author | blanchet |
Thu, 16 Jan 2014 16:20:17 +0100 | |
changeset 55017 | 2df6ad1dbd66 |
parent 54841 | af71b753c459 |
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_lfp.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 |
Copyright 2012 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
5 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
6 |
Datatype construction. |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
7 |
*) |
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 |
signature BNF_LFP = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
10 |
sig |
51867 | 11 |
val construct_lfp: mixfix list -> binding list -> binding list -> binding list list -> |
12 |
binding list -> (string * sort) list -> typ list * typ list list -> BNF_Def.bnf list -> |
|
51866 | 13 |
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
|
14 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
15 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
16 |
structure BNF_LFP : BNF_LFP = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
17 |
struct |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
18 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
19 |
open BNF_Def |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
20 |
open BNF_Util |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
21 |
open BNF_Tactics |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
22 |
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
|
23 |
open BNF_FP_Util |
49636 | 24 |
open BNF_FP_Def_Sugar |
54246
8fdb4dc08ed1
split 'primrec_new' and 'primcorec' code (to ease bootstrapping, e.g. dependency on datatype 'String' in 'primcorec')
blanchet
parents:
54025
diff
changeset
|
25 |
open BNF_LFP_Rec_Sugar |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
26 |
open BNF_LFP_Util |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
27 |
open BNF_LFP_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 |
(*all BNFs have the same lives*) |
54557
d71c2737ee21
correctly account for dead variables when naming set functions
blanchet
parents:
54492
diff
changeset
|
30 |
fun construct_lfp mixfixes map_bs rel_bs set_bss0 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
|
31 |
let |
53143
ba80154a1118
configuration option to control timing output for (co)datatypes
traytel
parents:
53138
diff
changeset
|
32 |
val time = time lthy; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
33 |
val timer = time (Timer.startRealTimer ()); |
49580
040cfb087b3a
leave out some internal theorems unless "bnf_note_all" is set
blanchet
parents:
49545
diff
changeset
|
34 |
|
49132 | 35 |
val live = live_of_bnf (hd bnfs); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
36 |
val n = length bnfs; (*active*) |
49132 | 37 |
val ks = 1 upto n; |
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
38 |
val m = live - n; (*passive, if 0 don't generate a new BNF*) |
53566 | 39 |
|
40 |
val note_all = Config.get lthy bnf_note_all; |
|
52956 | 41 |
val b_names = map Binding.name_of bs; |
53566 | 42 |
val b_name = mk_common_name b_names; |
43 |
val b = Binding.name b_name; |
|
44 |
val mk_internal_b = Binding.name #> Binding.prefix true b_name #> Binding.conceal; |
|
45 |
fun mk_internal_bs name = |
|
46 |
map (fn b => |
|
54492 | 47 |
Binding.prefix true b_name (Binding.prefix_name (name ^ "_") b) |> Binding.conceal) bs; |
53566 | 48 |
val external_bs = map2 (Binding.prefix false) b_names bs |
49 |
|> note_all = false ? map Binding.conceal; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
50 |
|
49460
4dd451a075ce
fixed infinite loop with trivial rel_O_Gr + tuning
blanchet
parents:
49459
diff
changeset
|
51 |
(* 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
|
52 |
|
49185
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49176
diff
changeset
|
53 |
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
|
54 |
val names_lthy = fold Variable.declare_typ deads lthy; |
52956 | 55 |
val passives = map fst (subtract (op = o apsnd TFree) deads resBs); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
56 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
57 |
(* tvars *) |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
58 |
val (((((passiveAs, activeAs), passiveBs), activeBs), passiveCs), activeCs) = |
52938
3b3e52d5e66b
tuned name generation code (to make it easier to adapt later)
blanchet
parents:
52923
diff
changeset
|
59 |
names_lthy |
52956 | 60 |
|> variant_tfrees passives |
52938
3b3e52d5e66b
tuned name generation code (to make it easier to adapt later)
blanchet
parents:
52923
diff
changeset
|
61 |
||>> mk_TFrees n |
52956 | 62 |
||>> variant_tfrees passives |
52938
3b3e52d5e66b
tuned name generation code (to make it easier to adapt later)
blanchet
parents:
52923
diff
changeset
|
63 |
||>> mk_TFrees n |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
64 |
||>> variant_tfrees passives |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
65 |
||>> mk_TFrees n |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
66 |
|> fst; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
67 |
|
52938
3b3e52d5e66b
tuned name generation code (to make it easier to adapt later)
blanchet
parents:
52923
diff
changeset
|
68 |
val allAs = passiveAs @ activeAs; |
3b3e52d5e66b
tuned name generation code (to make it easier to adapt later)
blanchet
parents:
52923
diff
changeset
|
69 |
val allBs' = passiveBs @ activeBs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
70 |
val Ass = replicate n allAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
71 |
val allBs = passiveAs @ activeBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
72 |
val Bss = replicate n allBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
73 |
val allCs = passiveAs @ activeCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
74 |
val allCs' = passiveBs @ activeCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
75 |
val Css' = replicate n allCs'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
76 |
|
51866 | 77 |
(* types *) |
49185
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49176
diff
changeset
|
78 |
val dead_poss = |
52956 | 79 |
map (fn x => if member (op =) deads (TFree x) then SOME (TFree x) else NONE) resBs; |
49185
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49176
diff
changeset
|
80 |
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
|
81 |
| 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
|
82 |
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
|
83 |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
84 |
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
|
85 |
val (params, params') = `(map Term.dest_TFree) (mk_params passiveAs); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
86 |
val FTsAs = mk_FTs allAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
87 |
val FTsBs = mk_FTs allBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
88 |
val FTsCs = mk_FTs allCs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
89 |
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
|
90 |
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
|
91 |
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
|
92 |
val B''Ts = map HOLogic.mk_setT activeCs; |
52923 | 93 |
val sTs = map2 (curry op -->) FTsAs activeAs; |
94 |
val s'Ts = map2 (curry op -->) FTsBs activeBs; |
|
95 |
val s''Ts = map2 (curry op -->) FTsCs activeCs; |
|
96 |
val fTs = map2 (curry op -->) activeAs activeBs; |
|
97 |
val inv_fTs = map2 (curry op -->) activeBs activeAs; |
|
98 |
val self_fTs = map2 (curry op -->) activeAs activeAs; |
|
99 |
val gTs = map2 (curry op -->) activeBs activeCs; |
|
100 |
val all_gTs = map2 (curry op -->) allBs allCs'; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
101 |
val prodBsAs = map2 (curry HOLogic.mk_prodT) activeBs activeAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
102 |
val prodFTs = mk_FTs (passiveAs @ prodBsAs); |
52923 | 103 |
val prod_sTs = map2 (curry op -->) prodFTs activeAs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
104 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
105 |
(* terms *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
106 |
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
|
107 |
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
|
108 |
val mapsBsAs = map4 mk_map_of_bnf Dss Bss Ass bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
109 |
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
|
110 |
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
|
111 |
val map_fsts = map4 mk_map_of_bnf Dss (replicate n (passiveAs @ prodBsAs)) Bss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
112 |
val map_fsts_rev = map4 mk_map_of_bnf Dss Bss (replicate n (passiveAs @ prodBsAs)) bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
113 |
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
|
114 |
(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
|
115 |
val setssAs = mk_setss allAs; |
52635
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
116 |
val bd0s = map3 mk_bd_of_bnf Dss Ass bnfs; |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
117 |
val bds = |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
118 |
map3 (fn bd0 => fn Ds => fn bnf => mk_csum bd0 |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
119 |
(mk_card_of (HOLogic.mk_UNIV |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
120 |
(mk_T_of_bnf Ds (replicate live (fst (dest_relT (fastype_of bd0)))) bnf)))) |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
121 |
bd0s Dss bnfs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
122 |
val witss = map wits_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
123 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
124 |
val (((((((((((((((((((zs, zs'), As), Bs), Bs_copy), B's), B''s), ss), prod_ss), s's), s''s), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
125 |
fs), fs_copy), inv_fs), self_fs), gs), all_gs), (xFs, xFs')), (yFs, yFs')), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
126 |
names_lthy) = lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
127 |
|> mk_Frees' "z" activeAs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
128 |
||>> mk_Frees "A" ATs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
129 |
||>> mk_Frees "B" BTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
130 |
||>> mk_Frees "B" BTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
131 |
||>> mk_Frees "B'" B'Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
132 |
||>> mk_Frees "B''" B''Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
133 |
||>> mk_Frees "s" sTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
134 |
||>> mk_Frees "prods" prod_sTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
135 |
||>> mk_Frees "s'" s'Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
136 |
||>> mk_Frees "s''" s''Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
137 |
||>> mk_Frees "f" fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
138 |
||>> mk_Frees "f" fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
139 |
||>> mk_Frees "f" inv_fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
140 |
||>> mk_Frees "f" self_fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
141 |
||>> mk_Frees "g" gTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
142 |
||>> mk_Frees "g" all_gTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
143 |
||>> mk_Frees' "x" FTsAs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
144 |
||>> mk_Frees' "y" FTsBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
145 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
146 |
val passive_UNIVs = map HOLogic.mk_UNIV passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
147 |
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
|
148 |
val prod_UNIVs = map HOLogic.mk_UNIV prodBsAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
149 |
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
|
150 |
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
|
151 |
val fsts = map fst_const prodBsAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
152 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
153 |
(* thms *) |
52635
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
154 |
val bd0_card_orders = map bd_card_order_of_bnf bnfs; |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
155 |
val bd0_Card_orders = map bd_Card_order_of_bnf bnfs; |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
156 |
val bd0_Cinfinites = map bd_Cinfinite_of_bnf bnfs; |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
157 |
val set_bd0ss = map set_bd_of_bnf bnfs; |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
158 |
|
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
159 |
val bd_card_orders = |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
160 |
map (fn thm => @{thm card_order_csum} OF [thm, @{thm card_of_card_order_on}]) bd0_card_orders; |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
161 |
val bd_Card_order = @{thm Card_order_csum}; |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
162 |
val bd_Card_orders = replicate n bd_Card_order; |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
163 |
val bd_Cinfinites = map (fn thm => thm RS @{thm Cinfinite_csum1}) bd0_Cinfinites; |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
164 |
val bd_Cnotzeros = map (fn thm => thm RS @{thm Cinfinite_Cnotzero}) bd_Cinfinites; |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
165 |
val bd_Cinfinite = hd bd_Cinfinites; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
166 |
val bd_Cnotzero = hd bd_Cnotzeros; |
52635
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
167 |
val set_bdss = |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
168 |
map2 (fn set_bd0s => fn bd0_Card_order => |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
169 |
map (fn thm => ctrans OF [thm, bd0_Card_order RS @{thm ordLeq_csum1}]) set_bd0s) |
4f84b730c489
got rid of in_bd BNF property (derivable from set_bd+map_cong+map_comp+map_id)
traytel
parents:
52505
diff
changeset
|
170 |
set_bd0ss bd0_Card_orders; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
171 |
val in_bds = map in_bd_of_bnf bnfs; |
53287 | 172 |
val sym_map_comps = map (fn bnf => map_comp0_of_bnf bnf RS sym) bnfs; |
53288 | 173 |
val map_comps = 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
|
174 |
val map_cong0s = map map_cong0_of_bnf bnfs; |
53270 | 175 |
val map_id0s = map map_id0_of_bnf bnfs; |
53285 | 176 |
val map_ids = map map_id_of_bnf bnfs; |
53290 | 177 |
val set_mapss = map set_map_of_bnf bnfs; |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
178 |
val rel_mono_strongs = map rel_mono_strong_of_bnf bnfs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
179 |
val rel_OOs = map rel_OO_of_bnf bnfs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
180 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
181 |
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
|
182 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
183 |
(* nonemptiness check *) |
51070 | 184 |
fun new_wit X (wit: nonemptiness_witness) = subset (op =) (#I wit, (0 upto m - 1) @ map snd X); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
185 |
|
49341
d406979024d1
nicer error message, indicating which type is empty (relying on metatheoretical completeness proof here)
blanchet
parents:
49337
diff
changeset
|
186 |
val all = m upto m + n - 1; |
d406979024d1
nicer error message, indicating which type is empty (relying on metatheoretical completeness proof here)
blanchet
parents:
49337
diff
changeset
|
187 |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
188 |
fun enrich X = map_filter (fn i => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
189 |
(case find_first (fn (_, i') => i = i') X of |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
190 |
NONE => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
191 |
(case find_index (new_wit X) (nth witss (i - m)) of |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
192 |
~1 => NONE |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
193 |
| j => SOME (j, i)) |
49341
d406979024d1
nicer error message, indicating which type is empty (relying on metatheoretical completeness proof here)
blanchet
parents:
49337
diff
changeset
|
194 |
| SOME ji => SOME ji)) all; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
195 |
val reachable = fixpoint (op =) enrich []; |
49341
d406979024d1
nicer error message, indicating which type is empty (relying on metatheoretical completeness proof here)
blanchet
parents:
49337
diff
changeset
|
196 |
val _ = (case subtract (op =) (map snd reachable) all of |
d406979024d1
nicer error message, indicating which type is empty (relying on metatheoretical completeness proof here)
blanchet
parents:
49337
diff
changeset
|
197 |
[] => () |
49390 | 198 |
| i :: _ => error ("Cannot define empty datatype " ^ quote (Binding.name_of (nth bs (i - m))))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
199 |
|
49341
d406979024d1
nicer error message, indicating which type is empty (relying on metatheoretical completeness proof here)
blanchet
parents:
49337
diff
changeset
|
200 |
val wit_thms = flat (map2 (fn bnf => fn (j, _) => nth (wit_thmss_of_bnf bnf) j) bnfs reachable); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
201 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
202 |
val timer = time (timer "Checked nonemptiness"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
203 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
204 |
(* derived thms *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
205 |
|
52956 | 206 |
(*map g1 ... gm g(m+1) ... g(m+n) (map id ... id f(m+1) ... f(m+n) x) = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
207 |
map g1 ... gm (g(m+1) o f(m+1)) ... (g(m+n) o f(m+n)) x*) |
53287 | 208 |
fun mk_map_comp_id x mapAsBs mapBsCs mapAsCs map_comp0 = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
209 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
210 |
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
|
211 |
(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
|
212 |
val rhs = Term.list_comb (mapAsCs, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
213 |
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
|
214 |
in |
51551 | 215 |
Goal.prove_sorry lthy [] [] |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
216 |
(fold_rev Logic.all (x :: fs @ all_gs) (mk_Trueprop_eq (lhs, rhs))) |
53287 | 217 |
(K (mk_map_comp_id_tac map_comp0)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
218 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
219 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
220 |
|
53288 | 221 |
val map_comp_id_thms = map5 mk_map_comp_id xFs mapsAsBs mapsBsCs' mapsAsCs' map_comps; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
222 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
223 |
(*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
|
224 |
map id ... id f(m+1) ... f(m+n) x = x*) |
53285 | 225 |
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
|
226 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
227 |
fun mk_prem set f z z' = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
228 |
(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
|
229 |
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
|
230 |
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
|
231 |
in |
51551 | 232 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
233 |
(fold_rev Logic.all (x :: self_fs) (Logic.list_implies (prems, goal))) |
53285 | 234 |
(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:
49074
diff
changeset
|
235 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
236 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
237 |
|
53285 | 238 |
val map_cong0L_thms = map5 mk_map_cong0L xFs mapsAsAs setssAs map_cong0s map_ids; |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
239 |
val in_mono'_thms = map (fn bnf => in_mono_of_bnf bnf OF (replicate m subset_refl)) bnfs; |
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
240 |
val in_cong'_thms = map (fn bnf => in_cong_of_bnf bnf OF (replicate m refl)) bnfs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
241 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
242 |
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
|
243 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
244 |
(* algebra *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
245 |
|
53566 | 246 |
val alg_bind = mk_internal_b algN; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
247 |
val alg_name = Binding.name_of alg_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
248 |
val alg_def_bind = (Thm.def_binding alg_bind, []); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
249 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
250 |
(*forall i = 1 ... n: (\<forall>x \<in> Fi_in A1 .. Am B1 ... Bn. si x \<in> Bi)*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
251 |
val alg_spec = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
252 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
253 |
val algT = 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
|
254 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
255 |
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
|
256 |
fun mk_alg_conjunct B s X x x' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
257 |
mk_Ball X (Term.absfree x' (HOLogic.mk_mem (s $ x, B))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
258 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
259 |
val lhs = Term.list_comb (Free (alg_name, algT), As @ Bs @ ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
260 |
val rhs = Library.foldr1 HOLogic.mk_conj (map5 mk_alg_conjunct Bs ss ins xFs xFs') |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
261 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
262 |
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
|
263 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
264 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
265 |
val ((alg_free, (_, alg_def_free)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
266 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
267 |
|> Specification.definition (SOME (alg_bind, NONE, NoSyn), (alg_def_bind, alg_spec)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
268 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
269 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
270 |
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
|
271 |
val alg = fst (Term.dest_Const (Morphism.term phi alg_free)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
272 |
val alg_def = Morphism.thm phi alg_def_free; |
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 |
fun mk_alg As Bs ss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
275 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
276 |
val args = As @ Bs @ ss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
277 |
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
|
278 |
val algT = 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
|
279 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
280 |
Term.list_comb (Const (alg, algT), args) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
281 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
282 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
283 |
val alg_set_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
284 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
285 |
val alg_prem = HOLogic.mk_Trueprop (mk_alg As Bs ss); |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
286 |
fun mk_prem x set B = HOLogic.mk_Trueprop (mk_leq (set $ x) B); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
287 |
fun mk_concl s x B = HOLogic.mk_Trueprop (HOLogic.mk_mem (s $ x, B)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
288 |
val premss = map2 ((fn x => fn sets => map2 (mk_prem x) sets (As @ Bs))) xFs setssAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
289 |
val concls = map3 mk_concl ss xFs Bs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
290 |
val goals = map3 (fn x => fn prems => fn concl => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
291 |
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
|
292 |
(Logic.list_implies (alg_prem :: prems, concl))) xFs premss concls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
293 |
in |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
294 |
map (fn goal => |
51551 | 295 |
Goal.prove_sorry lthy [] [] goal (K (mk_alg_set_tac alg_def)) |> Thm.close_derivation) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
296 |
goals |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
297 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
298 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
299 |
fun mk_talg ATs BTs = mk_alg (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
|
300 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
301 |
val talg_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
302 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
303 |
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
|
304 |
(HOLogic.mk_Trueprop (mk_talg passiveAs activeAs ss)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
305 |
in |
51551 | 306 |
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
|
307 |
(K (stac alg_def 1 THEN CONJ_WRAP (K (EVERY' [rtac ballI, rtac UNIV_I] 1)) ss)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
308 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
309 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
310 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
311 |
val timer = time (timer "Algebra definition & thms"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
312 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
313 |
val alg_not_empty_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
314 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
315 |
val alg_prem = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
316 |
HOLogic.mk_Trueprop (mk_alg passive_UNIVs Bs ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
317 |
val concls = map (HOLogic.mk_Trueprop o mk_not_empty) Bs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
318 |
val goals = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
319 |
map (fn concl => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
320 |
fold_rev Logic.all (Bs @ ss) (Logic.mk_implies (alg_prem, concl))) concls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
321 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
322 |
map2 (fn goal => fn alg_set => |
51551 | 323 |
Goal.prove_sorry lthy [] [] |
51798 | 324 |
goal (K (mk_alg_not_empty_tac lthy alg_set alg_set_thms wit_thms)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
325 |
|> Thm.close_derivation) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
326 |
goals alg_set_thms |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
327 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
328 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
329 |
val timer = time (timer "Proved nonemptiness"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
330 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
331 |
(* morphism *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
332 |
|
53566 | 333 |
val mor_bind = mk_internal_b morN; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
334 |
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
|
335 |
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
|
336 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
337 |
(*fbetw) forall i = 1 ... n: (\<forall>x \<in> Bi. f x \<in> B'i)*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
338 |
(*mor) forall i = 1 ... n: (\<forall>x \<in> Fi_in UNIV ... UNIV B1 ... Bn. |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
339 |
f (s1 x) = s1' (Fi_map id ... id f1 ... fn x))*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
340 |
val mor_spec = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
341 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
342 |
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
|
343 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
344 |
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
|
345 |
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
|
346 |
fun mk_mor sets mapAsBs f s s' T x x' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
347 |
mk_Ball (mk_in (passive_UNIVs @ Bs) sets T) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
348 |
(Term.absfree x' (HOLogic.mk_eq (f $ (s $ x), s' $ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
349 |
(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
|
350 |
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
|
351 |
val rhs = HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
352 |
(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
|
353 |
Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
354 |
(map8 mk_mor setssAs mapsAsBs fs ss s's FTsAs xFs xFs')) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
355 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
356 |
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
|
357 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
358 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
359 |
val ((mor_free, (_, mor_def_free)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
360 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
361 |
|> Specification.definition (SOME (mor_bind, NONE, NoSyn), (mor_def_bind, mor_spec)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
362 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
363 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
364 |
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
|
365 |
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
|
366 |
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
|
367 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
368 |
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
|
369 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
370 |
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
|
371 |
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
|
372 |
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
|
373 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
374 |
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
|
375 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
376 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
377 |
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
|
378 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
379 |
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
|
380 |
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
|
381 |
(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
|
382 |
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
|
383 |
fun mk_elim_prem sets x T = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
384 |
(HOLogic.mk_mem (x, mk_in (passive_UNIVs @ Bs) sets T)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
385 |
fun mk_elim_goal sets mapAsBs f s s' x T = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
386 |
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
|
387 |
(Logic.list_implies ([prem, mk_elim_prem sets x T], |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
388 |
mk_Trueprop_eq (f $ (s $ x), s' $ Term.list_comb (mapAsBs, passive_ids @ fs @ [x])))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
389 |
val elim_goals = map7 mk_elim_goal setssAs mapsAsBs fs ss s's xFs FTsAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
390 |
fun prove goal = |
51551 | 391 |
Goal.prove_sorry lthy [] [] goal (K (mk_mor_elim_tac mor_def)) |> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
392 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
393 |
(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
|
394 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
395 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
396 |
val mor_incl_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
397 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
398 |
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
|
399 |
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
|
400 |
in |
51551 | 401 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
402 |
(fold_rev Logic.all (Bs @ ss @ Bs_copy) (Logic.list_implies (prems, concl))) |
53285 | 403 |
(K (mk_mor_incl_tac mor_def map_ids)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
404 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
405 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
406 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
407 |
val mor_comp_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
408 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
409 |
val prems = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
410 |
[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
|
411 |
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
|
412 |
val concl = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
413 |
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
|
414 |
in |
51551 | 415 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
416 |
(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
|
417 |
(Logic.list_implies (prems, concl))) |
53290 | 418 |
(K (mk_mor_comp_tac mor_def set_mapss map_comp_id_thms)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
419 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
420 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
421 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
422 |
val mor_inv_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
423 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
424 |
fun mk_inv_prem f inv_f B B' = HOLogic.mk_conj (mk_leq (mk_image inv_f $ B') B, |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
425 |
HOLogic.mk_conj (mk_inver inv_f f B, mk_inver f inv_f B')); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
426 |
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
|
427 |
([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
|
428 |
mk_alg passive_UNIVs Bs ss, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
429 |
mk_alg passive_UNIVs B's s's] @ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
430 |
map4 mk_inv_prem fs inv_fs Bs B's); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
431 |
val concl = HOLogic.mk_Trueprop (mk_mor B's s's Bs ss inv_fs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
432 |
in |
51551 | 433 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
434 |
(fold_rev Logic.all (Bs @ ss @ B's @ s's @ fs @ inv_fs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
435 |
(Logic.list_implies (prems, concl))) |
53290 | 436 |
(K (mk_mor_inv_tac alg_def mor_def set_mapss morE_thms 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:
49074
diff
changeset
|
437 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
438 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
439 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
440 |
val mor_cong_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
441 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
442 |
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
|
443 |
(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
|
444 |
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
|
445 |
in |
51551 | 446 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
447 |
(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
|
448 |
(Logic.list_implies (prems, concl))) |
51798 | 449 |
(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:
49074
diff
changeset
|
450 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
451 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
452 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
453 |
val mor_str_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
454 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
455 |
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
|
456 |
(mk_map_of_bnf Ds (passiveAs @ FTsAs) allAs 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
|
457 |
in |
51551 | 458 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
459 |
(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
|
460 |
(mk_mor (map HOLogic.mk_UNIV FTsAs) maps active_UNIVs ss ss))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
461 |
(K (mk_mor_str_tac ks mor_def)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
462 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
463 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
464 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
465 |
val mor_convol_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
466 |
let |
49458 | 467 |
val maps = map3 (fn s => fn prod_s => fn mapx => |
468 |
mk_convol (HOLogic.mk_comp (s, Term.list_comb (mapx, passive_ids @ fsts)), prod_s)) |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
469 |
s's prod_ss map_fsts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
470 |
in |
51551 | 471 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
472 |
(fold_rev Logic.all (s's @ prod_ss) (HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
473 |
(mk_mor prod_UNIVs maps (map HOLogic.mk_UNIV activeBs) s's fsts))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
474 |
(K (mk_mor_convol_tac ks mor_def)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
475 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
476 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
477 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
478 |
val mor_UNIV_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
479 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
480 |
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
|
481 |
(HOLogic.mk_comp (f, s), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
482 |
HOLogic.mk_comp (s', Term.list_comb (mapAsBs, passive_ids @ fs))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
483 |
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
|
484 |
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
|
485 |
in |
51551 | 486 |
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
|
487 |
(K (mk_mor_UNIV_tac m morE_thms mor_def)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
488 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
489 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
490 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
491 |
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
|
492 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
493 |
(* isomorphism *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
494 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
495 |
(*mor Bs1 ss1 Bs2 ss2 fs \<and> (\<exists>gs. mor Bs2 ss2 Bs1 ss1 fs \<and> |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
496 |
forall i = 1 ... n. (inver gs[i] fs[i] Bs1[i] \<and> inver fs[i] gs[i] Bs2[i]))*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
497 |
fun mk_iso Bs1 ss1 Bs2 ss2 fs gs = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
498 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
499 |
val ex_inv_mor = list_exists_free gs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
500 |
(HOLogic.mk_conj (mk_mor Bs2 ss2 Bs1 ss1 gs, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
501 |
Library.foldr1 HOLogic.mk_conj (map2 (curry HOLogic.mk_conj) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
502 |
(map3 mk_inver gs fs Bs1) (map3 mk_inver fs gs Bs2)))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
503 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
504 |
HOLogic.mk_conj (mk_mor Bs1 ss1 Bs2 ss2 fs, ex_inv_mor) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
505 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
506 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
507 |
val iso_alt_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
508 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
509 |
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
|
510 |
[mk_alg passive_UNIVs Bs ss, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
511 |
mk_alg passive_UNIVs B's s's] |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
512 |
val concl = mk_Trueprop_eq (mk_iso Bs ss B's s's fs inv_fs, |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
513 |
HOLogic.mk_conj (mk_mor Bs ss B's s's fs, |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
514 |
Library.foldr1 HOLogic.mk_conj (map3 mk_bij_betw fs Bs B's))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
515 |
in |
51551 | 516 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
517 |
(fold_rev Logic.all (Bs @ ss @ B's @ s's @ fs) (Logic.list_implies (prems, concl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
518 |
(K (mk_iso_alt_tac mor_image_thms mor_inv_thm)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
519 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
520 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
521 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
522 |
val timer = time (timer "Isomorphism definition & thms"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
523 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
524 |
(* algebra copies *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
525 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
526 |
val (copy_alg_thm, ex_copy_alg_thm) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
527 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
528 |
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
|
529 |
(mk_alg passive_UNIVs Bs ss :: map3 mk_bij_betw inv_fs B's Bs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
530 |
val inver_prems = map HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
531 |
(map3 mk_inver inv_fs fs Bs @ map3 mk_inver fs inv_fs B's); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
532 |
val all_prems = prems @ inver_prems; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
533 |
fun mk_s f s mapT y y' = Term.absfree y' (f $ (s $ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
534 |
(Term.list_comb (mapT, passive_ids @ inv_fs) $ y))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
535 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
536 |
val alg = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
537 |
(mk_alg passive_UNIVs B's (map5 mk_s fs ss mapsBsAs yFs yFs')); |
51551 | 538 |
val copy_str_thm = Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
539 |
(fold_rev Logic.all (Bs @ ss @ B's @ inv_fs @ fs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
540 |
(Logic.list_implies (all_prems, alg))) |
53290 | 541 |
(K (mk_copy_str_tac set_mapss alg_def alg_set_thms)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
542 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
543 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
544 |
val iso = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
545 |
(mk_iso B's (map5 mk_s fs ss mapsBsAs yFs yFs') Bs ss inv_fs fs_copy); |
51551 | 546 |
val copy_alg_thm = Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
547 |
(fold_rev Logic.all (Bs @ ss @ B's @ inv_fs @ fs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
548 |
(Logic.list_implies (all_prems, iso))) |
53290 | 549 |
(K (mk_copy_alg_tac set_mapss alg_set_thms mor_def iso_alt_thm copy_str_thm)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
550 |
|> Thm.close_derivation; |
48975
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 ex = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
553 |
(list_exists_free s's |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
554 |
(HOLogic.mk_conj (mk_alg passive_UNIVs B's s's, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
555 |
mk_iso B's s's Bs ss inv_fs fs_copy))); |
51551 | 556 |
val ex_copy_alg_thm = Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
557 |
(fold_rev Logic.all (Bs @ ss @ B's @ inv_fs @ fs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
558 |
(Logic.list_implies (prems, ex))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
559 |
(K (mk_ex_copy_alg_tac n copy_str_thm copy_alg_thm)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
560 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
561 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
562 |
(copy_alg_thm, ex_copy_alg_thm) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
563 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
564 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
565 |
val timer = time (timer "Copy thms"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
566 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
567 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
568 |
(* bounds *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
569 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
570 |
val sum_Card_order = if n = 1 then bd_Card_order else @{thm Card_order_csum}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
571 |
val sum_Cnotzero = if n = 1 then bd_Cnotzero else bd_Cnotzero RS @{thm csum_Cnotzero1}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
572 |
val sum_Cinfinite = if n = 1 then bd_Cinfinite else bd_Cinfinite RS @{thm Cinfinite_csum1}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
573 |
fun mk_set_bd_sums i bd_Card_order bds = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
574 |
if n = 1 then bds |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
575 |
else map (fn thm => bd_Card_order RS mk_ordLeq_csum n i thm) bds; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
576 |
val set_bd_sumss = map3 mk_set_bd_sums 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
|
577 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
578 |
fun mk_in_bd_sum i Co Cnz bd = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
579 |
if n = 1 then bd |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
580 |
else Cnz RS ((Co RS mk_ordLeq_csum n i (Co RS @{thm ordLeq_refl})) RS |
51782
84e7225f5ab6
removed unnecessary assumptions in some theorems about cardinal exponentiation
traytel
parents:
51767
diff
changeset
|
581 |
(bd RS @{thm ordLeq_transitive[OF _ 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
|
582 |
val in_bd_sums = map4 mk_in_bd_sum 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
|
583 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
584 |
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
|
585 |
val suc_bd = mk_cardSuc sum_bd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
586 |
val field_suc_bd = mk_Field suc_bd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
587 |
val suc_bdT = fst (dest_relT (fastype_of suc_bd)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
588 |
fun mk_Asuc_bd [] = mk_cexp ctwo suc_bd |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
589 |
| mk_Asuc_bd As = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
590 |
mk_cexp (mk_csum (Library.foldr1 (uncurry mk_csum) (map mk_card_of As)) ctwo) suc_bd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
591 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
592 |
val suc_bd_Card_order = if n = 1 then bd_Card_order RS @{thm cardSuc_Card_order} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
593 |
else @{thm cardSuc_Card_order[OF Card_order_csum]}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
594 |
val suc_bd_Cinfinite = if n = 1 then bd_Cinfinite RS @{thm Cinfinite_cardSuc} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
595 |
else bd_Cinfinite RS @{thm Cinfinite_cardSuc[OF Cinfinite_csum1]}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
596 |
val suc_bd_Cnotzero = suc_bd_Cinfinite RS @{thm Cinfinite_Cnotzero}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
597 |
val suc_bd_worel = suc_bd_Card_order RS @{thm Card_order_wo_rel} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
598 |
val basis_Asuc = if m = 0 then @{thm ordLeq_refl[OF Card_order_ctwo]} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
599 |
else @{thm ordLeq_csum2[OF Card_order_ctwo]}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
600 |
val Asuc_bd_Cinfinite = suc_bd_Cinfinite RS (basis_Asuc RS @{thm Cinfinite_cexp}); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
601 |
|
51782
84e7225f5ab6
removed unnecessary assumptions in some theorems about cardinal exponentiation
traytel
parents:
51767
diff
changeset
|
602 |
val suc_bd_Asuc_bd = @{thm ordLess_ordLeq_trans[OF ordLess_ctwo_cexp cexp_mono1]} OF |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
603 |
[suc_bd_Card_order, basis_Asuc, suc_bd_Card_order]; |
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 |
val Asuc_bdT = fst (dest_relT (fastype_of (mk_Asuc_bd As))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
606 |
val II_BTs = replicate n (HOLogic.mk_setT Asuc_bdT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
607 |
val II_sTs = map2 (fn Ds => fn bnf => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
608 |
mk_T_of_bnf Ds (passiveAs @ replicate n Asuc_bdT) bnf --> Asuc_bdT) Dss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
609 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
610 |
val (((((((idxs, Asi_name), (idx, idx')), (jdx, jdx')), II_Bs), II_ss), Asuc_fs), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
611 |
names_lthy) = names_lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
612 |
|> mk_Frees "i" (replicate n suc_bdT) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
613 |
||>> (fn ctxt => apfst the_single (mk_fresh_names ctxt 1 "Asi")) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
614 |
||>> yield_singleton (apfst (op ~~) oo mk_Frees' "i") suc_bdT |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
615 |
||>> yield_singleton (apfst (op ~~) oo mk_Frees' "j") suc_bdT |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
616 |
||>> mk_Frees "IIB" II_BTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
617 |
||>> mk_Frees "IIs" II_sTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
618 |
||>> mk_Frees "f" (map (fn T => Asuc_bdT --> T) activeAs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
619 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
620 |
val suc_bd_limit_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
621 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
622 |
val 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
|
623 |
(map (fn idx => HOLogic.mk_mem (idx, field_suc_bd)) idxs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
624 |
fun mk_conjunct idx = HOLogic.mk_conj (mk_not_eq idx jdx, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
625 |
HOLogic.mk_mem (HOLogic.mk_prod (idx, jdx), suc_bd)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
626 |
val concl = HOLogic.mk_Trueprop (mk_Bex field_suc_bd |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
627 |
(Term.absfree jdx' (Library.foldr1 HOLogic.mk_conj (map mk_conjunct idxs)))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
628 |
in |
51551 | 629 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
630 |
(fold_rev Logic.all idxs (Logic.list_implies ([prem], concl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
631 |
(K (mk_bd_limit_tac n suc_bd_Cinfinite)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
632 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
633 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
634 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
635 |
val timer = time (timer "Bounds"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
636 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
637 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
638 |
(* minimal algebra *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
639 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
640 |
fun mk_minG Asi i k = mk_UNION (mk_underS suc_bd $ i) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
641 |
(Term.absfree jdx' (mk_nthN n (Asi $ jdx) k)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
642 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
643 |
fun mk_minH_component As Asi i sets Ts s k = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
644 |
HOLogic.mk_binop @{const_name "sup"} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
645 |
(mk_minG Asi i k, mk_image s $ mk_in (As @ map (mk_minG Asi i) ks) sets Ts); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
646 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
647 |
fun mk_min_algs As ss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
648 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
649 |
val BTs = map (range_type o fastype_of) ss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
650 |
val Ts = map (HOLogic.dest_setT o fastype_of) As @ BTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
651 |
val (Asi, Asi') = `Free (Asi_name, suc_bdT --> |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
652 |
Library.foldr1 HOLogic.mk_prodT (map HOLogic.mk_setT BTs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
653 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
654 |
mk_worec suc_bd (Term.absfree Asi' (Term.absfree idx' (HOLogic.mk_tuple |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
655 |
(map4 (mk_minH_component As Asi idx) (mk_setss Ts) (mk_FTs Ts) ss ks)))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
656 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
657 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
658 |
val (min_algs_thms, min_algs_mono_thms, card_of_min_algs_thm, least_min_algs_thm) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
659 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
660 |
val i_field = HOLogic.mk_mem (idx, field_suc_bd); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
661 |
val min_algs = mk_min_algs As ss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
662 |
val min_algss = map (fn k => mk_nthN n (min_algs $ idx) k) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
663 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
664 |
val concl = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
665 |
(HOLogic.mk_eq (min_algs $ idx, HOLogic.mk_tuple |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
666 |
(map4 (mk_minH_component As min_algs idx) setssAs FTsAs ss ks))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
667 |
val goal = fold_rev Logic.all (idx :: As @ ss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
668 |
(Logic.mk_implies (HOLogic.mk_Trueprop i_field, concl)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
669 |
|
51551 | 670 |
val min_algs_thm = Goal.prove_sorry lthy [] [] goal |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
671 |
(K (mk_min_algs_tac suc_bd_worel in_cong'_thms)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
672 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
673 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
674 |
val min_algs_thms = map (fn k => min_algs_thm RS mk_nthI n k) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
675 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
676 |
fun mk_mono_goal min_alg = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
677 |
fold_rev Logic.all (As @ ss) (HOLogic.mk_Trueprop (mk_relChain suc_bd |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
678 |
(Term.absfree idx' min_alg))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
679 |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
680 |
val monos = |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
681 |
map2 (fn goal => fn min_algs => |
51798 | 682 |
Goal.prove_sorry lthy [] [] goal (K (mk_min_algs_mono_tac lthy min_algs)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
683 |
|> Thm.close_derivation) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
684 |
(map mk_mono_goal min_algss) min_algs_thms; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
685 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
686 |
val Asuc_bd = mk_Asuc_bd As; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
687 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
688 |
fun mk_card_conjunct min_alg = mk_ordLeq (mk_card_of min_alg) Asuc_bd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
689 |
val card_conjunction = Library.foldr1 HOLogic.mk_conj (map mk_card_conjunct min_algss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
690 |
val card_cT = certifyT lthy suc_bdT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
691 |
val card_ct = certify lthy (Term.absfree idx' card_conjunction); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
692 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
693 |
val card_of = singleton (Proof_Context.export names_lthy lthy) |
51551 | 694 |
(Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
695 |
(HOLogic.mk_Trueprop (HOLogic.mk_imp (i_field, card_conjunction))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
696 |
(K (mk_min_algs_card_of_tac card_cT card_ct |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
697 |
m suc_bd_worel min_algs_thms in_bd_sums |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
698 |
sum_Card_order sum_Cnotzero suc_bd_Card_order suc_bd_Cinfinite suc_bd_Cnotzero |
51812 | 699 |
suc_bd_Asuc_bd Asuc_bd_Cinfinite))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
700 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
701 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
702 |
val least_prem = HOLogic.mk_Trueprop (mk_alg As Bs ss); |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
703 |
val least_conjunction = Library.foldr1 HOLogic.mk_conj (map2 mk_leq min_algss Bs); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
704 |
val least_cT = certifyT lthy suc_bdT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
705 |
val least_ct = certify lthy (Term.absfree idx' least_conjunction); |
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 least = singleton (Proof_Context.export names_lthy lthy) |
51551 | 708 |
(Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
709 |
(Logic.mk_implies (least_prem, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
710 |
HOLogic.mk_Trueprop (HOLogic.mk_imp (i_field, least_conjunction)))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
711 |
(K (mk_min_algs_least_tac least_cT least_ct |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
712 |
suc_bd_worel min_algs_thms alg_set_thms))) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
713 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
714 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
715 |
(min_algs_thms, monos, card_of, least) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
716 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
717 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
718 |
val timer = time (timer "min_algs definition & thms"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
719 |
|
53566 | 720 |
val min_alg_binds = mk_internal_bs min_algN; |
721 |
fun min_alg_bind i = nth min_alg_binds (i - 1); |
|
722 |
fun min_alg_name i = Binding.name_of (min_alg_bind i); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
723 |
val min_alg_def_bind = rpair [] o Thm.def_binding o min_alg_bind; |
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 |
fun min_alg_spec i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
726 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
727 |
val min_algT = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
728 |
Library.foldr (op -->) (ATs @ sTs, HOLogic.mk_setT (nth activeAs (i - 1))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
729 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
730 |
val lhs = Term.list_comb (Free (min_alg_name i, min_algT), As @ ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
731 |
val rhs = mk_UNION (field_suc_bd) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
732 |
(Term.absfree idx' (mk_nthN n (mk_min_algs As ss $ idx) i)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
733 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
734 |
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
|
735 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
736 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
737 |
val ((min_alg_frees, (_, min_alg_def_frees)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
738 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
739 |
|> 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
|
740 |
(SOME (min_alg_bind i, NONE, NoSyn), (min_alg_def_bind i, min_alg_spec i))) ks |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
741 |
|>> 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
|
742 |
||> `Local_Theory.restore; |
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 |
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
|
745 |
val min_algs = map (fst o Term.dest_Const o Morphism.term phi) min_alg_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
746 |
val min_alg_defs = map (Morphism.thm phi) min_alg_def_frees; |
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 |
fun mk_min_alg As ss i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
749 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
750 |
val T = HOLogic.mk_setT (range_type (fastype_of (nth ss (i - 1)))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
751 |
val args = As @ ss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
752 |
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
|
753 |
val min_algT = Library.foldr (op -->) (Ts, T); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
754 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
755 |
Term.list_comb (Const (nth min_algs (i - 1), min_algT), args) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
756 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
757 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
758 |
val (alg_min_alg_thm, card_of_min_alg_thms, least_min_alg_thms, mor_incl_min_alg_thm) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
759 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
760 |
val min_algs = map (mk_min_alg As ss) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
761 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
762 |
val goal = fold_rev Logic.all (As @ ss) (HOLogic.mk_Trueprop (mk_alg As min_algs ss)); |
51551 | 763 |
val alg_min_alg = 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
|
764 |
(K (mk_alg_min_alg_tac m alg_def min_alg_defs suc_bd_limit_thm sum_Cinfinite |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
765 |
set_bd_sumss min_algs_thms min_algs_mono_thms)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
766 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
767 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
768 |
val Asuc_bd = mk_Asuc_bd As; |
51551 | 769 |
fun mk_card_of_thm min_alg def = Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
770 |
(fold_rev Logic.all (As @ ss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
771 |
(HOLogic.mk_Trueprop (mk_ordLeq (mk_card_of min_alg) Asuc_bd))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
772 |
(K (mk_card_of_min_alg_tac def card_of_min_algs_thm |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
773 |
suc_bd_Card_order suc_bd_Asuc_bd Asuc_bd_Cinfinite)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
774 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
775 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
776 |
val least_prem = HOLogic.mk_Trueprop (mk_alg As Bs ss); |
51551 | 777 |
fun mk_least_thm min_alg B def = Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
778 |
(fold_rev Logic.all (As @ Bs @ ss) |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
779 |
(Logic.mk_implies (least_prem, HOLogic.mk_Trueprop (mk_leq min_alg B)))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
780 |
(K (mk_least_min_alg_tac def least_min_algs_thm)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
781 |
|> Thm.close_derivation; |
48975
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 leasts = map3 mk_least_thm min_algs Bs min_alg_defs; |
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 |
val incl_prem = HOLogic.mk_Trueprop (mk_alg passive_UNIVs Bs ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
786 |
val incl_min_algs = map (mk_min_alg passive_UNIVs ss) ks; |
51551 | 787 |
val incl = Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
788 |
(fold_rev Logic.all (Bs @ ss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
789 |
(Logic.mk_implies (incl_prem, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
790 |
HOLogic.mk_Trueprop (mk_mor incl_min_algs ss Bs ss active_ids)))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
791 |
(K (EVERY' (rtac mor_incl_thm :: map etac leasts) 1)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
792 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
793 |
in |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
794 |
(alg_min_alg, map2 mk_card_of_thm min_algs min_alg_defs, leasts, incl) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
795 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
796 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
797 |
val timer = time (timer "Minimal algebra definition & thms"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
798 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
799 |
val II_repT = HOLogic.mk_prodT (HOLogic.mk_tupleT II_BTs, HOLogic.mk_tupleT II_sTs); |
53566 | 800 |
val IIT_bind = mk_internal_b IITN; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
801 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
802 |
val ((IIT_name, (IIT_glob_info, IIT_loc_info)), lthy) = |
49835 | 803 |
typedef (IIT_bind, params, NoSyn) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
804 |
(HOLogic.mk_UNIV II_repT) 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
|
805 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
806 |
val IIT = Type (IIT_name, params'); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
807 |
val Abs_IIT = Const (#Abs_name IIT_glob_info, II_repT --> IIT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
808 |
val Rep_IIT = Const (#Rep_name IIT_glob_info, IIT --> II_repT); |
49228 | 809 |
val Abs_IIT_inverse_thm = UNIV_I RS #Abs_inverse IIT_loc_info; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
810 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
811 |
val initT = IIT --> Asuc_bdT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
812 |
val active_initTs = replicate n initT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
813 |
val init_FTs = map2 (fn Ds => mk_T_of_bnf Ds (passiveAs @ active_initTs)) Dss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
814 |
val init_fTs = map (fn T => initT --> T) activeAs; |
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 (((((((iidx, iidx'), init_xs), (init_xFs, init_xFs')), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
817 |
init_fs), init_fs_copy), init_phis), names_lthy) = names_lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
818 |
|> yield_singleton (apfst (op ~~) oo mk_Frees' "i") IIT |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
819 |
||>> mk_Frees "ix" active_initTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
820 |
||>> mk_Frees' "x" init_FTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
821 |
||>> mk_Frees "f" init_fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
822 |
||>> mk_Frees "f" init_fTs |
49463 | 823 |
||>> mk_Frees "P" (replicate n (mk_pred1T initT)); |
48975
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 |
val II = HOLogic.mk_Collect (fst iidx', IIT, list_exists_free (II_Bs @ II_ss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
826 |
(HOLogic.mk_conj (HOLogic.mk_eq (iidx, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
827 |
Abs_IIT $ (HOLogic.mk_prod (HOLogic.mk_tuple II_Bs, HOLogic.mk_tuple II_ss))), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
828 |
mk_alg passive_UNIVs II_Bs II_ss))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
829 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
830 |
val select_Bs = map (mk_nthN n (HOLogic.mk_fst (Rep_IIT $ iidx))) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
831 |
val select_ss = map (mk_nthN n (HOLogic.mk_snd (Rep_IIT $ iidx))) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
832 |
|
53566 | 833 |
val str_init_binds = mk_internal_bs str_initN; |
834 |
fun str_init_bind i = nth str_init_binds (i - 1); |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
835 |
val str_init_name = Binding.name_of o str_init_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
836 |
val str_init_def_bind = rpair [] o Thm.def_binding o str_init_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
837 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
838 |
fun str_init_spec i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
839 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
840 |
val T = nth init_FTs (i - 1); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
841 |
val init_xF = nth init_xFs (i - 1) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
842 |
val select_s = nth select_ss (i - 1); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
843 |
val map = mk_map_of_bnf (nth Dss (i - 1)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
844 |
(passiveAs @ active_initTs) (passiveAs @ replicate n Asuc_bdT) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
845 |
(nth bnfs (i - 1)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
846 |
val map_args = passive_ids @ replicate n (mk_rapp iidx Asuc_bdT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
847 |
val str_initT = T --> IIT --> Asuc_bdT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
848 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
849 |
val lhs = Term.list_comb (Free (str_init_name i, str_initT), [init_xF, iidx]); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
850 |
val rhs = select_s $ (Term.list_comb (map, map_args) $ init_xF); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
851 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
852 |
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
|
853 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
854 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
855 |
val ((str_init_frees, (_, str_init_def_frees)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
856 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
857 |
|> 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
|
858 |
(SOME (str_init_bind i, NONE, NoSyn), (str_init_def_bind i, str_init_spec i))) ks |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
859 |
|>> 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
|
860 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
861 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
862 |
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
|
863 |
val str_inits = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
864 |
map (Term.subst_atomic_types (map (`(Morphism.typ phi)) params') o Morphism.term phi) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
865 |
str_init_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
866 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
867 |
val str_init_defs = map (Morphism.thm phi) str_init_def_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
868 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
869 |
val car_inits = map (mk_min_alg passive_UNIVs str_inits) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
870 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
871 |
(*TODO: replace with instantiate? (problem: figure out right type instantiation)*) |
51551 | 872 |
val alg_init_thm = Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
873 |
(HOLogic.mk_Trueprop (mk_alg passive_UNIVs car_inits str_inits)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
874 |
(K (rtac alg_min_alg_thm 1)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
875 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
876 |
|
51551 | 877 |
val alg_select_thm = Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
878 |
(HOLogic.mk_Trueprop (mk_Ball II |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
879 |
(Term.absfree iidx' (mk_alg passive_UNIVs select_Bs select_ss)))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
880 |
(mk_alg_select_tac Abs_IIT_inverse_thm) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
881 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
882 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
883 |
val mor_select_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
884 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
885 |
val alg_prem = HOLogic.mk_Trueprop (mk_alg passive_UNIVs Bs ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
886 |
val i_prem = HOLogic.mk_Trueprop (HOLogic.mk_mem (iidx, II)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
887 |
val mor_prem = HOLogic.mk_Trueprop (mk_mor select_Bs select_ss Bs ss Asuc_fs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
888 |
val prems = [alg_prem, i_prem, mor_prem]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
889 |
val concl = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
890 |
(mk_mor car_inits str_inits Bs ss |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
891 |
(map (fn f => HOLogic.mk_comp (f, mk_rapp iidx Asuc_bdT)) Asuc_fs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
892 |
in |
51551 | 893 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
894 |
(fold_rev Logic.all (iidx :: Bs @ ss @ Asuc_fs) (Logic.list_implies (prems, concl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
895 |
(K (mk_mor_select_tac mor_def mor_cong_thm mor_comp_thm mor_incl_min_alg_thm alg_def |
53290 | 896 |
alg_select_thm alg_set_thms set_mapss str_init_defs)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
897 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
898 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
899 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
900 |
val (init_ex_mor_thm, init_unique_mor_thms) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
901 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
902 |
val prem = HOLogic.mk_Trueprop (mk_alg passive_UNIVs Bs ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
903 |
val concl = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
904 |
(list_exists_free init_fs (mk_mor car_inits str_inits Bs ss init_fs)); |
51551 | 905 |
val ex_mor = Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
906 |
(fold_rev Logic.all (Bs @ ss) (Logic.mk_implies (prem, concl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
907 |
(mk_init_ex_mor_tac Abs_IIT_inverse_thm ex_copy_alg_thm alg_min_alg_thm |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
908 |
card_of_min_alg_thms mor_comp_thm mor_select_thm mor_incl_min_alg_thm) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
909 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
910 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
911 |
val prems = map2 (HOLogic.mk_Trueprop oo curry HOLogic.mk_mem) init_xs car_inits |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
912 |
val mor_prems = map HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
913 |
[mk_mor car_inits str_inits Bs ss init_fs, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
914 |
mk_mor car_inits str_inits Bs ss init_fs_copy]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
915 |
fun mk_fun_eq f g x = HOLogic.mk_eq (f $ x, g $ x); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
916 |
val unique = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
917 |
(Library.foldr1 HOLogic.mk_conj (map3 mk_fun_eq init_fs init_fs_copy init_xs)); |
51551 | 918 |
val unique_mor = Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
919 |
(fold_rev Logic.all (init_xs @ Bs @ ss @ init_fs @ init_fs_copy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
920 |
(Logic.list_implies (prems @ mor_prems, unique))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
921 |
(K (mk_init_unique_mor_tac m alg_def alg_init_thm least_min_alg_thms |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
922 |
in_mono'_thms alg_set_thms morE_thms map_cong0s)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
923 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
924 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
925 |
(ex_mor, split_conj_thm unique_mor) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
926 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
927 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
928 |
val init_setss = mk_setss (passiveAs @ active_initTs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
929 |
val active_init_setss = map (drop m) init_setss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
930 |
val init_ins = map2 (fn sets => mk_in (passive_UNIVs @ car_inits) sets) init_setss init_FTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
931 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
932 |
fun mk_closed phis = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
933 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
934 |
fun mk_conjunct phi str_init init_sets init_in x x' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
935 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
936 |
val prem = Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
937 |
(map2 (fn set => mk_Ball (set $ x)) init_sets phis); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
938 |
val concl = phi $ (str_init $ x); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
939 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
940 |
mk_Ball init_in (Term.absfree x' (HOLogic.mk_imp (prem, concl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
941 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
942 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
943 |
Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
944 |
(map6 mk_conjunct phis str_inits active_init_setss init_ins init_xFs init_xFs') |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
945 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
946 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
947 |
val init_induct_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
948 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
949 |
val prem = HOLogic.mk_Trueprop (mk_closed init_phis); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
950 |
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
|
951 |
(map2 mk_Ball car_inits init_phis)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
952 |
in |
51551 | 953 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
954 |
(fold_rev Logic.all init_phis (Logic.mk_implies (prem, concl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
955 |
(K (mk_init_induct_tac m alg_def alg_init_thm least_min_alg_thms alg_set_thms)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
956 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
957 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
958 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
959 |
val timer = time (timer "Initiality definition & thms"); |
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 |
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
|
962 |
lthy |
53566 | 963 |
|> fold_map3 (fn b => fn mx => fn car_init => |
964 |
typedef (Binding.conceal b, params, mx) car_init NONE |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
965 |
(EVERY' [rtac ssubst, rtac @{thm ex_in_conv}, resolve_tac alg_not_empty_thms, |
49169 | 966 |
rtac alg_init_thm] 1)) bs mixfixes car_inits |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
967 |
|>> 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
|
968 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
969 |
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
|
970 |
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
|
971 |
val Ts' = mk_Ts passiveBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
972 |
val Rep_Ts = map2 (fn info => fn T => Const (#Rep_name info, T --> initT)) T_glob_infos Ts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
973 |
val Abs_Ts = map2 (fn info => fn T => Const (#Abs_name info, initT --> T)) T_glob_infos Ts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
974 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
975 |
val type_defs = map #type_definition T_loc_infos; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
976 |
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
|
977 |
val Rep_casess = map #Rep_cases T_loc_infos; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
978 |
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
|
979 |
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
|
980 |
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
|
981 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
982 |
fun mk_inver_thm mk_tac rep abs X thm = |
51551 | 983 |
Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
984 |
(HOLogic.mk_Trueprop (mk_inver rep abs X)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
985 |
(K (EVERY' [rtac ssubst, rtac @{thm inver_def}, rtac ballI, mk_tac thm] 1)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
986 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
987 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
988 |
val inver_Reps = map4 (mk_inver_thm rtac) Abs_Ts Rep_Ts (map HOLogic.mk_UNIV Ts) Rep_inverses; |
49227 | 989 |
val inver_Abss = map4 (mk_inver_thm etac) Rep_Ts Abs_Ts car_inits Abs_inverses; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
990 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
991 |
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
|
992 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
993 |
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
|
994 |
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
|
995 |
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
|
996 |
fun mk_set_Ts T = passiveAs @ replicate n (HOLogic.mk_setT T); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
997 |
val setFTss = map (mk_FTs o mk_set_Ts) passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
998 |
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
|
999 |
val FTs'_setss = mk_setss (passiveBs @ Ts'); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1000 |
val map_FT_inits = map2 (fn Ds => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1001 |
mk_map_of_bnf Ds (passiveAs @ Ts) (passiveAs @ active_initTs)) Dss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1002 |
val fTs = map2 (curry op -->) Ts activeAs; |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1003 |
val foldT = Library.foldr1 HOLogic.mk_prodT (map2 (curry op -->) Ts activeAs); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1004 |
val rec_sTs = map (Term.typ_subst_atomic (activeBs ~~ Ts)) prod_sTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1005 |
val rec_maps = map (Term.subst_atomic_types (activeBs ~~ Ts)) map_fsts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1006 |
val rec_maps_rev = map (Term.subst_atomic_types (activeBs ~~ Ts)) map_fsts_rev; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1007 |
val rec_fsts = map (Term.subst_atomic_types (activeBs ~~ Ts)) fsts; |
51739
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1008 |
val rec_UNIVs = map2 (HOLogic.mk_UNIV oo curry HOLogic.mk_prodT) Ts activeAs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1009 |
|
49331 | 1010 |
val (((((((((Izs1, Izs1'), (Izs2, Izs2')), (xFs, xFs')), yFs), (AFss, AFss')), |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1011 |
(fold_f, fold_f')), fs), rec_ss), names_lthy) = names_lthy |
49331 | 1012 |
|> mk_Frees' "z1" Ts |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1013 |
||>> mk_Frees' "z2" Ts' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1014 |
||>> mk_Frees' "x" FTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1015 |
||>> mk_Frees "y" FTs' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1016 |
||>> mk_Freess' "z" setFTss |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1017 |
||>> yield_singleton (apfst (op ~~) oo mk_Frees' "f") foldT |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1018 |
||>> mk_Frees "f" fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1019 |
||>> mk_Frees "s" rec_sTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1020 |
|
49331 | 1021 |
val Izs = map2 retype_free Ts zs; |
49463 | 1022 |
val phis = map2 retype_free (map mk_pred1T Ts) init_phis; |
1023 |
val phi2s = map2 retype_free (map2 mk_pred2T Ts Ts') init_phis; |
|
49330
276ff43ee0b1
reuse generated names (they look better + slightly more efficient)
blanchet
parents:
49327
diff
changeset
|
1024 |
|
54492 | 1025 |
fun ctor_bind i = nth external_bs (i - 1) |> Binding.prefix_name (ctorN ^ "_"); |
49501 | 1026 |
val ctor_name = Binding.name_of o ctor_bind; |
53566 | 1027 |
val ctor_def_bind = rpair [] o Binding.conceal o Thm.def_binding o ctor_bind; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1028 |
|
49501 | 1029 |
fun ctor_spec i abs str map_FT_init x x' = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1030 |
let |
49501 | 1031 |
val ctorT = nth FTs (i - 1) --> nth Ts (i - 1); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1032 |
|
49501 | 1033 |
val lhs = Free (ctor_name i, ctorT); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1034 |
val rhs = Term.absfree x' (abs $ (str $ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1035 |
(Term.list_comb (map_FT_init, map HOLogic.id_const passiveAs @ Rep_Ts) $ x))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1036 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1037 |
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
|
1038 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1039 |
|
49501 | 1040 |
val ((ctor_frees, (_, ctor_def_frees)), (lthy, lthy_old)) = |
49311 | 1041 |
lthy |
49458 | 1042 |
|> fold_map6 (fn i => fn abs => fn str => fn mapx => fn x => fn x' => |
49311 | 1043 |
Specification.definition |
49501 | 1044 |
(SOME (ctor_bind i, NONE, NoSyn), (ctor_def_bind i, ctor_spec i abs str mapx x x'))) |
49311 | 1045 |
ks Abs_Ts str_inits map_FT_inits xFs xFs' |
1046 |
|>> apsnd split_list o split_list |
|
1047 |
||> `Local_Theory.restore; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1048 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1049 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
49501 | 1050 |
fun mk_ctors passive = |
49185
073d7d1b7488
respect order of/additional type variables supplied by the user in fixed point constructions;
traytel
parents:
49176
diff
changeset
|
1051 |
map (Term.subst_atomic_types (map (Morphism.typ phi) params' ~~ (mk_params passive)) o |
49501 | 1052 |
Morphism.term phi) ctor_frees; |
1053 |
val ctors = mk_ctors passiveAs; |
|
1054 |
val ctor's = mk_ctors passiveBs; |
|
1055 |
val ctor_defs = map (Morphism.thm phi) ctor_def_frees; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1056 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1057 |
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
|
1058 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1059 |
val copy = alg_init_thm RS copy_alg_thm; |
49227 | 1060 |
fun mk_bij inj Rep cases = @{thm bij_betwI'} OF [inj, Rep, cases]; |
1061 |
val bijs = map3 mk_bij Rep_injects Reps Rep_casess; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1062 |
val mor_Rep = |
51551 | 1063 |
Goal.prove_sorry lthy [] [] |
49501 | 1064 |
(HOLogic.mk_Trueprop (mk_mor UNIVs ctors car_inits str_inits Rep_Ts)) |
1065 |
(mk_mor_Rep_tac ctor_defs copy bijs inver_Abss inver_Reps) |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1066 |
|> Thm.close_derivation; |
48975
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 |
val inv = mor_inv_thm OF [mor_Rep, talg_thm, alg_init_thm]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1069 |
val mor_Abs = |
51551 | 1070 |
Goal.prove_sorry lthy [] [] |
49501 | 1071 |
(HOLogic.mk_Trueprop (mk_mor car_inits str_inits UNIVs ctors Abs_Ts)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1072 |
(K (mk_mor_Abs_tac inv inver_Abss inver_Reps)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1073 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1074 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1075 |
(mor_Rep, mor_Abs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1076 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1077 |
|
49501 | 1078 |
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
|
1079 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1080 |
val fold_fun = Term.absfree fold_f' |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1081 |
(mk_mor UNIVs ctors active_UNIVs ss (map (mk_nthN n fold_f) ks)); |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1082 |
val foldx = HOLogic.choice_const foldT $ fold_fun; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1083 |
|
54492 | 1084 |
fun fold_bind i = nth external_bs (i - 1) |> Binding.prefix_name (ctor_foldN ^ "_"); |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1085 |
val fold_name = Binding.name_of o fold_bind; |
53566 | 1086 |
val fold_def_bind = rpair [] o Binding.conceal o Thm.def_binding o fold_bind; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1087 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1088 |
fun fold_spec i T AT = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1089 |
let |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1090 |
val foldT = Library.foldr (op -->) (sTs, T --> AT); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1091 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1092 |
val lhs = Term.list_comb (Free (fold_name i, foldT), ss); |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1093 |
val rhs = mk_nthN n foldx i; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1094 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1095 |
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
|
1096 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1097 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1098 |
val ((fold_frees, (_, fold_def_frees)), (lthy, lthy_old)) = |
49311 | 1099 |
lthy |
1100 |
|> fold_map3 (fn i => fn T => fn AT => |
|
1101 |
Specification.definition |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1102 |
(SOME (fold_bind i, NONE, NoSyn), (fold_def_bind i, fold_spec i T AT))) |
49311 | 1103 |
ks Ts activeAs |
1104 |
|>> apsnd split_list o split_list |
|
1105 |
||> `Local_Theory.restore; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1106 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1107 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1108 |
val folds = map (Morphism.term phi) fold_frees; |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1109 |
val fold_names = map (fst o dest_Const) folds; |
52731 | 1110 |
fun mk_folds passives actives = |
1111 |
map3 (fn name => fn T => fn active => |
|
1112 |
Const (name, Library.foldr (op -->) |
|
52923 | 1113 |
(map2 (curry op -->) (mk_FTs (passives @ actives)) actives, T --> active))) |
52731 | 1114 |
fold_names (mk_Ts passives) actives; |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1115 |
fun mk_fold Ts ss i = Term.list_comb (Const (nth fold_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
|
1116 |
(map fastype_of ss, nth Ts (i - 1) --> range_type (fastype_of (nth ss (i - 1))))), ss); |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1117 |
val fold_defs = map (Morphism.thm phi) fold_def_frees; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1118 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1119 |
val mor_fold_thm = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1120 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1121 |
val ex_mor = talg_thm RS init_ex_mor_thm; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1122 |
val mor_cong = mor_cong_thm OF (map (mk_nth_conv n) ks); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1123 |
val mor_comp = mor_Rep_thm RS mor_comp_thm; |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1124 |
val cT = certifyT lthy foldT; |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1125 |
val ct = certify lthy fold_fun |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1126 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1127 |
singleton (Proof_Context.export names_lthy lthy) |
51551 | 1128 |
(Goal.prove_sorry lthy [] [] |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1129 |
(HOLogic.mk_Trueprop (mk_mor UNIVs ctors active_UNIVs ss (map (mk_fold Ts ss) ks))) |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1130 |
(K (mk_mor_fold_tac cT ct fold_defs ex_mor (mor_comp RS mor_cong)))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1131 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1132 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1133 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1134 |
val ctor_fold_thms = map (fn morE => rule_by_tactic lthy |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1135 |
((rtac CollectI THEN' CONJ_WRAP' (K (rtac @{thm subset_UNIV})) (1 upto m + n)) 1) |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1136 |
(mor_fold_thm RS morE)) morE_thms; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1137 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1138 |
val (fold_unique_mor_thms, fold_unique_mor_thm) = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1139 |
let |
49501 | 1140 |
val prem = HOLogic.mk_Trueprop (mk_mor UNIVs ctors active_UNIVs ss fs); |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1141 |
fun mk_fun_eq f i = HOLogic.mk_eq (f, mk_fold Ts ss i); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1142 |
val unique = HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 mk_fun_eq fs ks)); |
51551 | 1143 |
val unique_mor = Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1144 |
(fold_rev Logic.all (ss @ fs) (Logic.mk_implies (prem, unique))) |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1145 |
(K (mk_fold_unique_mor_tac type_defs init_unique_mor_thms Reps |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1146 |
mor_comp_thm mor_Abs_thm mor_fold_thm)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1147 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1148 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1149 |
`split_conj_thm unique_mor |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1150 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1151 |
|
52911 | 1152 |
val (ctor_fold_unique_thms, ctor_fold_unique_thm) = |
1153 |
`split_conj_thm (mk_conjIN n RS |
|
52904 | 1154 |
(mor_UNIV_thm RS iffD2 RS fold_unique_mor_thm)) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1155 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1156 |
val fold_ctor_thms = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1157 |
map (fn thm => (mor_incl_thm OF replicate n @{thm subset_UNIV}) RS thm RS sym) |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1158 |
fold_unique_mor_thms; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1159 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1160 |
val ctor_o_fold_thms = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1161 |
let |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1162 |
val mor = mor_comp_thm OF [mor_fold_thm, mor_str_thm]; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1163 |
in |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1164 |
map2 (fn unique => fn fold_ctor => |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1165 |
trans OF [mor RS unique, fold_ctor]) fold_unique_mor_thms fold_ctor_thms |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1166 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1167 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1168 |
val timer = time (timer "fold definitions & thms"); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1169 |
|
49501 | 1170 |
val map_ctors = 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
|
1171 |
Term.list_comb (mk_map_of_bnf Ds (passiveAs @ FTs) (passiveAs @ Ts) bnf, |
49501 | 1172 |
map HOLogic.id_const passiveAs @ ctors)) Dss bnfs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1173 |
|
54492 | 1174 |
fun dtor_bind i = nth external_bs (i - 1) |> Binding.prefix_name (dtorN ^ "_"); |
49501 | 1175 |
val dtor_name = Binding.name_of o dtor_bind; |
53566 | 1176 |
val dtor_def_bind = rpair [] o Binding.conceal o Thm.def_binding o dtor_bind; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1177 |
|
49501 | 1178 |
fun dtor_spec i FT T = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1179 |
let |
49501 | 1180 |
val dtorT = T --> FT; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1181 |
|
49501 | 1182 |
val lhs = Free (dtor_name i, dtorT); |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1183 |
val rhs = mk_fold Ts map_ctors i; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1184 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1185 |
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
|
1186 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1187 |
|
49501 | 1188 |
val ((dtor_frees, (_, dtor_def_frees)), (lthy, lthy_old)) = |
49311 | 1189 |
lthy |
1190 |
|> fold_map3 (fn i => fn FT => fn T => |
|
1191 |
Specification.definition |
|
49501 | 1192 |
(SOME (dtor_bind i, NONE, NoSyn), (dtor_def_bind i, dtor_spec i FT T))) ks FTs Ts |
49311 | 1193 |
|>> apsnd split_list o split_list |
1194 |
||> `Local_Theory.restore; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1195 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1196 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
49501 | 1197 |
fun mk_dtors params = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1198 |
map (Term.subst_atomic_types (map (Morphism.typ phi) params' ~~ params) o Morphism.term phi) |
49501 | 1199 |
dtor_frees; |
1200 |
val dtors = mk_dtors params'; |
|
1201 |
val dtor_defs = map (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
|
1202 |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1203 |
val ctor_o_dtor_thms = map2 (fold_thms lthy o single) dtor_defs ctor_o_fold_thms; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1204 |
|
49501 | 1205 |
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
|
1206 |
let |
49501 | 1207 |
fun mk_goal dtor ctor FT = |
1208 |
mk_Trueprop_eq (HOLogic.mk_comp (dtor, ctor), HOLogic.id_const FT); |
|
1209 |
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
|
1210 |
in |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
1211 |
map5 (fn goal => fn dtor_def => fn foldx => fn map_comp_id => fn map_cong0L => |
51551 | 1212 |
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
|
1213 |
(K (mk_dtor_o_ctor_tac dtor_def foldx map_comp_id map_cong0L ctor_o_fold_thms)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1214 |
|> Thm.close_derivation) |
51761
4c9f08836d87
renamed "map_cong" axiom to "map_cong0" in preparation for real "map_cong"
blanchet
parents:
51758
diff
changeset
|
1215 |
goals dtor_defs ctor_fold_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
|
1216 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1217 |
|
49501 | 1218 |
val dtor_ctor_thms = map (fn thm => thm RS @{thm pointfree_idE}) dtor_o_ctor_thms; |
1219 |
val ctor_dtor_thms = map (fn thm => thm RS @{thm pointfree_idE}) ctor_o_dtor_thms; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1220 |
|
49501 | 1221 |
val bij_dtor_thms = |
1222 |
map2 (fn thm1 => fn thm2 => @{thm o_bij} OF [thm1, thm2]) ctor_o_dtor_thms dtor_o_ctor_thms; |
|
1223 |
val inj_dtor_thms = map (fn thm => thm RS @{thm bij_is_inj}) bij_dtor_thms; |
|
1224 |
val surj_dtor_thms = map (fn thm => thm RS @{thm bij_is_surj}) bij_dtor_thms; |
|
1225 |
val dtor_nchotomy_thms = map (fn thm => thm RS @{thm surjD}) surj_dtor_thms; |
|
1226 |
val dtor_inject_thms = map (fn thm => thm RS @{thm inj_eq}) inj_dtor_thms; |
|
1227 |
val dtor_exhaust_thms = map (fn thm => thm RS exE) dtor_nchotomy_thms; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1228 |
|
49501 | 1229 |
val bij_ctor_thms = |
1230 |
map2 (fn thm1 => fn thm2 => @{thm o_bij} OF [thm1, thm2]) dtor_o_ctor_thms ctor_o_dtor_thms; |
|
1231 |
val inj_ctor_thms = map (fn thm => thm RS @{thm bij_is_inj}) bij_ctor_thms; |
|
1232 |
val surj_ctor_thms = map (fn thm => thm RS @{thm bij_is_surj}) bij_ctor_thms; |
|
1233 |
val ctor_nchotomy_thms = map (fn thm => thm RS @{thm surjD}) surj_ctor_thms; |
|
1234 |
val ctor_inject_thms = map (fn thm => thm RS @{thm inj_eq}) inj_ctor_thms; |
|
1235 |
val ctor_exhaust_thms = map (fn thm => thm RS exE) ctor_nchotomy_thms; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1236 |
|
49501 | 1237 |
val timer = time (timer "dtor definitions & thms"); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1238 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1239 |
val fst_rec_pair_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1240 |
let |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1241 |
val mor = mor_comp_thm OF [mor_fold_thm, mor_convol_thm]; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1242 |
in |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1243 |
map2 (fn unique => fn fold_ctor => |
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1244 |
trans OF [mor RS unique, fold_ctor]) fold_unique_mor_thms fold_ctor_thms |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1245 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1246 |
|
54492 | 1247 |
fun rec_bind i = nth external_bs (i - 1) |> Binding.prefix_name (ctor_recN ^ "_"); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1248 |
val rec_name = Binding.name_of o rec_bind; |
53566 | 1249 |
val rec_def_bind = rpair [] o Binding.conceal o Thm.def_binding o rec_bind; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1250 |
|
51739
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1251 |
val rec_strs = |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1252 |
map3 (fn ctor => fn prod_s => fn mapx => |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1253 |
mk_convol (HOLogic.mk_comp (ctor, Term.list_comb (mapx, passive_ids @ rec_fsts)), prod_s)) |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1254 |
ctors rec_ss rec_maps; |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1255 |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1256 |
fun rec_spec i T AT = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1257 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1258 |
val recT = Library.foldr (op -->) (rec_sTs, T --> AT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1259 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1260 |
val lhs = Term.list_comb (Free (rec_name i, recT), rec_ss); |
51739
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1261 |
val rhs = HOLogic.mk_comp (snd_const (HOLogic.mk_prodT (T, AT)), mk_fold Ts rec_strs i); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1262 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1263 |
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
|
1264 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1265 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1266 |
val ((rec_frees, (_, rec_def_frees)), (lthy, lthy_old)) = |
49311 | 1267 |
lthy |
1268 |
|> fold_map3 (fn i => fn T => fn AT => |
|
1269 |
Specification.definition |
|
1270 |
(SOME (rec_bind i, NONE, NoSyn), (rec_def_bind i, rec_spec i T AT))) |
|
1271 |
ks Ts activeAs |
|
1272 |
|>> apsnd split_list o split_list |
|
1273 |
||> `Local_Theory.restore; |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1274 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1275 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
49176 | 1276 |
val recs = map (Morphism.term phi) rec_frees; |
1277 |
val rec_names = map (fst o dest_Const) recs; |
|
1278 |
fun mk_rec ss i = Term.list_comb (Const (nth rec_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
|
1279 |
(map fastype_of ss, nth Ts (i - 1) --> range_type (fastype_of (nth ss (i - 1))))), ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1280 |
val rec_defs = map (Morphism.thm phi) rec_def_frees; |
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 convols = map2 (fn T => fn i => mk_convol (HOLogic.id_const T, mk_rec rec_ss i)) Ts ks; |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1283 |
val ctor_rec_thms = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1284 |
let |
49501 | 1285 |
fun mk_goal i rec_s rec_map ctor x = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1286 |
let |
49501 | 1287 |
val lhs = mk_rec rec_ss i $ (ctor $ x); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1288 |
val rhs = rec_s $ (Term.list_comb (rec_map, passive_ids @ convols) $ x); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1289 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1290 |
fold_rev Logic.all (x :: rec_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
|
1291 |
end; |
49501 | 1292 |
val goals = map5 mk_goal ks rec_ss rec_maps_rev ctors xFs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1293 |
in |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1294 |
map2 (fn goal => fn foldx => |
51551 | 1295 |
Goal.prove_sorry lthy [] [] goal (mk_rec_tac rec_defs foldx fst_rec_pair_thms) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1296 |
|> Thm.close_derivation) |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1297 |
goals ctor_fold_thms |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1298 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1299 |
|
51739
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1300 |
val rec_unique_mor_thm = |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1301 |
let |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1302 |
val id_fs = map2 (fn T => fn f => mk_convol (HOLogic.id_const T, f)) Ts fs; |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1303 |
val prem = HOLogic.mk_Trueprop (mk_mor UNIVs ctors rec_UNIVs rec_strs id_fs); |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1304 |
fun mk_fun_eq f i = HOLogic.mk_eq (f, mk_rec rec_ss i); |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1305 |
val unique = HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 mk_fun_eq fs ks)); |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1306 |
in |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1307 |
Goal.prove_sorry lthy [] [] |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1308 |
(fold_rev Logic.all (rec_ss @ fs) (Logic.mk_implies (prem, unique))) |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1309 |
(mk_rec_unique_mor_tac rec_defs fst_rec_pair_thms fold_unique_mor_thm) |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1310 |
|> Thm.close_derivation |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1311 |
end; |
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1312 |
|
52913
2d2d9d1de1a9
theorems relating {c,d}tor_(un)fold/(co)rec and {c,d}tor_map
traytel
parents:
52911
diff
changeset
|
1313 |
val (ctor_rec_unique_thms, ctor_rec_unique_thm) = |
2d2d9d1de1a9
theorems relating {c,d}tor_(un)fold/(co)rec and {c,d}tor_map
traytel
parents:
52911
diff
changeset
|
1314 |
`split_conj_thm (split_conj_prems n |
52904 | 1315 |
(mor_UNIV_thm RS iffD2 RS rec_unique_mor_thm) |
51739
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1316 |
|> Local_Defs.unfold lthy (@{thms convol_o o_id id_o o_assoc[symmetric] fst_convol} @ |
53270 | 1317 |
map_id0s @ sym_map_comps) OF replicate n @{thm arg_cong2[of _ _ _ _ convol, OF refl]}); |
51739
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1318 |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1319 |
val timer = time (timer "rec definitions & thms"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1320 |
|
49501 | 1321 |
val (ctor_induct_thm, induct_params) = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1322 |
let |
49501 | 1323 |
fun mk_prem phi ctor sets x = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1324 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1325 |
fun mk_IH phi set z = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1326 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1327 |
val prem = HOLogic.mk_Trueprop (HOLogic.mk_mem (z, set $ x)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1328 |
val concl = HOLogic.mk_Trueprop (phi $ z); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1329 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1330 |
Logic.all z (Logic.mk_implies (prem, concl)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1331 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1332 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1333 |
val IHs = map3 mk_IH phis (drop m sets) Izs; |
49501 | 1334 |
val concl = HOLogic.mk_Trueprop (phi $ (ctor $ x)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1335 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1336 |
Logic.all x (Logic.list_implies (IHs, concl)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1337 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1338 |
|
49501 | 1339 |
val prems = map4 mk_prem phis ctors FTs_setss xFs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1340 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1341 |
fun mk_concl phi z = phi $ z; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1342 |
val concl = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1343 |
HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 mk_concl phis Izs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1344 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1345 |
val goal = Logic.list_implies (prems, concl); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1346 |
in |
51551 | 1347 |
(Goal.prove_sorry lthy [] [] |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1348 |
(fold_rev Logic.all (phis @ Izs) goal) |
53290 | 1349 |
(K (mk_ctor_induct_tac lthy m set_mapss init_induct_thm morE_thms mor_Abs_thm |
49227 | 1350 |
Rep_inverses Abs_inverses Reps)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1351 |
|> Thm.close_derivation, |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1352 |
rev (Term.add_tfrees goal [])) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1353 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1354 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1355 |
val cTs = map (SOME o certifyT lthy o TFree) induct_params; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1356 |
|
49501 | 1357 |
val weak_ctor_induct_thms = |
54487 | 1358 |
let fun insts i = (replicate (i - 1) TrueI) @ (asm_rl :: replicate (n - i) TrueI); |
49501 | 1359 |
in map (fn i => (ctor_induct_thm OF insts i) RS mk_conjunctN n i) ks end; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1360 |
|
49501 | 1361 |
val (ctor_induct2_thm, induct2_params) = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1362 |
let |
49501 | 1363 |
fun mk_prem phi ctor ctor' sets sets' x y = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1364 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1365 |
fun mk_IH phi set set' z1 z2 = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1366 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1367 |
val prem1 = HOLogic.mk_Trueprop (HOLogic.mk_mem (z1, (set $ x))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1368 |
val prem2 = HOLogic.mk_Trueprop (HOLogic.mk_mem (z2, (set' $ y))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1369 |
val concl = HOLogic.mk_Trueprop (phi $ z1 $ z2); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1370 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1371 |
fold_rev Logic.all [z1, z2] (Logic.list_implies ([prem1, prem2], concl)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1372 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1373 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1374 |
val IHs = map5 mk_IH phi2s (drop m sets) (drop m sets') Izs1 Izs2; |
49501 | 1375 |
val concl = HOLogic.mk_Trueprop (phi $ (ctor $ x) $ (ctor' $ y)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1376 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1377 |
fold_rev Logic.all [x, y] (Logic.list_implies (IHs, concl)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1378 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1379 |
|
49501 | 1380 |
val prems = map7 mk_prem phi2s ctors ctor's FTs_setss FTs'_setss xFs yFs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1381 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1382 |
fun mk_concl phi z1 z2 = phi $ z1 $ z2; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1383 |
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
|
1384 |
(map3 mk_concl phi2s Izs1 Izs2)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1385 |
fun mk_t phi (z1, z1') (z2, z2') = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1386 |
Term.absfree z1' (HOLogic.mk_all (fst z2', snd z2', phi $ z1 $ z2)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1387 |
val cts = map3 (SOME o certify lthy ooo mk_t) phi2s (Izs1 ~~ Izs1') (Izs2 ~~ Izs2'); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1388 |
val goal = Logic.list_implies (prems, concl); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1389 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1390 |
(singleton (Proof_Context.export names_lthy lthy) |
51551 | 1391 |
(Goal.prove_sorry lthy [] [] goal |
49501 | 1392 |
(mk_ctor_induct2_tac cTs cts ctor_induct_thm weak_ctor_induct_thms)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1393 |
|> Thm.close_derivation, |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1394 |
rev (Term.add_tfrees goal [])) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1395 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1396 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1397 |
val timer = time (timer "induction"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1398 |
|
53270 | 1399 |
fun mk_ctor_map_DEADID_thm ctor_inject map_id0 = |
1400 |
trans OF [id_apply, iffD2 OF [ctor_inject, map_id0 RS sym]]; |
|
51917
f964a9887713
store proper theorems even for fixed points that have no passive live variables
traytel
parents:
51894
diff
changeset
|
1401 |
|
f964a9887713
store proper theorems even for fixed points that have no passive live variables
traytel
parents:
51894
diff
changeset
|
1402 |
fun mk_ctor_Irel_DEADID_thm ctor_inject bnf = |
f964a9887713
store proper theorems even for fixed points that have no passive live variables
traytel
parents:
51894
diff
changeset
|
1403 |
trans OF [ctor_inject, rel_eq_of_bnf bnf RS @{thm predicate2_eqD} RS sym]; |
f964a9887713
store proper theorems even for fixed points that have no passive live variables
traytel
parents:
51894
diff
changeset
|
1404 |
|
51918 | 1405 |
val IphiTs = map2 mk_pred2T passiveAs passiveBs; |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1406 |
val Ipsi1Ts = map2 mk_pred2T passiveAs passiveCs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1407 |
val Ipsi2Ts = map2 mk_pred2T passiveCs passiveBs; |
52731 | 1408 |
val activephiTs = map2 mk_pred2T activeAs activeBs; |
51918 | 1409 |
val activeIphiTs = map2 mk_pred2T Ts Ts'; |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1410 |
val (((((Iphis, Ipsi1s), Ipsi2s), activephis), activeIphis), names_lthy) = names_lthy |
51918 | 1411 |
|> mk_Frees "R" IphiTs |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1412 |
||>> mk_Frees "R" Ipsi1Ts |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1413 |
||>> mk_Frees "Q" Ipsi2Ts |
52731 | 1414 |
||>> mk_Frees "S" activephiTs |
51918 | 1415 |
||>> mk_Frees "IR" activeIphiTs; |
1416 |
val rels = map2 (fn Ds => mk_rel_of_bnf Ds (passiveAs @ Ts) (passiveBs @ Ts')) Dss bnfs; |
|
1417 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1418 |
(*register new datatypes as BNFs*) |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1419 |
val (timer, Ibnfs, (ctor_Imap_o_thms, ctor_Imap_thms), ctor_Iset_thmss', |
53567 | 1420 |
ctor_Irel_thms, Ibnf_notes, lthy) = |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
1421 |
if m = 0 then |
52913
2d2d9d1de1a9
theorems relating {c,d}tor_(un)fold/(co)rec and {c,d}tor_map
traytel
parents:
52911
diff
changeset
|
1422 |
(timer, replicate n DEADID_bnf, |
53285 | 1423 |
map_split (`(mk_pointfree lthy)) (map2 mk_ctor_map_DEADID_thm ctor_inject_thms map_ids), |
53567 | 1424 |
replicate n [], map2 mk_ctor_Irel_DEADID_thm ctor_inject_thms bnfs, [], lthy) |
49585
5c4a12550491
generate high-level "maps", "sets", and "rels" properties
blanchet
parents:
49584
diff
changeset
|
1425 |
else let |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1426 |
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
|
1427 |
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
|
1428 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1429 |
val (((((fs, fs'), fs_copy), us), (ys, ys')), |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1430 |
names_lthy) = names_lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1431 |
|> mk_Frees' "f" fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1432 |
||>> mk_Frees "f" fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1433 |
||>> mk_Frees "u" uTs |
51918 | 1434 |
||>> mk_Frees' "y" passiveAs; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1435 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1436 |
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
|
1437 |
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
|
1438 |
fun mk_passive_maps ATs BTs Ts = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1439 |
map2 (fn Ds => mk_map_of_bnf Ds (ATs @ Ts) (BTs @ Ts)) Dss bnfs; |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1440 |
fun mk_map_fold_arg fs Ts ctor fmap = |
49501 | 1441 |
HOLogic.mk_comp (ctor, Term.list_comb (fmap, fs @ map HOLogic.id_const Ts)); |
1442 |
fun mk_map Ts fs Ts' ctors mk_maps = |
|
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1443 |
mk_fold Ts (map2 (mk_map_fold_arg fs Ts') ctors (mk_maps Ts')); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1444 |
val pmapsABT' = mk_passive_maps passiveAs passiveBs; |
49501 | 1445 |
val fs_maps = map (mk_map Ts fs Ts' ctor's pmapsABT') ks; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1446 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1447 |
val ls = 1 upto m; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1448 |
val setsss = map (mk_setss o mk_set_Ts) passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1449 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1450 |
fun mk_col l T z z' sets = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1451 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1452 |
fun mk_UN set = mk_Union T $ (set $ z); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1453 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1454 |
Term.absfree z' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1455 |
(mk_union (nth sets (l - 1) $ z, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1456 |
Library.foldl1 mk_union (map mk_UN (drop m sets)))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1457 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1458 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1459 |
val colss = map5 (fn l => fn T => map3 (mk_col l T)) ls passiveAs AFss AFss' setsss; |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1460 |
val setss_by_range = map (fn cols => map (mk_fold Ts cols) ks) colss; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1461 |
val setss_by_bnf = transpose setss_by_range; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1462 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1463 |
val set_bss = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1464 |
map (flat o map2 (fn B => fn b => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1465 |
if member (op =) resDs (TFree B) then [] else [b]) resBs) set_bss0; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1466 |
|
49501 | 1467 |
val ctor_witss = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1468 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1469 |
val witss = map2 (fn Ds => fn bnf => mk_wits_of_bnf |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1470 |
(replicate (nwits_of_bnf bnf) Ds) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1471 |
(replicate (nwits_of_bnf bnf) (passiveAs @ Ts)) bnf) Dss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1472 |
fun close_wit (I, wit) = fold_rev Term.absfree (map (nth ys') I) wit; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1473 |
fun wit_apply (arg_I, arg_wit) (fun_I, fun_wit) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1474 |
(union (op =) arg_I fun_I, fun_wit $ arg_wit); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1475 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1476 |
fun gen_arg support i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1477 |
if i < m then [([i], nth ys i)] |
49501 | 1478 |
else maps (mk_wit support (nth ctors (i - m)) (i - m)) (nth support (i - m)) |
1479 |
and mk_wit support ctor i (I, wit) = |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1480 |
let val args = map (gen_arg (nth_map i (remove (op =) (I, wit)) support)) I; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1481 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1482 |
(args, [([], wit)]) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1483 |
|-> fold (map_product wit_apply) |
49501 | 1484 |
|> map (apsnd (fn t => ctor $ t)) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1485 |
|> minimize_wits |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1486 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1487 |
in |
49501 | 1488 |
map3 (fn ctor => fn i => map close_wit o minimize_wits o maps (mk_wit witss ctor i)) |
1489 |
ctors (0 upto n - 1) witss |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1490 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1491 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1492 |
val (Ibnf_consts, lthy) = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1493 |
fold_map8 (fn b => fn map_b => fn rel_b => fn set_bs => fn mapx => fn sets => fn wits => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1494 |
fn T => fn lthy => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1495 |
define_bnf_consts Dont_Inline (user_policy Note_Some lthy) (SOME deads) |
51798 | 1496 |
map_b rel_b set_bs |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1497 |
((((((b, T), fold_rev Term.absfree fs' mapx), sets), sum_bd), wits), NONE) lthy) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1498 |
bs map_bs rel_bs set_bss fs_maps setss_by_bnf ctor_witss Ts lthy; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1499 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1500 |
val (_, Iconsts, Iconst_defs, mk_Iconsts) = split_list4 Ibnf_consts; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1501 |
val (_, Isetss, Ibds_Ds, Iwitss_Ds, _) = split_list5 Iconsts; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1502 |
val (Imap_defs, Iset_defss, Ibd_defs, Iwit_defss, Irel_defs) = split_list5 Iconst_defs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1503 |
val (mk_Imaps_Ds, mk_It_Ds, _, mk_Irels_Ds, _) = split_list5 mk_Iconsts; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1504 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1505 |
val Irel_unabs_defs = map (fn def => mk_unabs_def m (def RS meta_eq_to_obj_eq)) Irel_defs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1506 |
val Iset_defs = flat Iset_defss; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1507 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1508 |
fun mk_Imaps As Bs = map (fn mk => mk deads As Bs) mk_Imaps_Ds; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1509 |
fun mk_Isetss As = map2 (fn mk => fn Isets => map (mk deads As) Isets) mk_It_Ds Isetss; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1510 |
val Ibds = map2 (fn mk => mk deads passiveAs) mk_It_Ds Ibds_Ds; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1511 |
val Iwitss = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1512 |
map2 (fn mk => fn Iwits => map (mk deads passiveAs o snd) Iwits) mk_It_Ds Iwitss_Ds; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1513 |
fun mk_Irels As Bs = map (fn mk => mk deads As Bs) mk_Irels_Ds; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1514 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1515 |
val Imaps = mk_Imaps passiveAs passiveBs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1516 |
val fs_Imaps = map (fn m => Term.list_comb (m, fs)) Imaps; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1517 |
val fs_copy_Imaps = map (fn m => Term.list_comb (m, fs_copy)) Imaps; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1518 |
val (Isetss_by_range, Isetss_by_bnf) = `transpose (mk_Isetss passiveAs); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1519 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1520 |
val map_setss = map (fn T => map2 (fn Ds => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1521 |
mk_map_of_bnf Ds (passiveAs @ Ts) (mk_set_Ts T)) Dss bnfs) passiveAs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1522 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1523 |
val timer = time (timer "bnf constants for the new datatypes"); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1524 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1525 |
val (ctor_Imap_thms, ctor_Imap_o_thms) = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1526 |
let |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1527 |
fun mk_goal fs_map map ctor ctor' = fold_rev Logic.all fs |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1528 |
(mk_Trueprop_eq (HOLogic.mk_comp (fs_map, ctor), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1529 |
HOLogic.mk_comp (ctor', Term.list_comb (map, fs @ fs_Imaps)))); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1530 |
val goals = map4 mk_goal fs_Imaps map_FTFT's ctors ctor's; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1531 |
val maps = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1532 |
map4 (fn goal => fn foldx => fn map_comp_id => fn map_cong0 => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1533 |
Goal.prove_sorry lthy [] [] goal |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1534 |
(fn {context = ctxt, prems = _} => unfold_thms_tac ctxt Imap_defs THEN |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1535 |
mk_map_tac m n foldx map_comp_id map_cong0) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1536 |
|> Thm.close_derivation) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1537 |
goals ctor_fold_thms map_comp_id_thms map_cong0s; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1538 |
in |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1539 |
`(map (fn thm => thm RS @{thm comp_eq_dest})) maps |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1540 |
end; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1541 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1542 |
val (ctor_Imap_unique_thms, ctor_Imap_unique_thm) = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1543 |
let |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1544 |
fun mk_prem u map ctor ctor' = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1545 |
mk_Trueprop_eq (HOLogic.mk_comp (u, ctor), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1546 |
HOLogic.mk_comp (ctor', Term.list_comb (map, fs @ us))); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1547 |
val prems = map4 mk_prem us map_FTFT's ctors ctor's; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1548 |
val goal = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1549 |
HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1550 |
(map2 (curry HOLogic.mk_eq) us fs_Imaps)); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1551 |
val unique = Goal.prove_sorry lthy [] [] |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1552 |
(fold_rev Logic.all (us @ fs) (Logic.list_implies (prems, goal))) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1553 |
(fn {context = ctxt, prems = _} => unfold_thms_tac ctxt Imap_defs THEN |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1554 |
mk_ctor_map_unique_tac ctor_fold_unique_thm sym_map_comps ctxt) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1555 |
|> Thm.close_derivation; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1556 |
in |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1557 |
`split_conj_thm unique |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1558 |
end; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1559 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1560 |
val timer = time (timer "map functions for the new datatypes"); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1561 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1562 |
val ctor_Iset_thmss = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1563 |
let |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1564 |
fun mk_goal sets ctor set col map = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1565 |
mk_Trueprop_eq (HOLogic.mk_comp (set, ctor), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1566 |
HOLogic.mk_comp (col, Term.list_comb (map, passive_ids @ sets))); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1567 |
val goalss = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1568 |
map3 (fn sets => map4 (mk_goal sets) ctors sets) Isetss_by_range colss map_setss; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1569 |
val setss = map (map2 (fn foldx => fn goal => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1570 |
Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, prems = _} => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1571 |
unfold_thms_tac ctxt Iset_defs THEN mk_set_tac foldx) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1572 |
|> Thm.close_derivation) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1573 |
ctor_fold_thms) goalss; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1574 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1575 |
fun mk_simp_goal pas_set act_sets sets ctor z set = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1576 |
Logic.all z (mk_Trueprop_eq (set $ (ctor $ z), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1577 |
mk_union (pas_set $ z, |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1578 |
Library.foldl1 mk_union (map2 (fn X => mk_UNION (X $ z)) act_sets sets)))); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1579 |
val simp_goalss = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1580 |
map2 (fn i => fn sets => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1581 |
map4 (fn Fsets => mk_simp_goal (nth Fsets (i - 1)) (drop m Fsets) sets) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1582 |
FTs_setss ctors xFs sets) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1583 |
ls Isetss_by_range; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1584 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1585 |
val ctor_setss = map3 (fn i => map3 (fn set_nats => fn goal => fn set => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1586 |
Goal.prove_sorry lthy [] [] goal |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1587 |
(K (mk_ctor_set_tac set (nth set_nats (i - 1)) (drop m set_nats))) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1588 |
|> Thm.close_derivation) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1589 |
set_mapss) ls simp_goalss setss; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1590 |
in |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1591 |
ctor_setss |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1592 |
end; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1593 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1594 |
fun mk_set_thms ctor_set = (@{thm xt1(3)} OF [ctor_set, @{thm Un_upper1}]) :: |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1595 |
map (fn i => (@{thm xt1(3)} OF [ctor_set, @{thm Un_upper2}]) RS |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1596 |
(mk_Un_upper n i RS subset_trans) RSN |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1597 |
(2, @{thm UN_upper} RS subset_trans)) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1598 |
(1 upto n); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1599 |
val set_Iset_thmsss = transpose (map (map mk_set_thms) ctor_Iset_thmss); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1600 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1601 |
val timer = time (timer "set functions for the new datatypes"); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1602 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1603 |
val cxs = map (SOME o certify lthy) Izs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1604 |
val Isetss_by_range' = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1605 |
map (map (Term.subst_atomic_types (passiveAs ~~ passiveBs))) Isetss_by_range; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1606 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1607 |
val Iset_Imap0_thmss = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1608 |
let |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1609 |
fun mk_set_map0 f map z set set' = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1610 |
HOLogic.mk_eq (mk_image f $ (set $ z), set' $ (map $ z)); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1611 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1612 |
fun mk_cphi f map z set set' = certify lthy |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1613 |
(Term.absfree (dest_Free z) (mk_set_map0 f map z set set')); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1614 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1615 |
val csetss = map (map (certify lthy)) Isetss_by_range'; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1616 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1617 |
val cphiss = map3 (fn f => fn sets => fn sets' => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1618 |
(map4 (mk_cphi f) fs_Imaps Izs sets sets')) fs Isetss_by_range Isetss_by_range'; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1619 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1620 |
val inducts = map (fn cphis => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1621 |
Drule.instantiate' cTs (map SOME cphis @ cxs) ctor_induct_thm) cphiss; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1622 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1623 |
val goals = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1624 |
map3 (fn f => fn sets => fn sets' => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1625 |
HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1626 |
(map4 (mk_set_map0 f) fs_Imaps Izs sets sets'))) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1627 |
fs Isetss_by_range Isetss_by_range'; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1628 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1629 |
fun mk_tac induct = mk_set_nat_tac m (rtac induct) set_mapss ctor_Imap_thms; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1630 |
val thms = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1631 |
map5 (fn goal => fn csets => fn ctor_sets => fn induct => fn i => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1632 |
singleton (Proof_Context.export names_lthy lthy) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1633 |
(Goal.prove_sorry lthy [] [] goal (mk_tac induct csets ctor_sets i)) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1634 |
|> Thm.close_derivation) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1635 |
goals csetss ctor_Iset_thmss inducts ls; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1636 |
in |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1637 |
map split_conj_thm thms |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1638 |
end; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1639 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1640 |
val Iset_bd_thmss = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1641 |
let |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1642 |
fun mk_set_bd z bd set = mk_ordLeq (mk_card_of (set $ z)) bd; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1643 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1644 |
fun mk_cphi z set = certify lthy (Term.absfree (dest_Free z) (mk_set_bd z sum_bd set)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1645 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1646 |
val cphiss = map (map2 mk_cphi Izs) Isetss_by_range; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1647 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1648 |
val inducts = map (fn cphis => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1649 |
Drule.instantiate' cTs (map SOME cphis @ cxs) ctor_induct_thm) cphiss; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1650 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1651 |
val goals = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1652 |
map (fn sets => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1653 |
HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1654 |
(map3 mk_set_bd Izs Ibds sets))) Isetss_by_range; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1655 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1656 |
fun mk_tac induct = mk_set_bd_tac m (rtac induct) sum_Cinfinite set_bd_sumss; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1657 |
val thms = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1658 |
map4 (fn goal => fn ctor_sets => fn induct => fn i => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1659 |
singleton (Proof_Context.export names_lthy lthy) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1660 |
(Goal.prove_sorry lthy [] [] goal |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1661 |
(fn {context = ctxt, prems = _} => unfold_thms_tac ctxt Ibd_defs THEN |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1662 |
mk_tac induct ctor_sets i ctxt)) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1663 |
|> Thm.close_derivation) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1664 |
goals ctor_Iset_thmss inducts ls; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1665 |
in |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1666 |
map split_conj_thm thms |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1667 |
end; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1668 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1669 |
val Imap_cong0_thms = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1670 |
let |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1671 |
fun mk_prem z set f g y y' = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1672 |
mk_Ball (set $ z) (Term.absfree y' (HOLogic.mk_eq (f $ y, g $ y))); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1673 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1674 |
fun mk_map_cong0 sets z fmap gmap = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1675 |
HOLogic.mk_imp |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1676 |
(Library.foldr1 HOLogic.mk_conj (map5 (mk_prem z) sets fs fs_copy ys ys'), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1677 |
HOLogic.mk_eq (fmap $ z, gmap $ z)); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1678 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1679 |
fun mk_cphi sets z fmap gmap = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1680 |
certify lthy (Term.absfree (dest_Free z) (mk_map_cong0 sets z fmap gmap)); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1681 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1682 |
val cphis = map4 mk_cphi Isetss_by_bnf Izs fs_Imaps fs_copy_Imaps; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1683 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1684 |
val induct = Drule.instantiate' cTs (map SOME cphis @ cxs) ctor_induct_thm; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1685 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1686 |
val goal = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1687 |
HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1688 |
(map4 mk_map_cong0 Isetss_by_bnf Izs fs_Imaps fs_copy_Imaps)); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1689 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1690 |
val thm = singleton (Proof_Context.export names_lthy lthy) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1691 |
(Goal.prove_sorry lthy [] [] goal |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1692 |
(mk_mcong_tac (rtac induct) set_Iset_thmsss map_cong0s ctor_Imap_thms)) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1693 |
|> Thm.close_derivation; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1694 |
in |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1695 |
split_conj_thm thm |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1696 |
end; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1697 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
1698 |
val in_rels = map in_rel_of_bnf bnfs; |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1699 |
val in_Irels = map (fn def => trans OF [def, @{thm OO_Grp_alt}] RS @{thm predicate2_eqD}) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1700 |
Irel_unabs_defs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1701 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1702 |
val ctor_Iset_incl_thmss = map (map hd) set_Iset_thmsss; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1703 |
val ctor_set_Iset_incl_thmsss = map (transpose o map tl) set_Iset_thmsss; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1704 |
val ctor_Iset_thmss' = transpose ctor_Iset_thmss; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1705 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1706 |
val Irels = mk_Irels passiveAs passiveBs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1707 |
val Irelphis = map (fn rel => Term.list_comb (rel, Iphis)) Irels; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1708 |
val relphis = map (fn rel => Term.list_comb (rel, Iphis @ Irelphis)) rels; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1709 |
val Irelpsi1s = map (fn rel => Term.list_comb (rel, Ipsi1s)) (mk_Irels passiveAs passiveCs); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1710 |
val Irelpsi2s = map (fn rel => Term.list_comb (rel, Ipsi2s)) (mk_Irels passiveCs passiveBs); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1711 |
val Irelpsi12s = map (fn rel => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1712 |
Term.list_comb (rel, map2 (curry mk_rel_compp) Ipsi1s Ipsi2s)) Irels; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1713 |
|
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
1714 |
val ctor_Irel_thms = |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1715 |
let |
51893
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
1716 |
fun mk_goal xF yF ctor ctor' Irelphi relphi = fold_rev Logic.all (xF :: yF :: Iphis) |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
1717 |
(mk_Trueprop_eq (Irelphi $ (ctor $ xF) $ (ctor' $ yF), relphi $ xF $ yF)); |
596baae88a88
got rid of the set based relator---use (binary) predicate based relator instead
traytel
parents:
51869
diff
changeset
|
1718 |
val goals = map6 mk_goal xFs yFs ctors ctor's Irelphis relphis; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1719 |
in |
53287 | 1720 |
map12 (fn i => fn goal => fn in_rel => fn map_comp0 => 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
|
1721 |
fn ctor_map => fn ctor_sets => fn ctor_inject => fn ctor_dtor => |
53289 | 1722 |
fn set_map0s => fn ctor_set_incls => fn ctor_set_set_inclss => |
51551 | 1723 |
Goal.prove_sorry lthy [] [] goal |
53287 | 1724 |
(K (mk_ctor_rel_tac lthy in_Irels i in_rel map_comp0 map_cong0 ctor_map ctor_sets |
53289 | 1725 |
ctor_inject ctor_dtor set_map0s ctor_set_incls ctor_set_set_inclss)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1726 |
|> Thm.close_derivation) |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1727 |
ks goals in_rels map_comps map_cong0s ctor_Imap_thms ctor_Iset_thmss' |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1728 |
ctor_inject_thms ctor_dtor_thms set_mapss ctor_Iset_incl_thmss |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1729 |
ctor_set_Iset_incl_thmsss |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1730 |
end; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1731 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1732 |
val le_Irel_OO_thm = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1733 |
let |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1734 |
fun mk_le_Irel_OO Irelpsi1 Irelpsi2 Irelpsi12 Iz1 Iz2 = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1735 |
HOLogic.mk_imp (mk_rel_compp (Irelpsi1, Irelpsi2) $ Iz1 $ Iz2, |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1736 |
Irelpsi12 $ Iz1 $ Iz2); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1737 |
val goals = map5 mk_le_Irel_OO Irelpsi1s Irelpsi2s Irelpsi12s Izs1 Izs2; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1738 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1739 |
val cTs = map (SOME o certifyT lthy o TFree) induct2_params; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1740 |
val cxs = map (SOME o certify lthy) (splice Izs1 Izs2); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1741 |
fun mk_cphi z1 z2 goal = SOME (certify lthy (Term.absfree z1 (Term.absfree z2 goal))); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1742 |
val cphis = map3 mk_cphi Izs1' Izs2' goals; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1743 |
val induct = Drule.instantiate' cTs (cphis @ cxs) ctor_induct2_thm; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1744 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1745 |
val goal = HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj goals); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1746 |
in |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1747 |
singleton (Proof_Context.export names_lthy lthy) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1748 |
(Goal.prove_sorry lthy [] [] goal |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1749 |
(mk_le_rel_OO_tac m induct ctor_nchotomy_thms ctor_Irel_thms rel_mono_strongs |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1750 |
rel_OOs)) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1751 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1752 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1753 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1754 |
val timer = time (timer "helpers for BNF properties"); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1755 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1756 |
val map_id0_tacs = map (K o mk_map_id0_tac map_id0s) ctor_Imap_unique_thms; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1757 |
val map_comp0_tacs = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1758 |
map2 (K oo mk_map_comp0_tac map_comps ctor_Imap_thms) ctor_Imap_unique_thms ks; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1759 |
val map_cong0_tacs = map (mk_map_cong0_tac m) Imap_cong0_thms; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1760 |
val set_map0_tacss = map (map (K o mk_set_map0_tac)) (transpose Iset_Imap0_thmss); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1761 |
val bd_co_tacs = replicate n (fn {context = ctxt, prems = _} => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1762 |
unfold_thms_tac ctxt Ibd_defs THEN mk_bd_card_order_tac bd_card_orders); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1763 |
val bd_cinf_tacs = replicate n (fn {context = ctxt, prems = _} => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1764 |
unfold_thms_tac ctxt Ibd_defs THEN rtac (sum_Cinfinite RS conjunct1) 1); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1765 |
val set_bd_tacss = map (map (fn thm => K (rtac thm 1))) (transpose Iset_bd_thmss); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1766 |
val le_rel_OO_tacs = map (fn i => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1767 |
K ((rtac @{thm predicate2I} THEN' etac (le_Irel_OO_thm RS mk_conjunctN n i RS mp)) 1)) ks; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1768 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1769 |
val rel_OO_Grp_tacs = map (fn def => K (rtac def 1)) Irel_unabs_defs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1770 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1771 |
val tacss = map9 zip_axioms map_id0_tacs map_comp0_tacs map_cong0_tacs set_map0_tacss |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1772 |
bd_co_tacs bd_cinf_tacs set_bd_tacss le_rel_OO_tacs rel_OO_Grp_tacs; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1773 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1774 |
fun wit_tac {context = ctxt, prems = _} = unfold_thms_tac ctxt (flat Iwit_defss) THEN |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1775 |
mk_wit_tac ctxt n (flat ctor_Iset_thmss) (maps wit_thms_of_bnf bnfs); |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1776 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1777 |
val (Ibnfs, lthy) = |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1778 |
fold_map5 (fn tacs => fn map_b => fn rel_b => fn set_bs => fn consts => fn lthy => |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1779 |
bnf_def Do_Inline (user_policy Note_Some) I tacs wit_tac (SOME deads) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1780 |
map_b rel_b set_bs consts lthy |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1781 |
|> register_bnf (Local_Theory.full_name lthy b)) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1782 |
tacss map_bs rel_bs set_bss |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1783 |
((((((bs ~~ Ts) ~~ Imaps) ~~ Isetss_by_bnf) ~~ Ibds) ~~ Iwitss) ~~ map SOME Irels) |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1784 |
lthy; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1785 |
|
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1786 |
val timer = time (timer "registered new datatypes as BNFs"); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1787 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1788 |
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:
49074
diff
changeset
|
1789 |
|
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1790 |
val Ibnf_common_notes = |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1791 |
[(ctor_map_uniqueN, [ctor_Imap_unique_thm])] |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1792 |
|> map (fn (thmN, thms) => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1793 |
((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:
49074
diff
changeset
|
1794 |
|
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1795 |
val Ibnf_notes = |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1796 |
[(ctor_mapN, map single ctor_Imap_thms), |
49541 | 1797 |
(ctor_relN, map single ctor_Irel_thms), |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1798 |
(ctor_set_inclN, ctor_Iset_incl_thmss), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1799 |
(ctor_set_set_inclN, map flat ctor_set_Iset_incl_thmsss)] @ |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1800 |
map2 (fn i => fn thms => (mk_ctor_setN i, map single thms)) ls' ctor_Iset_thmss |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1801 |
|> maps (fn (thmN, thmss) => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1802 |
map2 (fn b => fn thms => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1803 |
((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:
49074
diff
changeset
|
1804 |
bs thmss) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1805 |
in |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1806 |
(timer, Ibnfs, (ctor_Imap_o_thms, ctor_Imap_thms), ctor_Iset_thmss', |
53567 | 1807 |
ctor_Irel_thms, Ibnf_common_notes @ Ibnf_notes, lthy) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1808 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1809 |
|
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1810 |
val ctor_fold_o_Imap_thms = mk_xtor_un_fold_o_map_thms Least_FP false m ctor_fold_unique_thm |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1811 |
ctor_Imap_o_thms (map (mk_pointfree lthy) ctor_fold_thms) sym_map_comps map_cong0s; |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1812 |
val ctor_rec_o_Imap_thms = mk_xtor_un_fold_o_map_thms Least_FP true m ctor_rec_unique_thm |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1813 |
ctor_Imap_o_thms (map (mk_pointfree lthy) ctor_rec_thms) sym_map_comps map_cong0s; |
52913
2d2d9d1de1a9
theorems relating {c,d}tor_(un)fold/(co)rec and {c,d}tor_map
traytel
parents:
52911
diff
changeset
|
1814 |
|
52505
e62f3fd2035e
share some code between codatatypes, datatypes and eventually prim(co)rec
traytel
parents:
52344
diff
changeset
|
1815 |
val Irels = if m = 0 then map HOLogic.eq_const Ts |
e62f3fd2035e
share some code between codatatypes, datatypes and eventually prim(co)rec
traytel
parents:
52344
diff
changeset
|
1816 |
else map (mk_rel_of_bnf deads passiveAs passiveBs) Ibnfs; |
51918 | 1817 |
val Irel_induct_thm = |
53258
775b43e72d82
renamed an ML filed for consistency (low-level => ctor/dtor/xtor in name)
blanchet
parents:
53203
diff
changeset
|
1818 |
mk_rel_xtor_co_induct_thm Least_FP rels activeIphis Irels Iphis xFs yFs ctors ctor's |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1819 |
(mk_rel_induct_tac m ctor_induct2_thm ks ctor_Irel_thms rel_mono_strongs) lthy; |
51918 | 1820 |
|
52731 | 1821 |
val rels = map2 (fn Ds => mk_rel_of_bnf Ds allAs allBs') Dss bnfs; |
1822 |
val ctor_fold_transfer_thms = |
|
1823 |
mk_un_fold_transfer_thms Least_FP rels activephis Irels Iphis |
|
1824 |
(mk_folds passiveAs activeAs) (mk_folds passiveBs activeBs) |
|
1825 |
(mk_fold_transfer_tac m Irel_induct_thm (map map_transfer_of_bnf bnfs) ctor_fold_thms) |
|
1826 |
lthy; |
|
1827 |
||
51918 | 1828 |
val timer = time (timer "relator induction"); |
1829 |
||
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1830 |
val common_notes = |
49501 | 1831 |
[(ctor_inductN, [ctor_induct_thm]), |
51918 | 1832 |
(ctor_induct2N, [ctor_induct2_thm]), |
52731 | 1833 |
(rel_inductN, [Irel_induct_thm]), |
1834 |
(ctor_fold_transferN, ctor_fold_transfer_thms)] |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1835 |
|> map (fn (thmN, thms) => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1836 |
((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:
49074
diff
changeset
|
1837 |
|
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1838 |
val notes = |
49501 | 1839 |
[(ctor_dtorN, ctor_dtor_thms), |
1840 |
(ctor_exhaustN, ctor_exhaust_thms), |
|
49594
55e798614c45
tweaked theorem names (in particular, dropped s's)
blanchet
parents:
49591
diff
changeset
|
1841 |
(ctor_foldN, ctor_fold_thms), |
49504
df9b897fb254
renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents:
49502
diff
changeset
|
1842 |
(ctor_fold_uniqueN, ctor_fold_unique_thms), |
51739
3514b90d0a8b
(co)rec is (just as the (un)fold) the unique morphism;
traytel
parents:
51551
diff
changeset
|
1843 |
(ctor_rec_uniqueN, ctor_rec_unique_thms), |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1844 |
(ctor_fold_o_mapN, ctor_fold_o_Imap_thms), |
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1845 |
(ctor_rec_o_mapN, ctor_rec_o_Imap_thms), |
49501 | 1846 |
(ctor_injectN, ctor_inject_thms), |
49594
55e798614c45
tweaked theorem names (in particular, dropped s's)
blanchet
parents:
49591
diff
changeset
|
1847 |
(ctor_recN, ctor_rec_thms), |
49501 | 1848 |
(dtor_ctorN, dtor_ctor_thms), |
1849 |
(dtor_exhaustN, dtor_exhaust_thms), |
|
1850 |
(dtor_injectN, dtor_inject_thms)] |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1851 |
|> map (apsnd (map single)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1852 |
|> maps (fn (thmN, thmss) => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1853 |
map2 (fn b => fn thms => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1854 |
((Binding.qualify true (Binding.name_of b) (Binding.name thmN), []), [(thms, [])])) |
53568
f9456284048f
conceal low-level noted facts (+ FIXME to get rid of the notes altogether eventually)
traytel
parents:
53567
diff
changeset
|
1855 |
bs thmss); |
f9456284048f
conceal low-level noted facts (+ FIXME to get rid of the notes altogether eventually)
traytel
parents:
53567
diff
changeset
|
1856 |
|
f9456284048f
conceal low-level noted facts (+ FIXME to get rid of the notes altogether eventually)
traytel
parents:
53567
diff
changeset
|
1857 |
(*FIXME: once the package exports all the necessary high-level characteristic theorems, |
f9456284048f
conceal low-level noted facts (+ FIXME to get rid of the notes altogether eventually)
traytel
parents:
53567
diff
changeset
|
1858 |
those should not only be concealed but rather not noted at all*) |
f9456284048f
conceal low-level noted facts (+ FIXME to get rid of the notes altogether eventually)
traytel
parents:
53567
diff
changeset
|
1859 |
val maybe_conceal_notes = note_all = false ? map (apfst (apfst Binding.conceal)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1860 |
in |
51925 | 1861 |
timer; |
52328 | 1862 |
({Ts = Ts, bnfs = Ibnfs, ctors = ctors, dtors = dtors, xtor_co_iterss = transpose [folds, recs], |
53106 | 1863 |
xtor_co_induct = ctor_induct_thm, dtor_ctors = dtor_ctor_thms, ctor_dtors = ctor_dtor_thms, |
53203
222ea6acbdd6
moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents:
53143
diff
changeset
|
1864 |
ctor_injects = ctor_inject_thms, dtor_injects = dtor_inject_thms, |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1865 |
xtor_map_thms = ctor_Imap_thms, xtor_set_thmss = ctor_Iset_thmss', |
53203
222ea6acbdd6
moved derivation of ctor_dtor_unfold to sugar (streamlines fp_result interface)
traytel
parents:
53143
diff
changeset
|
1866 |
xtor_rel_thms = ctor_Irel_thms, |
52839 | 1867 |
xtor_co_iter_thmss = transpose [ctor_fold_thms, ctor_rec_thms], |
54841
af71b753c459
express weak pullback property of bnfs only in terms of the relator
traytel
parents:
54793
diff
changeset
|
1868 |
xtor_co_iter_o_map_thmss = transpose [ctor_fold_o_Imap_thms, ctor_rec_o_Imap_thms], |
53258
775b43e72d82
renamed an ML filed for consistency (low-level => ctor/dtor/xtor in name)
blanchet
parents:
53203
diff
changeset
|
1869 |
rel_xtor_co_induct_thm = Irel_induct_thm}, |
53568
f9456284048f
conceal low-level noted facts (+ FIXME to get rid of the notes altogether eventually)
traytel
parents:
53567
diff
changeset
|
1870 |
lthy |> Local_Theory.notes (maybe_conceal_notes (common_notes @ notes @ Ibnf_notes)) |> snd) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1871 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1872 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1873 |
val _ = |
54025 | 1874 |
Outer_Syntax.local_theory @{command_spec "datatype_new"} "define new-style inductive datatypes" |
52207
21026c312cc3
tuning -- avoided unreadable true/false all over the place for LFP/GFP
blanchet
parents:
52100
diff
changeset
|
1875 |
(parse_co_datatype_cmd Least_FP construct_lfp); |
49308
6190b701e4f4
reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents:
49277
diff
changeset
|
1876 |
|
53310 | 1877 |
val _ = Outer_Syntax.local_theory @{command_spec "primrec_new"} |
1878 |
"define primitive recursive functions" |
|
54013
38c0bbb8348b
improved backwards compatiblity of primrec_new (Isabelle/ML interface, attributes, etc.)
traytel
parents:
53568
diff
changeset
|
1879 |
(Parse.fixes -- Parse_Spec.where_alt_specs >> (snd oo uncurry add_primrec_cmd)); |
53310 | 1880 |
|
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1881 |
end; |