
diff
changeset
|
2437 |
in |
51551 | 2438 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2439 |
(fold_rev Logic.all (us @ fs) (Logic.list_implies (prems, goal))) |
49543
53b3c532a082
renamed low-level "map_unique" to have "ctor" or "dtor" in the name
blanchet
parents:
49542
diff
changeset
|
2440 |
(mk_dtor_map_unique_tac dtor_unfold_unique_thm map_comps) |
49308
6190b701e4f4
reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents:
49277
diff
changeset
|
2441 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2442 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2443 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2444 |
val timer = time (timer "map functions for the new codatatypes"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2445 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2446 |
val bd = mk_ccexp sbd sbd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2447 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2448 |
val timer = time (timer "bounds for the new codatatypes"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2449 |
|
49501 | 2450 |
val setss_by_bnf = map (fn i => map2 (mk_hset dtors i) ls passiveAs) ks; |
2451 |
val setss_by_bnf' = map (fn i => map2 (mk_hset dtor's i) ls passiveBs) ks; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2452 |
val setss_by_range = transpose setss_by_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2453 |
|
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
2454 |
val dtor_set_thmss = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2455 |
let |
49501 | 2456 |
fun mk_simp_goal relate pas_set act_sets sets dtor z set = |
2457 |
relate (set $ z, mk_union (pas_set $ (dtor $ z), |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2458 |
Library.foldl1 mk_union |
49501 | 2459 |
(map2 (fn X => mk_UNION (X $ (dtor $ z))) act_sets sets))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2460 |
fun mk_goals eq = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2461 |
map2 (fn i => fn sets => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2462 |
map4 (fn Fsets => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2463 |
mk_simp_goal eq (nth Fsets (i - 1)) (drop m Fsets) sets) |
49501 | 2464 |
FTs_setss dtors Jzs sets) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2465 |
ls setss_by_range; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2466 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2467 |
val le_goals = map |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2468 |
(fold_rev Logic.all Jzs o HOLogic.mk_Trueprop o Library.foldr1 HOLogic.mk_conj) |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2469 |
(mk_goals (uncurry mk_leq)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2470 |
val set_le_thmss = map split_conj_thm |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2471 |
(map4 (fn goal => fn hset_minimal => fn set_hsets => fn set_hset_hsetss => |
51551 | 2472 |
Goal.prove_sorry lthy [] [] goal |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2473 |
(K (mk_set_le_tac n hset_minimal set_hsets set_hset_hsetss)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2474 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2475 |
le_goals hset_minimal_thms set_hset_thmss' set_hset_hset_thmsss'); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2476 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2477 |
val simp_goalss = map (map2 (fn z => fn goal => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2478 |
Logic.all z (HOLogic.mk_Trueprop goal)) Jzs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2479 |
(mk_goals HOLogic.mk_eq); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2480 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2481 |
map4 (map4 (fn goal => fn set_le => fn set_incl_hset => fn set_hset_incl_hsets => |
51551 | 2482 |
Goal.prove_sorry lthy [] [] goal |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
2483 |
(K (mk_dtor_set_tac n set_le set_incl_hset set_hset_incl_hsets)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2484 |
|> Thm.close_derivation)) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2485 |
simp_goalss set_le_thmss set_incl_hset_thmss' set_hset_incl_hset_thmsss' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2486 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2487 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2488 |
val timer = time (timer "set functions for the new codatatypes"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2489 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2490 |
val colss = map2 (fn j => fn T => |
49501 | 2491 |
map (fn i => mk_hset_rec dtors nat i j T) ks) ls passiveAs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2492 |
val colss' = map2 (fn j => fn T => |
49501 | 2493 |
map (fn i => mk_hset_rec dtor's nat i j T) ks) ls passiveBs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2494 |
val Xcolss = map2 (fn j => fn T => |
49501 | 2495 |
map (fn i => mk_hset_rec Xdtors nat i j T) ks) ls passiveXs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2496 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2497 |
val col_natural_thmss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2498 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2499 |
fun mk_col_natural f map z col col' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2500 |
HOLogic.mk_eq (mk_image f $ (col $ z), col' $ (map $ z)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2501 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2502 |
fun mk_goal f cols cols' = list_all_free Jzs (Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2503 |
(map4 (mk_col_natural f) fs_maps Jzs cols cols')); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2504 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2505 |
val goals = map3 mk_goal fs colss colss'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2506 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2507 |
val ctss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2508 |
map (fn phi => map (SOME o certify lthy) [Term.absfree nat' phi, nat]) goals; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2509 |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2510 |
val thms = |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2511 |
map4 (fn goal => fn cts => fn rec_0s => fn rec_Sucs => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2512 |
singleton (Proof_Context.export names_lthy lthy) |
51551 | 2513 |
(Goal.prove_sorry lthy [] [] (HOLogic.mk_Trueprop goal) |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
2514 |
(mk_col_natural_tac cts rec_0s rec_Sucs dtor_map_thms set_map'ss)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2515 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2516 |
goals ctss hset_rec_0ss' hset_rec_Sucss'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2517 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2518 |
map (split_conj_thm o mk_specN n) thms |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2519 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2520 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2521 |
val col_bd_thmss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2522 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2523 |
fun mk_col_bd z col = mk_ordLeq (mk_card_of (col $ z)) sbd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2524 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2525 |
fun mk_goal cols = list_all_free Jzs (Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2526 |
(map2 mk_col_bd Jzs cols)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2527 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2528 |
val goals = map mk_goal colss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2529 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2530 |
val ctss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2531 |
map (fn phi => map (SOME o certify lthy) [Term.absfree nat' phi, nat]) goals; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2532 |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2533 |
val thms = |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2534 |
map5 (fn j => fn goal => fn cts => fn rec_0s => fn rec_Sucs => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2535 |
singleton (Proof_Context.export names_lthy lthy) |
51551 | 2536 |
(Goal.prove_sorry lthy [] [] (HOLogic.mk_Trueprop goal) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2537 |
(K (mk_col_bd_tac m j cts rec_0s rec_Sucs |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2538 |
sbd_Card_order sbd_Cinfinite set_sbdss))) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2539 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2540 |
ls goals ctss hset_rec_0ss' hset_rec_Sucss'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2541 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2542 |
map (split_conj_thm o mk_specN n) thms |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2543 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2544 |
|
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2545 |
val map_cong0_thms = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2546 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2547 |
val cTs = map (SOME o certifyT lthy o |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2548 |
Term.typ_subst_atomic (passiveAs ~~ passiveBs) o TFree) coinduct_params; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2549 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2550 |
fun mk_prem z set f g y y' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2551 |
mk_Ball (set $ z) (Term.absfree y' (HOLogic.mk_eq (f $ y, g $ y))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2552 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2553 |
fun mk_prems sets z = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2554 |
Library.foldr1 HOLogic.mk_conj (map5 (mk_prem z) sets fs fs_copy ys ys') |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2555 |
|
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2556 |
fun mk_map_cong0 sets z fmap gmap = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2557 |
HOLogic.mk_imp (mk_prems sets z, HOLogic.mk_eq (fmap $ z, gmap $ z)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2558 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2559 |
fun mk_coind_body sets (x, T) z fmap gmap y y_copy = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2560 |
HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2561 |
(HOLogic.mk_mem (z, HOLogic.mk_Collect (x, T, mk_prems sets z)), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2562 |
HOLogic.mk_conj (HOLogic.mk_eq (y, fmap $ z), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2563 |
HOLogic.mk_eq (y_copy, gmap $ z))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2564 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2565 |
fun mk_cphi sets (z' as (x, T)) z fmap gmap y' y y'_copy y_copy = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2566 |
HOLogic.mk_exists (x, T, mk_coind_body sets z' z fmap gmap y y_copy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2567 |
|> Term.absfree y'_copy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2568 |
|> Term.absfree y' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2569 |
|> certify lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2570 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2571 |
val cphis = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2572 |
map9 mk_cphi setss_by_bnf Jzs' Jzs fs_maps fs_copy_maps Jys' Jys Jys'_copy Jys_copy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2573 |
|
49581
4e5bd3883429
renamed "dtor_coinduct" etc. to "dtor_map_coinduct"
blanchet
parents:
49580
diff
changeset
|
2574 |
val coinduct = Drule.instantiate' cTs (map SOME cphis) dtor_map_coinduct_thm; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2575 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2576 |
val goal = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2577 |
HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2578 |
(map4 mk_map_cong0 setss_by_bnf Jzs fs_maps fs_copy_maps)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2579 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2580 |
val thm = singleton (Proof_Context.export names_lthy lthy) |
51551 | 2581 |
(Goal.prove_sorry lthy [] [] goal |
51798 | 2582 |
(K (mk_mcong_tac lthy m (rtac coinduct) map_comp's dtor_map_thms map_cong0s set_map'ss |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2583 |
set_hset_thmss set_hset_hset_thmsss))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2584 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2585 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2586 |
split_conj_thm thm |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2587 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2588 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2589 |
val B1_ins = map2 (mk_in B1s) setss_by_bnf Ts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2590 |
val B2_ins = map2 (mk_in B2s) setss_by_bnf' Ts'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2591 |
val thePulls = map4 mk_thePull B1_ins B2_ins f1s_maps f2s_maps; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2592 |
val thePullTs = passiveXs @ map2 (curry HOLogic.mk_prodT) Ts Ts'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2593 |
val thePull_ins = map2 (mk_in (AXs @ thePulls)) (mk_setss thePullTs) (mk_FTs thePullTs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2594 |
val pickFs = map5 mk_pickWP thePull_ins pfst_Fmaps psnd_Fmaps |
49501 | 2595 |
(map2 (curry (op $)) dtors Jzs) (map2 (curry (op $)) dtor's Jz's); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2596 |
val pickF_ss = map3 (fn pickF => fn z => fn z' => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2597 |
HOLogic.mk_split (Term.absfree z (Term.absfree z' pickF))) pickFs Jzs' Jz's'; |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2598 |
val picks = map (mk_unfold XTs pickF_ss) ks; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2599 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2600 |
val wpull_prem = HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2601 |
(map8 mk_wpull AXs B1s B2s f1s f2s (replicate m NONE) p1s p2s)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2602 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2603 |
val map_eq_thms = map2 (fn simp => fn diff => box_equals OF [diff RS iffD2, simp, simp]) |
49541 | 2604 |
dtor_map_thms dtor_inject_thms; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2605 |
val map_wpull_thms = map (fn thm => thm OF |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2606 |
(replicate m asm_rl @ replicate n @{thm wpull_thePull})) map_wpulls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2607 |
val pickWP_assms_tacs = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2608 |
map3 mk_pickWP_assms_tac set_incl_hset_thmss set_incl_hin_thmss map_eq_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2609 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2610 |
val coalg_thePull_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2611 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2612 |
val coalg = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2613 |
(mk_coalg CUNIVs thePulls (map2 (curry HOLogic.mk_comp) pid_Fmaps pickF_ss)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2614 |
val goal = fold_rev Logic.all (AXs @ B1s @ B2s @ f1s @ f2s @ p1s @ p2s @ ps) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2615 |
(Logic.mk_implies (wpull_prem, coalg)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2616 |
in |
51551 | 2617 |
Goal.prove_sorry lthy [] [] goal (mk_coalg_thePull_tac m coalg_def map_wpull_thms |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
2618 |
set_map'ss pickWP_assms_tacs) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2619 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2620 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2621 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2622 |
val (mor_thePull_fst_thm, mor_thePull_snd_thm, mor_thePull_pick_thm) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2623 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2624 |
val mor_fst = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2625 |
(mk_mor thePulls (map2 (curry HOLogic.mk_comp) p1id_Fmaps pickF_ss) |
49501 | 2626 |
UNIVs dtors fstsTsTs'); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2627 |
val mor_snd = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2628 |
(mk_mor thePulls (map2 (curry HOLogic.mk_comp) p2id_Fmaps pickF_ss) |
49501 | 2629 |
UNIV's dtor's sndsTsTs'); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2630 |
val mor_pick = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2631 |
(mk_mor thePulls (map2 (curry HOLogic.mk_comp) pid_Fmaps pickF_ss) |
49501 | 2632 |
UNIV''s dtor''s (map2 (curry HOLogic.mk_comp) pid_maps picks)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2633 |
|
49458 | 2634 |
val fst_goal = fold_rev Logic.all (AXs @ B1s @ B2s @ f1s @ f2s @ p1s @ p2s) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2635 |
(Logic.mk_implies (wpull_prem, mor_fst)); |
49458 | 2636 |
val snd_goal = fold_rev Logic.all (AXs @ B1s @ B2s @ f1s @ f2s @ p1s @ p2s) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2637 |
(Logic.mk_implies (wpull_prem, mor_snd)); |
49458 | 2638 |
val pick_goal = fold_rev Logic.all (AXs @ B1s @ B2s @ f1s @ f2s @ p1s @ p2s @ ps) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2639 |
(Logic.mk_implies (wpull_prem, mor_pick)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2640 |
in |
51551 | 2641 |
(Goal.prove_sorry lthy [] [] fst_goal (mk_mor_thePull_fst_tac m mor_def map_wpull_thms |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2642 |
map_comp's pickWP_assms_tacs) |> Thm.close_derivation, |
51551 | 2643 |
Goal.prove_sorry lthy [] [] snd_goal (mk_mor_thePull_snd_tac m mor_def map_wpull_thms |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2644 |
map_comp's pickWP_assms_tacs) |> Thm.close_derivation, |
51551 | 2645 |
Goal.prove_sorry lthy [] [] pick_goal (mk_mor_thePull_pick_tac mor_def dtor_unfold_thms |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2646 |
map_comp's) |> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2647 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2648 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2649 |
val pick_col_thmss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2650 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2651 |
fun mk_conjunct AX Jpair pick thePull col = |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2652 |
HOLogic.mk_imp (HOLogic.mk_mem (Jpair, thePull), mk_leq (col $ (pick $ Jpair)) AX); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2653 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2654 |
fun mk_concl AX cols = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2655 |
list_all_free Jpairs (Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2656 |
(map4 (mk_conjunct AX) Jpairs picks thePulls cols)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2657 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2658 |
val concls = map2 mk_concl AXs Xcolss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2659 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2660 |
val ctss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2661 |
map (fn phi => map (SOME o certify lthy) [Term.absfree nat' phi, nat]) concls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2662 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2663 |
val goals = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2664 |
map (fn concl => Logic.mk_implies (wpull_prem, HOLogic.mk_Trueprop concl)) concls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2665 |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2666 |
val thms = |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2667 |
map5 (fn j => fn goal => fn cts => fn rec_0s => fn rec_Sucs => |
51551 | 2668 |
singleton (Proof_Context.export names_lthy lthy) (Goal.prove_sorry lthy [] [] goal |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
2669 |
(mk_pick_col_tac m j cts rec_0s rec_Sucs dtor_unfold_thms set_map'ss |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2670 |
map_wpull_thms pickWP_assms_tacs)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2671 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2672 |
ls goals ctss hset_rec_0ss' hset_rec_Sucss'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2673 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2674 |
map (map (fn thm => thm RS mp) o split_conj_thm o mk_specN n) thms |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2675 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2676 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2677 |
val timer = time (timer "helpers for BNF properties"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2678 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2679 |
val map_id_tacs = |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2680 |
map2 (K oo mk_map_id_tac map_thms) dtor_unfold_unique_thms unfold_dtor_thms; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2681 |
val map_comp_tacs = map (fn thm => K (rtac (thm RS sym) 1)) map_comp_thms; |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2682 |
val map_cong0_tacs = map (mk_map_cong0_tac m) map_cong0_thms; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2683 |
val set_nat_tacss = |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
2684 |
map2 (map2 (K oo mk_set_map_tac)) hset_defss (transpose col_natural_thmss); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2685 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2686 |
val bd_co_tacs = replicate n (K (mk_bd_card_order_tac sbd_card_order)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2687 |
val bd_cinf_tacs = replicate n (K (mk_bd_cinfinite_tac sbd_Cinfinite)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2688 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2689 |
val set_bd_tacss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2690 |
map2 (map2 (K oo mk_set_bd_tac sbd_Cinfinite)) hset_defss (transpose col_bd_thmss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2691 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2692 |
val in_bd_tacs = map7 (fn i => fn isNode_hsets => fn carT_def => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2693 |
fn card_of_carT => fn mor_image => fn Rep_inverse => fn mor_hsets => |
52090 | 2694 |
(fn {context = ctxt, prems = _} => |
2695 |
mk_in_bd_tac ctxt (nth isNode_hsets (i - 1)) isNode_hsets carT_def |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2696 |
card_of_carT mor_image Rep_inverse mor_hsets |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2697 |
sbd_Cnotzero sbd_Card_order mor_Rep_thm coalgT_thm mor_T_final_thm tcoalg_thm)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2698 |
ks isNode_hset_thmss carT_defs card_of_carT_thms |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2699 |
mor_image'_thms Rep_inverses (transpose mor_hset_thmss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2700 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2701 |
val map_wpull_tacs = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2702 |
map3 (K ooo mk_wpull_tac m coalg_thePull_thm mor_thePull_fst_thm mor_thePull_snd_thm |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2703 |
mor_thePull_pick_thm) unique_mor_thms (transpose pick_col_thmss) hset_defss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2704 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2705 |
val rel_OO_Grp_tacs = replicate n (K (rtac refl 1)); |
49456 | 2706 |
|
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
2707 |
val tacss = map10 zip_axioms map_id_tacs map_comp_tacs map_cong0_tacs set_nat_tacss |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2708 |
bd_co_tacs bd_cinf_tacs set_bd_tacss in_bd_tacs map_wpull_tacs rel_OO_Grp_tacs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2709 |
|
49542
b39354db8629
renamed low-level "set_simps" and "set_induct" to have "ctor" or "dtor" in the name
blanchet
parents:
49541
diff
changeset
|
2710 |
val (hset_dtor_incl_thmss, hset_hset_dtor_incl_thmsss, dtor_hset_induct_thms) = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2711 |
let |
49501 | 2712 |
fun tinst_of dtor = |
2713 |
map (SOME o certify lthy) (dtor :: remove (op =) dtor dtors); |
|
2714 |
fun tinst_of' dtor = case tinst_of dtor of t :: ts => t :: NONE :: ts; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2715 |
val Tinst = map (pairself (certifyT lthy)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2716 |
(map Logic.varifyT_global (deads @ allAs) ~~ (deads @ passiveAs @ Ts)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2717 |
val set_incl_thmss = |
49501 | 2718 |
map2 (fn dtor => map (singleton (Proof_Context.export names_lthy lthy) o |
2719 |
Drule.instantiate' [] (tinst_of' dtor) o |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2720 |
Thm.instantiate (Tinst, []) o Drule.zero_var_indexes)) |
49501 | 2721 |
dtors set_incl_hset_thmss; |
2722 |
||
49668 | 2723 |
val tinst = splice (map (SOME o certify lthy) dtors) (replicate n NONE) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2724 |
val set_minimal_thms = |
49104 | 2725 |
map (Drule.instantiate' [] tinst o Thm.instantiate (Tinst, []) o |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2726 |
Drule.zero_var_indexes) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2727 |
hset_minimal_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2728 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2729 |
val set_set_incl_thmsss = |
49501 | 2730 |
map2 (fn dtor => map (map (singleton (Proof_Context.export names_lthy lthy) o |
2731 |
Drule.instantiate' [] (NONE :: tinst_of' dtor) o |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2732 |
Thm.instantiate (Tinst, []) o Drule.zero_var_indexes))) |
49501 | 2733 |
dtors set_hset_incl_hset_thmsss; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2734 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2735 |
val set_set_incl_thmsss' = transpose (map transpose set_set_incl_thmsss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2736 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2737 |
val incls = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2738 |
maps (map (fn thm => thm RS @{thm subset_Collect_iff})) set_incl_thmss @ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2739 |
@{thms subset_Collect_iff[OF subset_refl]}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2740 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2741 |
fun mk_induct_tinst phis jsets y y' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2742 |
map4 (fn phi => fn jset => fn Jz => fn Jz' => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2743 |
SOME (certify lthy (Term.absfree Jz' (HOLogic.mk_Collect (fst y', snd y', |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2744 |
HOLogic.mk_conj (HOLogic.mk_mem (y, jset $ Jz), phi $ y $ Jz)))))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2745 |
phis jsets Jzs Jzs'; |
49542
b39354db8629
renamed low-level "set_simps" and "set_induct" to have "ctor" or "dtor" in the name
blanchet
parents:
49541
diff
changeset
|
2746 |
val dtor_set_induct_thms = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2747 |
map6 (fn set_minimal => fn set_set_inclss => fn jsets => fn y => fn y' => fn phis => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2748 |
((set_minimal |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2749 |
|> Drule.instantiate' [] (mk_induct_tinst phis jsets y y') |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2750 |
|> unfold_thms lthy incls) OF |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2751 |
(replicate n ballI @ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2752 |
maps (map (fn thm => thm RS @{thm subset_CollectI})) set_set_inclss)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2753 |
|> singleton (Proof_Context.export names_lthy lthy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2754 |
|> rule_by_tactic lthy (ALLGOALS (TRY o etac asm_rl))) |
49542
b39354db8629
renamed low-level "set_simps" and "set_induct" to have "ctor" or "dtor" in the name
blanchet
parents:
49541
diff
changeset
|
2755 |
set_minimal_thms set_set_incl_thmsss' setss_by_range ys ys' dtor_set_induct_phiss |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2756 |
in |
49542
b39354db8629
renamed low-level "set_simps" and "set_induct" to have "ctor" or "dtor" in the name
blanchet
parents:
49541
diff
changeset
|
2757 |
(set_incl_thmss, set_set_incl_thmsss, dtor_set_induct_thms) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2758 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2759 |
|
49104 | 2760 |
fun close_wit I wit = (I, fold_rev Term.absfree (map (nth ys') I) wit); |
2761 |
||
2762 |
val all_unitTs = replicate live HOLogic.unitT; |
|
2763 |
val unitTs = replicate n HOLogic.unitT; |
|
2764 |
val unit_funs = replicate n (Term.absdummy HOLogic.unitT HOLogic.unit); |
|
2765 |
fun mk_map_args I = |
|
2766 |
map (fn i => |
|
2767 |
if member (op =) I i then Term.absdummy HOLogic.unitT (nth ys i) |
|
2768 |
else mk_undefined (HOLogic.unitT --> nth passiveAs i)) |
|
2769 |
(0 upto (m - 1)); |
|
2770 |
||
2771 |
fun mk_nat_wit Ds bnf (I, wit) () = |
|
2772 |
let |
|
2773 |
val passiveI = filter (fn i => i < m) I; |
|
2774 |
val map_args = mk_map_args passiveI; |
|
2775 |
in |
|
2776 |
Term.absdummy HOLogic.unitT (Term.list_comb |
|
2777 |
(mk_map_of_bnf Ds all_unitTs (passiveAs @ unitTs) bnf, map_args @ unit_funs) $ wit) |
|
2778 |
end; |
|
2779 |
||
2780 |
fun mk_dummy_wit Ds bnf I = |
|
2781 |
let |
|
2782 |
val map_args = mk_map_args I; |
|
2783 |
in |
|
2784 |
Term.absdummy HOLogic.unitT (Term.list_comb |
|
2785 |
(mk_map_of_bnf Ds all_unitTs (passiveAs @ unitTs) bnf, map_args @ unit_funs) $ |
|
2786 |
mk_undefined (mk_T_of_bnf Ds all_unitTs bnf)) |
|
2787 |
end; |
|
2788 |
||
2789 |
val nat_witss = |
|
49308
6190b701e4f4
reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents:
49277
diff
changeset
|
2790 |
map2 (fn Ds => fn bnf => mk_wits_of_bnf (replicate (nwits_of_bnf bnf) Ds) |
49104 | 2791 |
(replicate (nwits_of_bnf bnf) (replicate live HOLogic.unitT)) bnf |
2792 |
|> map (fn (I, wit) => |
|
2793 |
(I, Lazy.lazy (mk_nat_wit Ds bnf (I, Term.list_comb (wit, map (K HOLogic.unit) I)))))) |
|
49308
6190b701e4f4
reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents:
49277
diff
changeset
|
2794 |
Dss bnfs; |
49104 | 2795 |
|
2796 |
val nat_wit_thmss = map2 (curry op ~~) nat_witss (map wit_thmss_of_bnf bnfs) |
|
2797 |
||
2798 |
val Iss = map (map fst) nat_witss; |
|
2799 |
||
2800 |
fun filter_wits (I, wit) = |
|
2801 |
let val J = filter (fn i => i < m) I; |
|
2802 |
in (J, (length J < length I, wit)) end; |
|
2803 |
||
2804 |
val wit_treess = map_index (fn (i, Is) => |
|
2805 |
map_index (finish Iss m [i+m] (i+m)) Is) Iss |
|
2806 |
|> map (minimize_wits o map filter_wits o minimize_wits o flat); |
|
2807 |
||
2808 |
val coind_wit_argsss = |
|
2809 |
map (map (tree_to_coind_wits nat_wit_thmss o snd o snd) o filter (fst o snd)) wit_treess; |
|
2810 |
||
2811 |
val nonredundant_coind_wit_argsss = |
|
2812 |
fold (fn i => fn argsss => |
|
2813 |
nth_map (i - 1) (filter_out (fn xs => |
|
2814 |
exists (fn ys => |
|
2815 |
let |
|
2816 |
val xs' = (map (fst o fst) xs, snd (fst (hd xs))); |
|
2817 |
val ys' = (map (fst o fst) ys, snd (fst (hd ys))); |
|
2818 |
in |
|
2819 |
eq_pair (subset (op =)) (eq_set (op =)) (xs', ys') andalso not (fst xs' = fst ys') |
|
2820 |
end) |
|
2821 |
(flat argsss))) |
|
2822 |
argsss) |
|
2823 |
ks coind_wit_argsss; |
|
2824 |
||
2825 |
fun prepare_args args = |
|
2826 |
let |
|
2827 |
val I = snd (fst (hd args)); |
|
2828 |
val (dummys, args') = |
|
2829 |
map_split (fn i => |
|
2830 |
(case find_first (fn arg => fst (fst arg) = i - 1) args of |
|
2831 |
SOME (_, ((_, wit), thms)) => (NONE, (Lazy.force wit, thms)) |
|
2832 |
| NONE => |
|
2833 |
(SOME (i - 1), (mk_dummy_wit (nth Dss (i - 1)) (nth bnfs (i - 1)) I, [])))) |
|
2834 |
ks; |
|
2835 |
in |
|
2836 |
((I, dummys), apsnd flat (split_list args')) |
|
2837 |
end; |
|
2838 |
||
2839 |
fun mk_coind_wits ((I, dummys), (args, thms)) = |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2840 |
((I, dummys), (map (fn i => mk_unfold Ts args i $ HOLogic.unit) ks, thms)); |
49104 | 2841 |
|
2842 |
val coind_witss = |
|
2843 |
maps (map (mk_coind_wits o prepare_args)) nonredundant_coind_wit_argsss; |
|
2844 |
||
2845 |
fun mk_coind_wit_thms ((I, dummys), (wits, wit_thms)) = |
|
2846 |
let |
|
2847 |
fun mk_goal sets y y_copy y'_copy j = |
|
2848 |
let |
|
2849 |
fun mk_conjunct set z dummy wit = |
|
2850 |
mk_Ball (set $ z) (Term.absfree y'_copy |
|
2851 |
(if dummy = NONE orelse member (op =) I (j - 1) then |
|
2852 |
HOLogic.mk_imp (HOLogic.mk_eq (z, wit), |
|
2853 |
if member (op =) I (j - 1) then HOLogic.mk_eq (y_copy, y) |
|
2854 |
else @{term False}) |
|
2855 |
else @{term True})); |
|
2856 |
in |
|
2857 |
fold_rev Logic.all (map (nth ys) I @ Jzs) (HOLogic.mk_Trueprop |
|
2858 |
(Library.foldr1 HOLogic.mk_conj (map4 mk_conjunct sets Jzs dummys wits))) |
|
2859 |
end; |
|
2860 |
val goals = map5 mk_goal setss_by_range ys ys_copy ys'_copy ls; |
|
2861 |
in |
|
2862 |
map2 (fn goal => fn induct => |
|
51551 | 2863 |
Goal.prove_sorry lthy [] [] goal |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
2864 |
(mk_coind_wit_tac induct dtor_unfold_thms (flat set_map'ss) wit_thms) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2865 |
|> Thm.close_derivation) |
49542
b39354db8629
renamed low-level "set_simps" and "set_induct" to have "ctor" or "dtor" in the name
blanchet
parents:
49541
diff
changeset
|
2866 |
goals dtor_hset_induct_thms |
49104 | 2867 |
|> map split_conj_thm |
2868 |
|> transpose |
|
2869 |
|> map (map_filter (try (fn thm => thm RS bspec RS mp))) |
|
2870 |
|> curry op ~~ (map_index Library.I (map (close_wit I) wits)) |
|
2871 |
|> filter (fn (_, thms) => length thms = m) |
|
2872 |
end; |
|
2873 |
||
2874 |
val coind_wit_thms = maps mk_coind_wit_thms coind_witss; |
|
2875 |
||
2876 |
val witss = map2 (fn Ds => fn bnf => mk_wits_of_bnf |
|
2877 |
(replicate (nwits_of_bnf bnf) Ds) |
|
2878 |
(replicate (nwits_of_bnf bnf) (passiveAs @ Ts)) bnf) Dss bnfs; |
|
2879 |
||
49501 | 2880 |
val ctor_witss = |
2881 |
map (map (uncurry close_wit o tree_to_ctor_wit ys ctors witss o snd o snd) o |
|
49104 | 2882 |
filter_out (fst o snd)) wit_treess; |
2883 |
||
2884 |
val all_witss = |
|
2885 |
fold (fn ((i, wit), thms) => fn witss => |
|
2886 |
nth_map i (fn (thms', wits) => (thms @ thms', wit :: wits)) witss) |
|
49501 | 2887 |
coind_wit_thms (map (pair []) ctor_witss) |
49104 | 2888 |
|> map (apsnd (map snd o minimize_wits)); |
2889 |
||
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
2890 |
val wit_tac = mk_wit_tac n dtor_ctor_thms (flat dtor_set_thmss) (maps wit_thms_of_bnf bnfs); |
49104 | 2891 |
|
2892 |
val (Jbnfs, lthy) = |
|
51767
bbcdd8519253
honor user-specified name for relator + generalize syntax
blanchet
parents:
51766
diff
changeset
|
2893 |
fold_map9 (fn tacs => fn b => fn map_b => fn rel_b => fn set_bs => fn mapx => fn sets => |
bbcdd8519253
honor user-specified name for relator + generalize syntax
blanchet
parents:
51766
diff
changeset
|
2894 |
fn T => fn (thms, wits) => fn lthy => |
51758 | 2895 |
bnf_def Dont_Inline (user_policy Note_Some) I tacs (wit_tac thms) (SOME deads) map_b |
51767
bbcdd8519253
honor user-specified name for relator + generalize syntax
blanchet
parents:
51766
diff
changeset
|
2896 |
rel_b set_bs |
bbcdd8519253
honor user-specified name for relator + generalize syntax
blanchet
parents:
51766
diff
changeset
|
2897 |
(((((b, fold_rev Term.absfree fs' mapx), sets), absdummy T bd), wits), NONE) lthy |
49434
433dc7e028c8
separated registration of BNFs from bnf_def (BNFs are now stored only for bnf_def and (co)data commands)
traytel
parents:
49362
diff
changeset
|
2898 |
|> register_bnf (Local_Theory.full_name lthy b)) |
51767
bbcdd8519253
honor user-specified name for relator + generalize syntax
blanchet
parents:
51766
diff
changeset
|
2899 |
tacss bs map_bs rel_bs set_bss fs_maps setss_by_bnf Ts all_witss lthy; |
49104 | 2900 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2901 |
val fold_maps = fold_thms lthy (map (fn bnf => |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
2902 |
mk_unabs_def m (map_def_of_bnf bnf RS meta_eq_to_obj_eq)) Jbnfs); |
49104 | 2903 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
2904 |
val fold_sets = fold_thms lthy (maps (fn bnf => |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
2905 |
map (fn thm => thm RS meta_eq_to_obj_eq) (set_defs_of_bnf bnf)) Jbnfs); |
49104 | 2906 |
|
2907 |
val timer = time (timer "registered new codatatypes as BNFs"); |
|
2908 |
||
49544
24094fa47e0d
renamed "set_incl" etc. to have "ctor" or "dtor" in the name
blanchet
parents:
49543
diff
changeset
|
2909 |
val dtor_set_incl_thmss = map (map fold_sets) hset_dtor_incl_thmss; |
24094fa47e0d
renamed "set_incl" etc. to have "ctor" or "dtor" in the name
blanchet
parents:
49543
diff
changeset
|
2910 |
val dtor_set_set_incl_thmsss = map (map (map fold_sets)) hset_hset_dtor_incl_thmsss; |
49542
b39354db8629
renamed low-level "set_simps" and "set_induct" to have "ctor" or "dtor" in the name
blanchet
parents:
49541
diff
changeset
|
2911 |
val dtor_set_induct_thms = map fold_sets dtor_hset_induct_thms; |
49104 | 2912 |
|
49507 | 2913 |
val Jrels = map (mk_rel_of_bnf deads passiveAs passiveBs) Jbnfs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2914 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2915 |
val Jrelphis = map (fn Jrel => Term.list_comb (Jrel, Jphis)) Jrels; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2916 |
val relphis = map (fn rel => Term.list_comb (rel, Jphis @ Jrelphis)) rels; |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2917 |
val in_Jrels = map in_rel_of_bnf Jbnfs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2918 |
|
49541 | 2919 |
val folded_dtor_map_thms = map fold_maps dtor_map_thms; |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
2920 |
val folded_dtor_set_thmss = map (map fold_sets) dtor_set_thmss; |
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
2921 |
val folded_dtor_set_thmss' = transpose folded_dtor_set_thmss; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2922 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2923 |
val dtor_Jrel_thms = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2924 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2925 |
fun mk_goal Jz Jz' dtor dtor' Jrelphi relphi = fold_rev Logic.all (Jz :: Jz' :: Jphis) |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2926 |
(mk_Trueprop_eq (Jrelphi $ Jz $ Jz', relphi $ (dtor $ Jz) $ (dtor' $ Jz'))); |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2927 |
val goals = map6 mk_goal Jzs Jz's dtors dtor's Jrelphis relphis; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2928 |
in |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2929 |
map12 (fn i => fn goal => fn in_rel => fn map_comp => fn map_cong0 => |
49542
b39354db8629
renamed low-level "set_simps" and "set_induct" to have "ctor" or "dtor" in the name
blanchet
parents:
49541
diff
changeset
|
2930 |
fn dtor_map => fn dtor_sets => fn dtor_inject => fn dtor_ctor => |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
2931 |
fn set_maps => fn dtor_set_incls => fn dtor_set_set_inclss => |
51551 | 2932 |
Goal.prove_sorry lthy [] [] goal |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2933 |
(K (mk_dtor_rel_tac lthy in_Jrels i in_rel map_comp map_cong0 dtor_map dtor_sets |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
2934 |
dtor_inject dtor_ctor set_maps dtor_set_incls dtor_set_set_inclss)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2935 |
|> Thm.close_derivation) |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
2936 |
ks goals in_rels map_comp's map_cong0s folded_dtor_map_thms folded_dtor_set_thmss' |
51766
f19a4d0ab1bf
renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents:
51761
diff
changeset
|
2937 |
dtor_inject_thms dtor_ctor_thms set_map'ss dtor_set_incl_thmss |
49544
24094fa47e0d
renamed "set_incl" etc. to have "ctor" or "dtor" in the name
blanchet
parents:
49543
diff
changeset
|
2938 |
dtor_set_set_incl_thmsss |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2939 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2940 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2941 |
val timer = time (timer "additional properties"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2942 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2943 |
val ls' = if m = 1 then [0] else ls; |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2944 |
|
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2945 |
val Jbnf_common_notes = |
49543
53b3c532a082
renamed low-level "map_unique" to have "ctor" or "dtor" in the name
blanchet
parents:
49542
diff
changeset
|
2946 |
[(dtor_map_uniqueN, [fold_maps dtor_map_unique_thm])] @ |
49542
b39354db8629
renamed low-level "set_simps" and "set_induct" to have "ctor" or "dtor" in the name
blanchet
parents:
49541
diff
changeset
|
2947 |
map2 (fn i => fn thm => (mk_dtor_set_inductN i, [thm])) ls' dtor_set_induct_thms |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2948 |
|> map (fn (thmN, thms) => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2949 |
((Binding.qualify true (Binding.name_of b) (Binding.name thmN), []), [(thms, [])])); |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2950 |
|
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2951 |
val Jbnf_notes = |
49541 | 2952 |
[(dtor_mapN, map single folded_dtor_map_thms), |
2953 |
(dtor_relN, map single dtor_Jrel_thms), |
|
49544
24094fa47e0d
renamed "set_incl" etc. to have "ctor" or "dtor" in the name
blanchet
parents:
49543
diff
changeset
|
2954 |
(dtor_set_inclN, dtor_set_incl_thmss), |
49580
040cfb087b3a
leave out some internal theorems unless "bnf_note_all" is set
blanchet
parents:
49545
diff
changeset
|
2955 |
(dtor_set_set_inclN, map flat dtor_set_set_incl_thmsss)] @ |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
2956 |
map2 (fn i => fn thms => (mk_dtor_setN i, map single thms)) ls' folded_dtor_set_thmss |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2957 |
|> maps (fn (thmN, thmss) => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2958 |
map2 (fn b => fn thms => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2959 |
((Binding.qualify true (Binding.name_of b) (Binding.name thmN), []), [(thms, [])])) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2960 |
bs thmss) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2961 |
in |
51925 | 2962 |
(timer, Jbnfs, folded_dtor_map_thms, folded_dtor_set_thmss', dtor_set_induct_thms, |
2963 |
dtor_Jrel_thms, lthy |> Local_Theory.notes (Jbnf_common_notes @ Jbnf_notes) |> snd) |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
2964 |
end; |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
2965 |
|
51925 | 2966 |
val passiveABs = map2 (curry HOLogic.mk_prodT) passiveAs passiveBs; |
2967 |
val zip_ranTs = passiveABs @ prodTsTs'; |
|
2968 |
val allJphis = Jphis @ activeJphis; |
|
2969 |
val zipFTs = mk_FTs zip_ranTs; |
|
2970 |
val zipTs = map3 (fn T => fn T' => fn FT => T --> T' --> FT) Ts Ts' zipFTs; |
|
2971 |
val zip_zTs = mk_Ts passiveABs; |
|
2972 |
val (((zips, (abs, abs')), zip_zs), names_lthy) = names_lthy |
|
2973 |
|> mk_Frees "zip" zipTs |
|
2974 |
||>> mk_Frees' "ab" passiveABs |
|
2975 |
||>> mk_Frees "z" zip_zTs; |
|
2976 |
||
2977 |
val Iphi_sets = |
|
2978 |
map2 (fn phi => fn T => HOLogic.Collect_const T $ HOLogic.mk_split phi) allJphis zip_ranTs; |
|
2979 |
val in_phis = map2 (mk_in Iphi_sets) (mk_setss zip_ranTs) zipFTs; |
|
2980 |
val fstABs = map fst_const passiveABs; |
|
2981 |
val all_fsts = fstABs @ fstsTsTs'; |
|
2982 |
val map_all_fsts = map2 (fn Ds => fn bnf => |
|
2983 |
Term.list_comb (mk_map_of_bnf Ds zip_ranTs (passiveAs @ Ts) bnf, all_fsts)) Dss bnfs; |
|
2984 |
val Jmap_fsts = map2 (fn bnf => fn T => if m = 0 then HOLogic.id_const T |
|
2985 |
else Term.list_comb (mk_map_of_bnf deads passiveABs passiveAs bnf, fstABs)) Jbnfs Ts; |
|
2986 |
||
2987 |
val sndABs = map snd_const passiveABs; |
|
2988 |
val all_snds = sndABs @ sndsTsTs'; |
|
2989 |
val map_all_snds = map2 (fn Ds => fn bnf => |
|
2990 |
Term.list_comb (mk_map_of_bnf Ds zip_ranTs (passiveBs @ Ts') bnf, all_snds)) Dss bnfs; |
|
2991 |
val Jmap_snds = map2 (fn bnf => fn T => if m = 0 then HOLogic.id_const T |
|
2992 |
else Term.list_comb (mk_map_of_bnf deads passiveABs passiveBs bnf, sndABs)) Jbnfs Ts; |
|
2993 |
val zip_unfolds = map (mk_unfold zip_zTs (map HOLogic.mk_split zips)) ks; |
|
2994 |
val zip_setss = map (mk_sets_of_bnf (replicate m deads) (replicate m passiveABs)) Jbnfs |
|
2995 |
|> transpose; |
|
2996 |
val in_Jrels = map in_rel_of_bnf Jbnfs; |
|
2997 |
||
2998 |
val Jrel_coinduct_thm = |
|
2999 |
let |
|
3000 |
fun mk_helper_prem phi in_phi zip x y map map' dtor dtor' = |
|
3001 |
let |
|
3002 |
val zipxy = zip $ x $ y; |
|
3003 |
in |
|
3004 |
HOLogic.mk_Trueprop (list_all_free [x, y] |
|
3005 |
(HOLogic.mk_imp (phi $ x $ y, HOLogic.mk_conj (HOLogic.mk_mem (zipxy, in_phi), |
|
3006 |
HOLogic.mk_conj (HOLogic.mk_eq (map $ zipxy, dtor $ x), |
|
3007 |
HOLogic.mk_eq (map' $ zipxy, dtor' $ y)))))) |
|
3008 |
end; |
|
3009 |
val helper_prems = map9 mk_helper_prem |
|
3010 |
activeJphis in_phis zips Jzs Jz's map_all_fsts map_all_snds dtors dtor's; |
|
3011 |
fun mk_helper_coind_concl fst phi x alt y map zip_unfold = |
|
3012 |
HOLogic.mk_imp (list_exists_free [if fst then y else x] (HOLogic.mk_conj (phi $ x $ y, |
|
3013 |
HOLogic.mk_eq (alt, map $ (zip_unfold $ HOLogic.mk_prod (x, y))))), |
|
3014 |
HOLogic.mk_eq (alt, if fst then x else y)); |
|
3015 |
val helper_coind1_concl = |
|
3016 |
HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
|
3017 |
(map6 (mk_helper_coind_concl true) |
|
3018 |
activeJphis Jzs Jzs_copy Jz's Jmap_fsts zip_unfolds)); |
|
3019 |
val helper_coind2_concl = |
|
3020 |
HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
|
3021 |
(map6 (mk_helper_coind_concl false) |
|
3022 |
activeJphis Jzs Jz's_copy Jz's Jmap_snds zip_unfolds)); |
|
3023 |
val helper_coind_tac = mk_rel_coinduct_coind_tac m dtor_map_coinduct_thm ks map_comp's |
|
3024 |
map_cong0s map_arg_cong_thms set_map'ss dtor_unfold_thms folded_dtor_map_thms; |
|
3025 |
fun mk_helper_coind_thms vars concl = |
|
3026 |
Goal.prove_sorry lthy [] [] |
|
3027 |
(fold_rev Logic.all (Jphis @ activeJphis @ vars @ zips) |
|
3028 |
(Logic.list_implies (helper_prems, concl))) |
|
3029 |
helper_coind_tac |
|
3030 |
|> Thm.close_derivation |
|
3031 |
|> split_conj_thm; |
|
3032 |
val helper_coind1_thms = mk_helper_coind_thms (Jzs @ Jzs_copy) helper_coind1_concl; |
|
3033 |
val helper_coind2_thms = mk_helper_coind_thms (Jz's @ Jz's_copy) helper_coind2_concl; |
|
3034 |
||
3035 |
fun mk_helper_ind_concl phi ab' ab fst snd z active_phi x y zip_unfold set = |
|
3036 |
mk_Ball (set $ z) (Term.absfree ab' (list_all_free [x, y] (HOLogic.mk_imp |
|
3037 |
(HOLogic.mk_conj (active_phi $ x $ y, |
|
3038 |
HOLogic.mk_eq (z, zip_unfold $ HOLogic.mk_prod (x, y))), |
|
3039 |
phi $ (fst $ ab) $ (snd $ ab))))); |
|
3040 |
||
3041 |
val mk_helper_ind_concls = |
|
3042 |
map6 (fn Jphi => fn ab' => fn ab => fn fst => fn snd => fn zip_sets => |
|
3043 |
map6 (mk_helper_ind_concl Jphi ab' ab fst snd) |
|
3044 |
zip_zs activeJphis Jzs Jz's zip_unfolds zip_sets) |
|
3045 |
Jphis abs' abs fstABs sndABs zip_setss |
|
3046 |
|> map (HOLogic.mk_Trueprop o Library.foldr1 HOLogic.mk_conj); |
|
3047 |
||
3048 |
val helper_ind_thmss = if m = 0 then replicate n [] else |
|
3049 |
map3 (fn concl => fn j => fn set_induct => |
|
3050 |
Goal.prove_sorry lthy [] [] |
|
3051 |
(fold_rev Logic.all (Jphis @ activeJphis @ zip_zs @ zips) |
|
3052 |
(Logic.list_implies (helper_prems, concl))) |
|
3053 |
(mk_rel_coinduct_ind_tac m ks dtor_unfold_thms set_map'ss j set_induct) |
|
3054 |
|> Thm.close_derivation |
|
3055 |
|> split_conj_thm) |
|
3056 |
mk_helper_ind_concls ls dtor_set_induct_thms |
|
3057 |
|> transpose; |
|
3058 |
||
3059 |
val relphis = map (fn rel => Term.list_comb (rel, Jphis @ activeJphis)) rels; |
|
3060 |
fun mk_prem relphi phi x y dtor dtor' = |
|
3061 |
HOLogic.mk_Trueprop (list_all_free [x, y] |
|
3062 |
(HOLogic.mk_imp (phi $ x $ y, relphi $ (dtor $ x) $ (dtor' $ y)))); |
|
3063 |
val prems = map6 mk_prem relphis activeJphis Jzs Jz's dtors dtor's; |
|
3064 |
||
3065 |
val Jrels = if m = 0 then map HOLogic.eq_const Ts |
|
3066 |
else map (mk_rel_of_bnf deads passiveAs passiveBs) Jbnfs; |
|
3067 |
val Jrelphis = map (fn Jrel => Term.list_comb (Jrel, Jphis)) Jrels; |
|
3068 |
val concl = |
|
3069 |
HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 mk_leq activeJphis Jrelphis)); |
|
3070 |
in |
|
3071 |
Goal.prove_sorry lthy [] [] |
|
3072 |
(fold_rev Logic.all (Jphis @ activeJphis) (Logic.list_implies (prems, concl))) |
|
3073 |
(mk_rel_coinduct_tac in_rels in_Jrels |
|
3074 |
helper_ind_thmss helper_coind1_thms helper_coind2_thms) |
|
3075 |
|> Thm.close_derivation |
|
3076 |
|> (fn thm => thm OF (replicate n @{thm allI[OF allI[OF impI]]})) |
|
3077 |
end; |
|
3078 |
||
3079 |
val timer = time (timer "relator coinduction"); |
|
3080 |
||
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
3081 |
val common_notes = |
49582
557302525778
renamed "dtor_rel_coinduct" etc. to "dtor_coinduct"
blanchet
parents:
49581
diff
changeset
|
3082 |
[(dtor_coinductN, [dtor_coinduct_thm]), |
49588
9b72d207617b
export "dtor_map_coinduct" theorems, since they're used in one example
blanchet
parents:
49585
diff
changeset
|
3083 |
(dtor_map_coinductN, [dtor_map_coinduct_thm]), |
9b72d207617b
export "dtor_map_coinduct" theorems, since they're used in one example
blanchet
parents:
49585
diff
changeset
|
3084 |
(dtor_map_strong_coinductN, [dtor_map_strong_coinduct_thm]), |
51925 | 3085 |
(dtor_strong_coinductN, [dtor_strong_coinduct_thm]), |
3086 |
(rel_coinductN, [Jrel_coinduct_thm])] |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
3087 |
|> map (fn (thmN, thms) => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
3088 |
((Binding.qualify true (Binding.name_of b) (Binding.name thmN), []), [(thms, [])])); |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
3089 |
|
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
3090 |
val notes = |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
3091 |
[(ctor_dtorN, ctor_dtor_thms), |
49594
55e798614c45
tweaked theorem names (in particular, dropped s's)
blanchet
parents:
49592
diff
changeset
|
3092 |
(ctor_dtor_corecN, ctor_dtor_corec_thms), |
55e798614c45
tweaked theorem names (in particular, dropped s's)
blanchet
parents:
49592
diff
changeset
|
3093 |
(ctor_dtor_unfoldN, ctor_dtor_unfold_thms), |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
3094 |
(ctor_exhaustN, ctor_exhaust_thms), |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
3095 |
(ctor_injectN, ctor_inject_thms), |
49594
55e798614c45
tweaked theorem names (in particular, dropped s's)
blanchet
parents:
49592
diff
changeset
|
3096 |
(dtor_corecN, dtor_corec_thms), |
49501 | 3097 |
(dtor_ctorN, dtor_ctor_thms), |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49501
diff
changeset
|
3098 |
(dtor_exhaustN, dtor_exhaust_thms), |
49501 | 3099 |
(dtor_injectN, dtor_inject_thms), |
49594
55e798614c45
tweaked theorem names (in particular, dropped s's)
blanchet
parents:
49592
diff
changeset
|
3100 |
(dtor_unfoldN, dtor_unfold_thms), |
51739
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
3101 |
(dtor_unfold_uniqueN, dtor_unfold_unique_thms), |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
3102 |
(dtor_corec_uniqueN, dtor_corec_unique_thms)] |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
3103 |
|> map (apsnd (map single)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
3104 |
|> maps (fn (thmN, thmss) => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
3105 |
map2 (fn b => fn thms => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
3106 |
((Binding.qualify true (Binding.name_of b) (Binding.name thmN), []), [(thms, [])])) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49105
diff
changeset
|
3107 |
bs thmss) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
3108 |
in |
51925 | 3109 |
timer; |
52312
f461dca57c66
tuned record field names to avoid confusion between low-level and high-level constants/theorems
blanchet
parents:
52298
diff
changeset
|
3110 |
({Ts = Ts, bnfs = Jbnfs, ctors = ctors, dtors = dtors, xtor_un_folds = unfolds, |
f461dca57c66
tuned record field names to avoid confusion between low-level and high-level constants/theorems
blanchet
parents:
52298
diff
changeset
|
3111 |
xtor_co_recs = corecs, xtor_co_induct = dtor_coinduct_thm, |
f461dca57c66
tuned record field names to avoid confusion between low-level and high-level constants/theorems
blanchet
parents:
52298
diff
changeset
|
3112 |
xtor_strong_co_induct = dtor_strong_coinduct_thm, dtor_ctors = dtor_ctor_thms, |
f461dca57c66
tuned record field names to avoid confusion between low-level and high-level constants/theorems
blanchet
parents:
52298
diff
changeset
|
3113 |
ctor_dtors = ctor_dtor_thms, ctor_injects = ctor_inject_thms, |
52314 | 3114 |
xtor_map_thms = folded_dtor_map_thms, xtor_set_thmss = folded_dtor_set_thmss', |
3115 |
xtor_rel_thms = dtor_Jrel_thms, xtor_un_fold_thms = ctor_dtor_unfold_thms, |
|
52312
f461dca57c66
tuned record field names to avoid confusion between low-level and high-level constants/theorems
blanchet
parents:
52298
diff
changeset
|
3116 |
xtor_co_rec_thms = ctor_dtor_corec_thms}, |
49205 | 3117 |
lthy |> Local_Theory.notes (common_notes @ notes) |> snd) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
3118 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
3119 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
3120 |
val _ = |
51804
be6e703908f4
renamed BNF "(co)data" commands to names that are closer to their final names
blanchet
parents:
51798
diff
changeset
|
3121 |
Outer_Syntax.local_theory @{command_spec "codatatype"} "define BNF-based coinductive datatypes" |
52207
21026c312cc3
tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents:
52090
diff
changeset
|
3122 |
(parse_co_datatype_cmd Greatest_FP construct_gfp); |
49308
6190b701e4f4
reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents:
49277
diff
changeset
|
3123 |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
3124 |
end; |