author | blanchet |
Tue, 04 Sep 2012 16:17:22 +0200 | |
changeset 49126 | 1bbd7a37fc29 |
parent 49125 | 5fc5211cf104 |
child 49128 | 1a86ef0a0210 |
permissions | -rw-r--r-- |
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(* Title: HOL/Codatatype/Tools/bnf_lfp.ML |
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Author: Dmitriy Traytel, TU Muenchen |
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Author: Andrei Popescu, TU Muenchen |
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Copyright 2012 |
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|
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Datatype construction. |
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*) |
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|
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signature BNF_LFP = |
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sig |
49125 | 11 |
val bnf_lfp: binding list -> typ list list -> BNF_Def.BNF list -> local_theory -> |
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(term list * term list * thm list * thm list * thm list) * local_theory |
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end; |
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|
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structure BNF_LFP : BNF_LFP = |
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struct |
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|
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open BNF_Def |
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open BNF_Util |
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open BNF_Tactics |
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open BNF_FP_Util |
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open BNF_LFP_Util |
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open BNF_LFP_Tactics |
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|
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(*all bnfs have the same lives*) |
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fun bnf_lfp bs Dss_insts bnfs lthy = |
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let |
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val timer = time (Timer.startRealTimer ()); |
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val live = live_of_bnf (hd bnfs) |
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val n = length bnfs; (*active*) |
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val ks = 1 upto n |
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val m = live - n (*passive, if 0 don't generate a new bnf*) |
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val b = Binding.name (fold_rev (fn b => fn s => Binding.name_of b ^ s) bs ""); |
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|
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(* TODO: check if m, n etc are sane *) |
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|
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val Dss = map (fn Ds => map TFree (fold Term.add_tfreesT Ds [])) Dss_insts; |
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val deads = distinct (op =) (flat Dss); |
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val names_lthy = fold Variable.declare_typ deads lthy; |
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|
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(* tvars *) |
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val (((((((passiveAs, activeAs), allAs)), (passiveBs, activeBs)), |
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activeCs), passiveXs), passiveYs) = names_lthy |
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|> mk_TFrees live |
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|> apfst (`(chop m)) |
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||> mk_TFrees live |
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||>> apfst (chop m) |
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||>> mk_TFrees n |
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||>> mk_TFrees m |
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||> fst o mk_TFrees m; |
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|
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val Ass = replicate n allAs; |
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val allBs = passiveAs @ activeBs; |
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val Bss = replicate n allBs; |
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val allCs = passiveAs @ activeCs; |
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val allCs' = passiveBs @ activeCs; |
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val Css' = replicate n allCs'; |
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|
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(* typs *) |
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fun mk_FTs Ts = map2 (fn Ds => mk_T_of_bnf Ds Ts) Dss bnfs; |
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val (params, params') = `(map Term.dest_TFree) (deads @ passiveAs); |
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val FTsAs = mk_FTs allAs; |
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val FTsBs = mk_FTs allBs; |
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val FTsCs = mk_FTs allCs; |
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val ATs = map HOLogic.mk_setT passiveAs; |
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val BTs = map HOLogic.mk_setT activeAs; |
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val B'Ts = map HOLogic.mk_setT activeBs; |
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val B''Ts = map HOLogic.mk_setT activeCs; |
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val sTs = map2 (curry (op -->)) FTsAs activeAs; |
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val s'Ts = map2 (curry (op -->)) FTsBs activeBs; |
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val s''Ts = map2 (curry (op -->)) FTsCs activeCs; |
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val fTs = map2 (curry (op -->)) activeAs activeBs; |
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val inv_fTs = map2 (curry (op -->)) activeBs activeAs; |
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val self_fTs = map2 (curry (op -->)) activeAs activeAs; |
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val gTs = map2 (curry (op -->)) activeBs activeCs; |
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val all_gTs = map2 (curry (op -->)) allBs allCs'; |
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val prodBsAs = map2 (curry HOLogic.mk_prodT) activeBs activeAs; |
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val prodFTs = mk_FTs (passiveAs @ prodBsAs); |
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val prod_sTs = map2 (curry (op -->)) prodFTs activeAs; |
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|
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(* terms *) |
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val mapsAsAs = map4 mk_map_of_bnf Dss Ass Ass bnfs; |
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val mapsAsBs = map4 mk_map_of_bnf Dss Ass Bss bnfs; |
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val mapsBsAs = map4 mk_map_of_bnf Dss Bss Ass bnfs; |
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val mapsBsCs' = map4 mk_map_of_bnf Dss Bss Css' bnfs; |
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val mapsAsCs' = map4 mk_map_of_bnf Dss Ass Css' bnfs; |
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val map_fsts = map4 mk_map_of_bnf Dss (replicate n (passiveAs @ prodBsAs)) Bss bnfs; |
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val map_fsts_rev = map4 mk_map_of_bnf Dss Bss (replicate n (passiveAs @ prodBsAs)) bnfs; |
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fun mk_setss Ts = map3 mk_sets_of_bnf (map (replicate live) Dss) |
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(map (replicate live) (replicate n Ts)) bnfs; |
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val setssAs = mk_setss allAs; |
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val bds = map3 mk_bd_of_bnf Dss Ass bnfs; |
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val witss = map wits_of_bnf bnfs; |
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val (((((((((((((((((((zs, zs'), As), Bs), Bs_copy), B's), B''s), ss), prod_ss), s's), s''s), |
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fs), fs_copy), inv_fs), self_fs), gs), all_gs), (xFs, xFs')), (yFs, yFs')), |
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names_lthy) = lthy |
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|> mk_Frees' "z" activeAs |
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||>> mk_Frees "A" ATs |
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||>> mk_Frees "B" BTs |
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||>> mk_Frees "B" BTs |
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||>> mk_Frees "B'" B'Ts |
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||>> mk_Frees "B''" B''Ts |
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||>> mk_Frees "s" sTs |
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||>> mk_Frees "prods" prod_sTs |
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||>> mk_Frees "s'" s'Ts |
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|
107 |
||>> mk_Frees "s''" s''Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
108 |
||>> mk_Frees "f" fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
109 |
||>> mk_Frees "f" fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
110 |
||>> mk_Frees "f" inv_fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
111 |
||>> mk_Frees "f" self_fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
112 |
||>> mk_Frees "g" gTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
113 |
||>> mk_Frees "g" all_gTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
114 |
||>> mk_Frees' "x" FTsAs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
115 |
||>> mk_Frees' "y" FTsBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
116 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
117 |
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
|
118 |
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
|
119 |
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
|
120 |
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
|
121 |
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
|
122 |
val fsts = map fst_const prodBsAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
123 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
124 |
(* thms *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
125 |
val bd_card_orders = map bd_card_order_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
126 |
val bd_Card_orders = map bd_Card_order_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
127 |
val bd_Card_order = hd bd_Card_orders; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
128 |
val bd_Cinfinite = bd_Cinfinite_of_bnf (hd bnfs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
129 |
val bd_Cnotzeros = map bd_Cnotzero_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
130 |
val bd_Cnotzero = hd bd_Cnotzeros; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
131 |
val in_bds = map in_bd_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
132 |
val map_comp's = map map_comp'_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
133 |
val map_congs = map map_cong_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
134 |
val map_ids = map map_id_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
135 |
val map_id's = map map_id'_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
136 |
val map_wpulls = map map_wpull_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
137 |
val set_bdss = map set_bd_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
138 |
val set_natural'ss = map set_natural'_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
139 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
140 |
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
|
141 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
142 |
(* nonemptiness check *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
143 |
fun new_wit X wit = subset (op =) (#I wit, (0 upto m - 1) @ map snd X); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
144 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
145 |
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
|
146 |
(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
|
147 |
NONE => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
148 |
(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
|
149 |
~1 => NONE |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
150 |
| j => SOME (j, i)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
151 |
| SOME ji => SOME ji)) (m upto m + n - 1); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
152 |
val reachable = fixpoint (op =) enrich []; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
153 |
val _ = if map snd reachable = (m upto m + n - 1) then () |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
154 |
else error "The datatype could not be generated because nonemptiness could not be proved"; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
155 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
156 |
val wit_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
157 |
flat (map2 (fn bnf => fn (j, _) => nth (wit_thmss_of_bnf bnf) j) bnfs reachable); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
158 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
159 |
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
|
160 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
161 |
(* derived thms *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
162 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
163 |
(*map g1 ... gm g(m+1) ... g(m+n) (map id ... id f(m+1) ... f(m+n) x)= |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
164 |
map g1 ... gm (g(m+1) o f(m+1)) ... (g(m+n) o f(m+n)) x*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
165 |
fun mk_map_comp_id x mapAsBs mapBsCs mapAsCs map_comp = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
166 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
167 |
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
|
168 |
(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
|
169 |
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
|
170 |
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
|
171 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
172 |
Skip_Proof.prove lthy [] [] |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
173 |
(fold_rev Logic.all (x :: fs @ all_gs) (mk_Trueprop_eq (lhs, rhs))) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
174 |
(K (mk_map_comp_id_tac map_comp)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
175 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
176 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
177 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
178 |
val map_comp_id_thms = map5 mk_map_comp_id xFs mapsAsBs mapsBsCs' mapsAsCs' map_comp's; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
179 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
180 |
(*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
|
181 |
map id ... id f(m+1) ... f(m+n) x = x*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
182 |
fun mk_map_congL x mapAsAs sets map_cong map_id' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
183 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
184 |
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
|
185 |
(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
|
186 |
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
|
187 |
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
|
188 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
189 |
Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
190 |
(fold_rev Logic.all (x :: self_fs) (Logic.list_implies (prems, goal))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
191 |
(K (mk_map_congL_tac m map_cong map_id')) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
192 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
193 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
194 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
195 |
val map_congL_thms = map5 mk_map_congL xFs mapsAsAs setssAs map_congs map_id's; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
196 |
val in_mono'_thms = map (fn bnf => in_mono_of_bnf bnf OF (replicate m subset_refl)) bnfs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
197 |
val in_cong'_thms = map (fn bnf => in_cong_of_bnf bnf OF (replicate m refl)) bnfs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
198 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
199 |
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
|
200 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
201 |
(* algebra *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
202 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
203 |
val alg_bind = Binding.suffix_name ("_" ^ algN) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
204 |
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
|
205 |
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
|
206 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
207 |
(*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
|
208 |
val alg_spec = |
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 algT = Library.foldr (op -->) (ATs @ BTs @ sTs, HOLogic.boolT); |
7f79f94a432c
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211 |
|
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212 |
val ins = map3 mk_in (replicate n (As @ Bs)) setssAs FTsAs; |
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|
213 |
fun mk_alg_conjunct B s X x x' = |
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mk_Ball X (Term.absfree x' (HOLogic.mk_mem (s $ x, B))); |
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|
215 |
|
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|
216 |
val lhs = Term.list_comb (Free (alg_name, algT), As @ Bs @ ss); |
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|
217 |
val rhs = Library.foldr1 HOLogic.mk_conj (map5 mk_alg_conjunct Bs ss ins xFs xFs') |
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|
218 |
in |
49123
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219 |
mk_Trueprop_eq (lhs, rhs) |
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220 |
end; |
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|
221 |
|
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222 |
val ((alg_free, (_, alg_def_free)), (lthy, lthy_old)) = |
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|
223 |
lthy |
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|
224 |
|> Specification.definition (SOME (alg_bind, NONE, NoSyn), (alg_def_bind, alg_spec)) |
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225 |
||> `Local_Theory.restore; |
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|
226 |
|
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|
227 |
(*transforms defined frees into consts*) |
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|
228 |
val phi = Proof_Context.export_morphism lthy_old lthy; |
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|
229 |
val alg = fst (Term.dest_Const (Morphism.term phi alg_free)); |
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|
230 |
val alg_def = Morphism.thm phi alg_def_free; |
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|
231 |
|
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|
232 |
fun mk_alg As Bs ss = |
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|
233 |
let |
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|
234 |
val args = As @ Bs @ ss; |
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|
235 |
val Ts = map fastype_of args; |
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|
236 |
val algT = Library.foldr (op -->) (Ts, HOLogic.boolT); |
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changeset
|
237 |
in |
7f79f94a432c
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|
238 |
Term.list_comb (Const (alg, algT), args) |
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|
239 |
end; |
7f79f94a432c
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|
240 |
|
7f79f94a432c
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|
241 |
val alg_set_thms = |
7f79f94a432c
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|
242 |
let |
7f79f94a432c
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changeset
|
243 |
val alg_prem = HOLogic.mk_Trueprop (mk_alg As Bs ss); |
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|
244 |
fun mk_prem x set B = HOLogic.mk_Trueprop (mk_subset (set $ x) B); |
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|
245 |
fun mk_concl s x B = HOLogic.mk_Trueprop (HOLogic.mk_mem (s $ x, B)); |
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changeset
|
246 |
val premss = map2 ((fn x => fn sets => map2 (mk_prem x) sets (As @ Bs))) xFs setssAs; |
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|
247 |
val concls = map3 mk_concl ss xFs Bs; |
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changeset
|
248 |
val goals = map3 (fn x => fn prems => fn concl => |
7f79f94a432c
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|
249 |
fold_rev Logic.all (x :: As @ Bs @ ss) |
7f79f94a432c
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|
250 |
(Logic.list_implies (alg_prem :: prems, concl))) xFs premss concls; |
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|
251 |
in |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
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parents:
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|
252 |
map (fn goal => |
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|
253 |
Skip_Proof.prove lthy [] [] goal (K (mk_alg_set_tac alg_def)) |> Thm.close_derivation) |
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254 |
goals |
48975
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|
255 |
end; |
7f79f94a432c
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diff
changeset
|
256 |
|
7f79f94a432c
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|
257 |
fun mk_talg ATs BTs = mk_alg (map HOLogic.mk_UNIV ATs) (map HOLogic.mk_UNIV BTs); |
7f79f94a432c
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changeset
|
258 |
|
7f79f94a432c
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|
259 |
val talg_thm = |
7f79f94a432c
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diff
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|
260 |
let |
7f79f94a432c
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parents:
diff
changeset
|
261 |
val goal = fold_rev Logic.all ss |
7f79f94a432c
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parents:
diff
changeset
|
262 |
(HOLogic.mk_Trueprop (mk_talg passiveAs activeAs ss)) |
7f79f94a432c
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parents:
diff
changeset
|
263 |
in |
7f79f94a432c
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parents:
diff
changeset
|
264 |
Skip_Proof.prove lthy [] [] goal |
7f79f94a432c
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parents:
diff
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|
265 |
(K (stac alg_def 1 THEN CONJ_WRAP (K (EVERY' [rtac ballI, rtac UNIV_I] 1)) ss)) |
49109
0e5b859e1c91
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|
266 |
|> Thm.close_derivation |
48975
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|
267 |
end; |
7f79f94a432c
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parents:
diff
changeset
|
268 |
|
7f79f94a432c
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parents:
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changeset
|
269 |
val timer = time (timer "Algebra definition & thms"); |
7f79f94a432c
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parents:
diff
changeset
|
270 |
|
7f79f94a432c
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diff
changeset
|
271 |
val alg_not_empty_thms = |
7f79f94a432c
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parents:
diff
changeset
|
272 |
let |
7f79f94a432c
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parents:
diff
changeset
|
273 |
val alg_prem = |
7f79f94a432c
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parents:
diff
changeset
|
274 |
HOLogic.mk_Trueprop (mk_alg passive_UNIVs Bs ss); |
7f79f94a432c
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parents:
diff
changeset
|
275 |
val concls = map (HOLogic.mk_Trueprop o mk_not_empty) Bs; |
7f79f94a432c
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parents:
diff
changeset
|
276 |
val goals = |
7f79f94a432c
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parents:
diff
changeset
|
277 |
map (fn concl => |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
278 |
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
|
279 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
280 |
map2 (fn goal => fn alg_set => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
281 |
Skip_Proof.prove lthy [] [] |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
282 |
goal (K (mk_alg_not_empty_tac alg_set alg_set_thms wit_thms)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
283 |
|> Thm.close_derivation) |
0e5b859e1c91
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parents:
49074
diff
changeset
|
284 |
goals alg_set_thms |
48975
7f79f94a432c
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parents:
diff
changeset
|
285 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
286 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
287 |
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
|
288 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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diff
changeset
|
289 |
(* morphism *) |
7f79f94a432c
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blanchet
parents:
diff
changeset
|
290 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
291 |
val mor_bind = Binding.suffix_name ("_" ^ morN) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
292 |
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
|
293 |
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
|
294 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
295 |
(*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
|
296 |
(*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
|
297 |
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
|
298 |
val mor_spec = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
299 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
300 |
val 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
|
301 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
302 |
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
|
303 |
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
|
304 |
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
|
305 |
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
|
306 |
(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
|
307 |
(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
|
308 |
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
|
309 |
val rhs = HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
310 |
(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
|
311 |
Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
312 |
(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
|
313 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
314 |
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
|
315 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
316 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
317 |
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
|
318 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
319 |
|> 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
|
320 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
321 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
322 |
(*transforms defined frees into consts*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
323 |
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
|
324 |
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
|
325 |
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
|
326 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
327 |
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
|
328 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
329 |
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
|
330 |
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
|
331 |
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
|
332 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
333 |
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
|
334 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
335 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
336 |
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
|
337 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
338 |
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
|
339 |
fun mk_image_goal f B1 B2 = fold_rev Logic.all (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
|
340 |
(Logic.mk_implies (prem, HOLogic.mk_Trueprop (mk_subset (mk_image f $ B1) B2))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
341 |
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
|
342 |
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
|
343 |
(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
|
344 |
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
|
345 |
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
|
346 |
(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
|
347 |
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
|
348 |
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
|
349 |
fun prove goal = |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
350 |
Skip_Proof.prove 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
|
351 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
352 |
(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
|
353 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
354 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
355 |
val mor_incl_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
356 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
357 |
val prems = map2 (HOLogic.mk_Trueprop oo mk_subset) Bs Bs_copy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
358 |
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
|
359 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
360 |
Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
361 |
(fold_rev Logic.all (Bs @ ss @ Bs_copy) (Logic.list_implies (prems, concl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
362 |
(K (mk_mor_incl_tac mor_def map_id's)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
363 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
364 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
365 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
366 |
val mor_comp_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
367 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
368 |
val prems = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
369 |
[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
|
370 |
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
|
371 |
val concl = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
372 |
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
|
373 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
374 |
Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
375 |
(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
|
376 |
(Logic.list_implies (prems, concl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
377 |
(K (mk_mor_comp_tac mor_def set_natural'ss 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
|
378 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
379 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
380 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
381 |
val mor_inv_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
382 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
383 |
fun mk_inv_prem f inv_f B B' = HOLogic.mk_conj (mk_subset (mk_image inv_f $ B') B, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
384 |
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
|
385 |
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
|
386 |
([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
|
387 |
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
|
388 |
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
|
389 |
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
|
390 |
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
|
391 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
392 |
Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
393 |
(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
|
394 |
(Logic.list_implies (prems, concl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
395 |
(K (mk_mor_inv_tac alg_def mor_def |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
396 |
set_natural'ss morE_thms map_comp_id_thms map_congL_thms)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
397 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
398 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
399 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
400 |
val mor_cong_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
401 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
402 |
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
|
403 |
(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
|
404 |
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
|
405 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
406 |
Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
407 |
(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
|
408 |
(Logic.list_implies (prems, concl))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
409 |
(K ((hyp_subst_tac THEN' atac) 1)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
410 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
411 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
412 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
413 |
val mor_str_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
414 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
415 |
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
|
416 |
(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
|
417 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
418 |
Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
419 |
(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
|
420 |
(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
|
421 |
(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
|
422 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
423 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
424 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
425 |
val mor_convol_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
426 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
427 |
val maps = map3 (fn s => fn prod_s => fn map => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
428 |
mk_convol (HOLogic.mk_comp (s, Term.list_comb (map, passive_ids @ fsts)), prod_s)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
429 |
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
|
430 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
431 |
Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
432 |
(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
|
433 |
(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
|
434 |
(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
|
435 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
436 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
437 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
438 |
val mor_UNIV_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
439 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
440 |
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
|
441 |
(HOLogic.mk_comp (f, s), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
442 |
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
|
443 |
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
|
444 |
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
|
445 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
446 |
Skip_Proof.prove 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
|
447 |
(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
|
448 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
449 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
450 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
451 |
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
|
452 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
453 |
(* isomorphism *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
454 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
455 |
(*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
|
456 |
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
|
457 |
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
|
458 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
459 |
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
|
460 |
(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
|
461 |
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
|
462 |
(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
|
463 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
464 |
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
|
465 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
466 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
467 |
val iso_alt_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
468 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
469 |
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
|
470 |
[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
|
471 |
mk_alg passive_UNIVs B's s's] |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
472 |
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
|
473 |
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
|
474 |
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
|
475 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
476 |
Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
477 |
(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
|
478 |
(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
|
479 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
480 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
481 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
482 |
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
|
483 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
484 |
(* algebra copies *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
485 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
486 |
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
|
487 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
488 |
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
|
489 |
(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
|
490 |
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
|
491 |
(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
|
492 |
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
|
493 |
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
|
494 |
(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
|
495 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
496 |
val alg = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
497 |
(mk_alg passive_UNIVs B's (map5 mk_s fs ss mapsBsAs yFs yFs')); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
498 |
val copy_str_thm = Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
499 |
(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
|
500 |
(Logic.list_implies (all_prems, alg))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
501 |
(K (mk_copy_str_tac set_natural'ss alg_def alg_set_thms)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
502 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
503 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
504 |
val iso = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
505 |
(mk_iso B's (map5 mk_s fs ss mapsBsAs yFs yFs') Bs ss inv_fs fs_copy); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
506 |
val copy_alg_thm = Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
507 |
(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
|
508 |
(Logic.list_implies (all_prems, iso))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
509 |
(K (mk_copy_alg_tac set_natural'ss alg_set_thms mor_def iso_alt_thm copy_str_thm)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
510 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
511 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
512 |
val ex = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
513 |
(list_exists_free s's |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
514 |
(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
|
515 |
mk_iso B's s's Bs ss inv_fs fs_copy))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
516 |
val ex_copy_alg_thm = Skip_Proof.prove lthy [] [] |
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 @ inv_fs @ fs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
518 |
(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
|
519 |
(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
|
520 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
521 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
522 |
(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
|
523 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
524 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
525 |
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
|
526 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
527 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
528 |
(* bounds *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
529 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
530 |
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
|
531 |
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
|
532 |
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
|
533 |
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
|
534 |
if n = 1 then bds |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
535 |
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
|
536 |
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
|
537 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
538 |
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
|
539 |
if n = 1 then bd |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
540 |
else Cnz RS ((Co RS mk_ordLeq_csum n i (Co RS @{thm ordLeq_refl})) RS |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
541 |
(bd RS @{thm ordLeq_transitive[OF _ |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
542 |
cexp_mono2_Cnotzero[OF _ csum_Cnotzero2[OF ctwo_Cnotzero]]]})); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
543 |
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
|
544 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
545 |
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
|
546 |
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
|
547 |
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
|
548 |
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
|
549 |
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
|
550 |
| mk_Asuc_bd As = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
551 |
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
|
552 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
553 |
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
|
554 |
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
|
555 |
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
|
556 |
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
|
557 |
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
|
558 |
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
|
559 |
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
|
560 |
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
|
561 |
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
|
562 |
val Asuc_bd_Cnotzero = Asuc_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
|
563 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
564 |
val suc_bd_Asuc_bd = @{thm ordLess_ordLeq_trans[OF |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
565 |
ordLess_ctwo_cexp |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
566 |
cexp_mono1_Cnotzero[OF _ ctwo_Cnotzero]]} OF |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
567 |
[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
|
568 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
569 |
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
|
570 |
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
|
571 |
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
|
572 |
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
|
573 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
574 |
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
|
575 |
names_lthy) = names_lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
576 |
|> 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
|
577 |
||>> (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
|
578 |
||>> 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
|
579 |
||>> 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
|
580 |
||>> mk_Frees "IIB" II_BTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
581 |
||>> mk_Frees "IIs" II_sTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
582 |
||>> 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
|
583 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
584 |
val suc_bd_limit_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
585 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
586 |
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
|
587 |
(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
|
588 |
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
|
589 |
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
|
590 |
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
|
591 |
(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
|
592 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
593 |
Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
594 |
(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
|
595 |
(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
|
596 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
597 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
598 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
599 |
val timer = time (timer "Bounds"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
600 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
601 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
602 |
(* minimal algebra *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
603 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
604 |
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
|
605 |
(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
|
606 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
607 |
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
|
608 |
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
|
609 |
(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
|
610 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
611 |
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
|
612 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
613 |
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
|
614 |
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
|
615 |
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
|
616 |
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
|
617 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
618 |
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
|
619 |
(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
|
620 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
621 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
622 |
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
|
623 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
624 |
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
|
625 |
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
|
626 |
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
|
627 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
628 |
val concl = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
629 |
(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
|
630 |
(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
|
631 |
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
|
632 |
(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
|
633 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
634 |
val min_algs_thm = Skip_Proof.prove lthy [] [] goal |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
635 |
(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
|
636 |
|> Thm.close_derivation; |
48975
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 |
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
|
639 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
640 |
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
|
641 |
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
|
642 |
(Term.absfree idx' min_alg))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
643 |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
644 |
val monos = |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
645 |
map2 (fn goal => fn min_algs => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
646 |
Skip_Proof.prove lthy [] [] goal (K (mk_min_algs_mono_tac min_algs)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
647 |
|> Thm.close_derivation) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
648 |
(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
|
649 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
650 |
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
|
651 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
652 |
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
|
653 |
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
|
654 |
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
|
655 |
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
|
656 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
657 |
val card_of = singleton (Proof_Context.export names_lthy lthy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
658 |
(Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
659 |
(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
|
660 |
(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
|
661 |
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
|
662 |
sum_Card_order sum_Cnotzero suc_bd_Card_order suc_bd_Cinfinite suc_bd_Cnotzero |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
663 |
suc_bd_Asuc_bd Asuc_bd_Cinfinite Asuc_bd_Cnotzero))) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
664 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
665 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
666 |
val least_prem = HOLogic.mk_Trueprop (mk_alg As Bs ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
667 |
val least_conjunction = Library.foldr1 HOLogic.mk_conj (map2 mk_subset min_algss Bs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
668 |
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
|
669 |
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
|
670 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
671 |
val least = singleton (Proof_Context.export names_lthy lthy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
672 |
(Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
673 |
(Logic.mk_implies (least_prem, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
674 |
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
|
675 |
(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
|
676 |
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
|
677 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
678 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
679 |
(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
|
680 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
681 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
682 |
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
|
683 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
684 |
fun min_alg_bind i = Binding.suffix_name |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
685 |
("_" ^ min_algN ^ (if n = 1 then "" else string_of_int i)) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
686 |
val min_alg_name = Binding.name_of o min_alg_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
687 |
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
|
688 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
689 |
fun min_alg_spec i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
690 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
691 |
val min_algT = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
692 |
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
|
693 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
694 |
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
|
695 |
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
|
696 |
(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
|
697 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
698 |
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
|
699 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
700 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
701 |
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
|
702 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
703 |
|> 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
|
704 |
(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
|
705 |
|>> 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
|
706 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
707 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
708 |
(*transforms defined frees into consts*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
709 |
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
|
710 |
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
|
711 |
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
|
712 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
713 |
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
|
714 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
715 |
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
|
716 |
val args = As @ ss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
717 |
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
|
718 |
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
|
719 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
720 |
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
|
721 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
722 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
723 |
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
|
724 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
725 |
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
|
726 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
727 |
val goal = fold_rev Logic.all (As @ ss) (HOLogic.mk_Trueprop (mk_alg As min_algs ss)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
728 |
val alg_min_alg = Skip_Proof.prove lthy [] [] goal |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
729 |
(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
|
730 |
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
|
731 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
732 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
733 |
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
|
734 |
fun mk_card_of_thm min_alg def = Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
735 |
(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
|
736 |
(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
|
737 |
(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
|
738 |
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
|
739 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
740 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
741 |
val least_prem = HOLogic.mk_Trueprop (mk_alg As Bs ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
742 |
fun mk_least_thm min_alg B def = Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
743 |
(fold_rev Logic.all (As @ Bs @ ss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
744 |
(Logic.mk_implies (least_prem, HOLogic.mk_Trueprop (mk_subset min_alg B)))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
745 |
(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
|
746 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
747 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
748 |
val 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
|
749 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
750 |
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
|
751 |
val incl_min_algs = map (mk_min_alg passive_UNIVs ss) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
752 |
val incl = Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
753 |
(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
|
754 |
(Logic.mk_implies (incl_prem, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
755 |
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
|
756 |
(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
|
757 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
758 |
in |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
759 |
(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
|
760 |
end; |
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 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
|
763 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
764 |
val II_repT = HOLogic.mk_prodT (HOLogic.mk_tupleT II_BTs, HOLogic.mk_tupleT II_sTs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
765 |
val IIT_bind = Binding.suffix_name ("_" ^ IITN) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
766 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
767 |
val ((IIT_name, (IIT_glob_info, IIT_loc_info)), lthy) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
768 |
typedef true NONE (IIT_bind, params, NoSyn) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
769 |
(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
|
770 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
771 |
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
|
772 |
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
|
773 |
val Rep_IIT = Const (#Rep_name IIT_glob_info, IIT --> II_repT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
774 |
val Abs_IIT_inverse_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
775 |
mk_Abs_inverse_thm (the (#set_def IIT_loc_info)) (#Abs_inverse IIT_loc_info); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
776 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
777 |
val initT = IIT --> Asuc_bdT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
778 |
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
|
779 |
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
|
780 |
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
|
781 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
782 |
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
|
783 |
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
|
784 |
|> 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
|
785 |
||>> mk_Frees "ix" active_initTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
786 |
||>> mk_Frees' "x" init_FTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
787 |
||>> mk_Frees "f" init_fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
788 |
||>> mk_Frees "f" init_fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
789 |
||>> mk_Frees "phi" (replicate n (initT --> HOLogic.boolT)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
790 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
791 |
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
|
792 |
(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
|
793 |
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
|
794 |
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
|
795 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
796 |
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
|
797 |
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
|
798 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
799 |
fun str_init_bind i = Binding.suffix_name ("_" ^ str_initN ^ (if n = 1 then "" else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
800 |
string_of_int i)) b; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
801 |
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
|
802 |
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
|
803 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
804 |
fun str_init_spec i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
805 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
806 |
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
|
807 |
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
|
808 |
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
|
809 |
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
|
810 |
(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
|
811 |
(nth bnfs (i - 1)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
812 |
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
|
813 |
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
|
814 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
815 |
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
|
816 |
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
|
817 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
818 |
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
|
819 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
820 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
821 |
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
|
822 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
823 |
|> 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
|
824 |
(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
|
825 |
|>> 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
|
826 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
827 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
828 |
(*transforms defined frees into consts*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
829 |
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
|
830 |
val str_inits = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
831 |
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
|
832 |
str_init_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
833 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
834 |
val 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
|
835 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
836 |
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
|
837 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
838 |
(*TODO: replace with instantiate? (problem: figure out right type instantiation)*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
839 |
val alg_init_thm = Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
840 |
(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
|
841 |
(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
|
842 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
843 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
844 |
val alg_select_thm = Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
845 |
(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
|
846 |
(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
|
847 |
(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
|
848 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
849 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
850 |
val mor_select_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
851 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
852 |
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
|
853 |
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
|
854 |
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
|
855 |
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
|
856 |
val concl = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
857 |
(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
|
858 |
(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
|
859 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
860 |
Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
861 |
(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
|
862 |
(K (mk_mor_select_tac mor_def mor_cong_thm mor_comp_thm mor_incl_min_alg_thm alg_def |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
863 |
alg_select_thm alg_set_thms set_natural'ss str_init_defs)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
864 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
865 |
end; |
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 (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
|
868 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
869 |
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
|
870 |
val concl = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
871 |
(list_exists_free init_fs (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
|
872 |
val ex_mor = Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
873 |
(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
|
874 |
(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
|
875 |
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
|
876 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
877 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
878 |
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
|
879 |
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
|
880 |
[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
|
881 |
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
|
882 |
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
|
883 |
val unique = HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
884 |
(Library.foldr1 HOLogic.mk_conj (map3 mk_fun_eq init_fs init_fs_copy init_xs)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
885 |
val unique_mor = Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
886 |
(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
|
887 |
(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
|
888 |
(K (mk_init_unique_mor_tac m alg_def alg_init_thm least_min_alg_thms |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
889 |
in_mono'_thms alg_set_thms morE_thms map_congs)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
890 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
891 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
892 |
(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
|
893 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
894 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
895 |
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
|
896 |
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
|
897 |
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
|
898 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
899 |
fun mk_closed phis = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
900 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
901 |
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
|
902 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
903 |
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
|
904 |
(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
|
905 |
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
|
906 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
907 |
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
|
908 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
909 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
910 |
Library.foldr1 HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
911 |
(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
|
912 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
913 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
914 |
val init_induct_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
915 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
916 |
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
|
917 |
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
|
918 |
(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
|
919 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
920 |
Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
921 |
(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
|
922 |
(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
|
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 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
925 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
926 |
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
|
927 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
928 |
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
|
929 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
930 |
|> fold_map2 (fn b => fn car_init => typedef true NONE (b, params, NoSyn) car_init NONE |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
931 |
(EVERY' [rtac ssubst, rtac @{thm ex_in_conv}, resolve_tac alg_not_empty_thms, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
932 |
rtac alg_init_thm] 1)) bs car_inits |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
933 |
|>> 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
|
934 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
935 |
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
|
936 |
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
|
937 |
val Ts' = mk_Ts passiveBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
938 |
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
|
939 |
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
|
940 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
941 |
val set_defs = map (the o #set_def) T_loc_infos; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
942 |
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
|
943 |
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
|
944 |
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
|
945 |
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
|
946 |
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
|
947 |
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
|
948 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
949 |
val T_subset1s = map mk_T_subset1 set_defs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
950 |
val T_subset2s = map mk_T_subset2 set_defs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
951 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
952 |
fun mk_inver_thm mk_tac rep abs X thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
953 |
Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
954 |
(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
|
955 |
(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
|
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 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
958 |
val inver_Reps = map4 (mk_inver_thm rtac) Abs_Ts Rep_Ts (map HOLogic.mk_UNIV Ts) Rep_inverses; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
959 |
val inver_Abss = map4 (mk_inver_thm etac) Rep_Ts Abs_Ts car_inits |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
960 |
(map2 (curry op RS) T_subset1s Abs_inverses); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
961 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
962 |
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
|
963 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
964 |
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
|
965 |
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
|
966 |
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
|
967 |
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
|
968 |
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
|
969 |
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
|
970 |
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
|
971 |
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
|
972 |
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
|
973 |
val fTs = map2 (curry op -->) Ts activeAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
974 |
val iterT = Library.foldr1 HOLogic.mk_prodT (map2 (curry op -->) Ts activeAs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
975 |
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
|
976 |
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
|
977 |
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
|
978 |
val rec_fsts = map (Term.subst_atomic_types (activeBs ~~ Ts)) fsts; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
979 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
980 |
val (((((((((((Izs, (Izs1, Izs1')), (Izs2, Izs2')), (xFs, xFs')), yFs), (AFss, AFss')), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
981 |
(iter_f, iter_f')), fs), phis), phi2s), rec_ss), names_lthy) = names_lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
982 |
|> mk_Frees "z" Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
983 |
||>> mk_Frees' "z1" Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
984 |
||>> mk_Frees' "z2" Ts' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
985 |
||>> mk_Frees' "x" FTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
986 |
||>> mk_Frees "y" FTs' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
987 |
||>> mk_Freess' "z" setFTss |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
988 |
||>> yield_singleton (apfst (op ~~) oo mk_Frees' "f") iterT |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
989 |
||>> mk_Frees "f" fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
990 |
||>> mk_Frees "phi" (map (fn T => T --> HOLogic.boolT) Ts) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
991 |
||>> mk_Frees "phi" (map2 (fn T => fn U => T --> U --> HOLogic.boolT) Ts Ts') |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
992 |
||>> mk_Frees "s" rec_sTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
993 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
994 |
fun fld_bind i = Binding.suffix_name ("_" ^ fldN) (nth bs (i - 1)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
995 |
val fld_name = Binding.name_of o fld_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
996 |
val fld_def_bind = rpair [] o Thm.def_binding o fld_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
997 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
998 |
fun fld_spec i abs str map_FT_init x x' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
999 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1000 |
val fldT = nth FTs (i - 1) --> nth Ts (i - 1); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1001 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1002 |
val lhs = Free (fld_name i, fldT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1003 |
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
|
1004 |
(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
|
1005 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1006 |
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
|
1007 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1008 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1009 |
val ((fld_frees, (_, fld_def_frees)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1010 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1011 |
|> fold_map6 (fn i => fn abs => fn str => fn map => fn x => fn x' => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1012 |
Specification.definition |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1013 |
(SOME (fld_bind i, NONE, NoSyn), (fld_def_bind i, fld_spec i abs str map x x'))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1014 |
ks Abs_Ts str_inits map_FT_inits xFs xFs' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1015 |
|>> 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
|
1016 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1017 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1018 |
(*transforms defined frees into consts*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1019 |
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
|
1020 |
fun mk_flds passive = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1021 |
map (Term.subst_atomic_types (map (Morphism.typ phi) params' ~~ (deads @ passive)) o |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1022 |
Morphism.term phi) fld_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1023 |
val flds = mk_flds passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1024 |
val fld's = mk_flds passiveBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1025 |
val fld_defs = map (Morphism.thm phi) fld_def_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1026 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1027 |
val (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
|
1028 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1029 |
val copy = alg_init_thm RS copy_alg_thm; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1030 |
fun mk_bij inj subset1 subset2 Rep cases = @{thm bij_betwI'} OF |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1031 |
[inj, Rep RS subset2, subset1 RS cases]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1032 |
val bijs = map5 mk_bij Rep_injects T_subset1s T_subset2s Reps Rep_casess; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1033 |
val mor_Rep = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1034 |
Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1035 |
(HOLogic.mk_Trueprop (mk_mor UNIVs flds car_inits str_inits Rep_Ts)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1036 |
(mk_mor_Rep_tac fld_defs copy bijs inver_Abss inver_Reps) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1037 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1038 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1039 |
val 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
|
1040 |
val mor_Abs = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1041 |
Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1042 |
(HOLogic.mk_Trueprop (mk_mor car_inits str_inits UNIVs flds Abs_Ts)) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1043 |
(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
|
1044 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1045 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1046 |
(mor_Rep, mor_Abs) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1047 |
end; |
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 timer = time (timer "fld definitions & thms"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1050 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1051 |
val iter_fun = Term.absfree iter_f' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1052 |
(mk_mor UNIVs flds active_UNIVs ss (map (mk_nthN n iter_f) ks)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1053 |
val iter = HOLogic.choice_const iterT $ iter_fun; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1054 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1055 |
fun iter_bind i = Binding.suffix_name ("_" ^ iterN) (nth bs (i - 1)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1056 |
val iter_name = Binding.name_of o iter_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1057 |
val iter_def_bind = rpair [] o Thm.def_binding o iter_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1058 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1059 |
fun iter_spec i T AT = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1060 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1061 |
val iterT = Library.foldr (op -->) (sTs, T --> AT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1062 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1063 |
val lhs = Term.list_comb (Free (iter_name i, iterT), ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1064 |
val rhs = mk_nthN n iter i; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1065 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1066 |
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
|
1067 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1068 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1069 |
val ((iter_frees, (_, iter_def_frees)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1070 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1071 |
|> fold_map3 (fn i => fn T => fn AT => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1072 |
Specification.definition |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1073 |
(SOME (iter_bind i, NONE, NoSyn), (iter_def_bind i, iter_spec i T AT))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1074 |
ks Ts activeAs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1075 |
|>> 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
|
1076 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1077 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1078 |
(*transforms defined frees into consts*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1079 |
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
|
1080 |
val iters = map (fst o dest_Const o Morphism.term phi) iter_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1081 |
fun mk_iter Ts ss i = Term.list_comb (Const (nth iters (i - 1), Library.foldr (op -->) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1082 |
(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
|
1083 |
val iter_defs = map (Morphism.thm phi) iter_def_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1084 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1085 |
val mor_iter_thm = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1086 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1087 |
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
|
1088 |
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
|
1089 |
val mor_comp = mor_Rep_thm RS mor_comp_thm; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1090 |
val cT = certifyT lthy iterT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1091 |
val ct = certify lthy iter_fun |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1092 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1093 |
singleton (Proof_Context.export names_lthy lthy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1094 |
(Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1095 |
(HOLogic.mk_Trueprop (mk_mor UNIVs flds active_UNIVs ss (map (mk_iter Ts ss) ks))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1096 |
(K (mk_mor_iter_tac cT ct iter_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
|
1097 |
|> Thm.close_derivation |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1098 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1099 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1100 |
val iter_thms = map (fn morE => rule_by_tactic lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1101 |
((rtac CollectI THEN' CONJ_WRAP' (K (rtac @{thm subset_UNIV})) (1 upto m + n)) 1) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1102 |
(mor_iter_thm RS morE)) morE_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1103 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1104 |
val (iter_unique_mor_thms, iter_unique_mor_thm) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1105 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1106 |
val prem = HOLogic.mk_Trueprop (mk_mor UNIVs flds active_UNIVs ss fs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1107 |
fun mk_fun_eq f i = HOLogic.mk_eq (f, mk_iter Ts ss i); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1108 |
val unique = HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 mk_fun_eq fs ks)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1109 |
val unique_mor = Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1110 |
(fold_rev Logic.all (ss @ fs) (Logic.mk_implies (prem, unique))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1111 |
(K (mk_iter_unique_mor_tac type_defs init_unique_mor_thms T_subset2s Reps |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1112 |
mor_comp_thm mor_Abs_thm mor_iter_thm)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1113 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1114 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1115 |
`split_conj_thm unique_mor |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1116 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1117 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1118 |
val (iter_unique_thms, iter_unique_thm) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1119 |
`split_conj_thm (mk_conjIN n RS |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1120 |
(mor_UNIV_thm RS @{thm ssubst[of _ _ "%x. x"]} RS iter_unique_mor_thm)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1121 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1122 |
val iter_fld_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1123 |
map (fn thm => (mor_incl_thm OF replicate n @{thm subset_UNIV}) RS thm RS sym) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1124 |
iter_unique_mor_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1125 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1126 |
val fld_o_iter_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1127 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1128 |
val mor = mor_comp_thm OF [mor_iter_thm, mor_str_thm]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1129 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1130 |
map2 (fn unique => fn iter_fld => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1131 |
trans OF [mor RS unique, iter_fld]) iter_unique_mor_thms iter_fld_thms |
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 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1134 |
val timer = time (timer "iter definitions & thms"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1135 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1136 |
val map_flds = map2 (fn Ds => fn bnf => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1137 |
Term.list_comb (mk_map_of_bnf Ds (passiveAs @ FTs) (passiveAs @ Ts) bnf, |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1138 |
map HOLogic.id_const passiveAs @ flds)) Dss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1139 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1140 |
fun unf_bind i = Binding.suffix_name ("_" ^ unfN) (nth bs (i - 1)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1141 |
val unf_name = Binding.name_of o unf_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1142 |
val unf_def_bind = rpair [] o Thm.def_binding o unf_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1143 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1144 |
fun unf_spec i FT T = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1145 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1146 |
val unfT = T --> FT; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1147 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1148 |
val lhs = Free (unf_name i, unfT); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1149 |
val rhs = mk_iter Ts map_flds i; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1150 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1151 |
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
|
1152 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1153 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1154 |
val ((unf_frees, (_, unf_def_frees)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1155 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1156 |
|> fold_map3 (fn i => fn FT => fn T => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1157 |
Specification.definition |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1158 |
(SOME (unf_bind i, NONE, NoSyn), (unf_def_bind i, unf_spec i FT T))) ks FTs Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1159 |
|>> 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
|
1160 |
||> `Local_Theory.restore; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1161 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1162 |
(*transforms defined frees into consts*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1163 |
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
|
1164 |
fun mk_unfs params = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1165 |
map (Term.subst_atomic_types (map (Morphism.typ phi) params' ~~ params) o Morphism.term phi) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1166 |
unf_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1167 |
val unfs = mk_unfs params'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1168 |
val unf_defs = map (Morphism.thm phi) unf_def_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1169 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1170 |
val fld_o_unf_thms = map2 (Local_Defs.fold lthy o single) unf_defs fld_o_iter_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1171 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1172 |
val unf_o_fld_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1173 |
let |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1174 |
fun mk_goal unf fld FT = mk_Trueprop_eq (HOLogic.mk_comp (unf, fld), HOLogic.id_const FT); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1175 |
val goals = map3 mk_goal unfs flds FTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1176 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1177 |
map5 (fn goal => fn unf_def => fn iter => fn map_comp_id => fn map_congL => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1178 |
Skip_Proof.prove lthy [] [] goal |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1179 |
(K (mk_unf_o_fld_tac unf_def iter map_comp_id map_congL fld_o_iter_thms)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1180 |
|> Thm.close_derivation) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1181 |
goals unf_defs iter_thms map_comp_id_thms map_congL_thms |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1182 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1183 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1184 |
val unf_fld_thms = map (fn thm => thm RS @{thm pointfree_idE}) unf_o_fld_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1185 |
val fld_unf_thms = map (fn thm => thm RS @{thm pointfree_idE}) fld_o_unf_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1186 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1187 |
val bij_unf_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1188 |
map2 (fn thm1 => fn thm2 => @{thm o_bij} OF [thm1, thm2]) fld_o_unf_thms unf_o_fld_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1189 |
val inj_unf_thms = map (fn thm => thm RS @{thm bij_is_inj}) bij_unf_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1190 |
val surj_unf_thms = map (fn thm => thm RS @{thm bij_is_surj}) bij_unf_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1191 |
val unf_nchotomy_thms = map (fn thm => thm RS @{thm surjD}) surj_unf_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1192 |
val unf_inject_thms = map (fn thm => thm RS @{thm inj_eq}) inj_unf_thms; |
49029 | 1193 |
val unf_exhaust_thms = map (fn thm => thm RS exE) unf_nchotomy_thms; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1194 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1195 |
val bij_fld_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1196 |
map2 (fn thm1 => fn thm2 => @{thm o_bij} OF [thm1, thm2]) unf_o_fld_thms fld_o_unf_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1197 |
val inj_fld_thms = map (fn thm => thm RS @{thm bij_is_inj}) bij_fld_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1198 |
val surj_fld_thms = map (fn thm => thm RS @{thm bij_is_surj}) bij_fld_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1199 |
val fld_nchotomy_thms = map (fn thm => thm RS @{thm surjD}) surj_fld_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1200 |
val fld_inject_thms = map (fn thm => thm RS @{thm inj_eq}) inj_fld_thms; |
49029 | 1201 |
val fld_exhaust_thms = map (fn thm => thm RS exE) fld_nchotomy_thms; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1202 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1203 |
val timer = time (timer "unf definitions & thms"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1204 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1205 |
val fst_rec_pair_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1206 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1207 |
val mor = mor_comp_thm OF [mor_iter_thm, mor_convol_thm]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1208 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1209 |
map2 (fn unique => fn iter_fld => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1210 |
trans OF [mor RS unique, iter_fld]) iter_unique_mor_thms iter_fld_thms |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1211 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1212 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1213 |
fun rec_bind i = Binding.suffix_name ("_" ^ recN) (nth bs (i - 1)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1214 |
val rec_name = Binding.name_of o rec_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1215 |
val rec_def_bind = rpair [] o Thm.def_binding o rec_bind; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1216 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1217 |
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
|
1218 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1219 |
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
|
1220 |
val maps = map3 (fn fld => fn prod_s => fn map => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1221 |
mk_convol (HOLogic.mk_comp (fld, Term.list_comb (map, passive_ids @ rec_fsts)), prod_s)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1222 |
flds rec_ss rec_maps; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1223 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1224 |
val lhs = Term.list_comb (Free (rec_name i, recT), rec_ss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1225 |
val rhs = HOLogic.mk_comp (snd_const (HOLogic.mk_prodT (T, AT)), mk_iter Ts maps i); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1226 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1227 |
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
|
1228 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1229 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1230 |
val ((rec_frees, (_, rec_def_frees)), (lthy, lthy_old)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1231 |
lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1232 |
|> fold_map3 (fn i => fn T => fn AT => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1233 |
Specification.definition |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1234 |
(SOME (rec_bind i, NONE, NoSyn), (rec_def_bind i, rec_spec i T AT))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1235 |
ks Ts activeAs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1236 |
|>> 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
|
1237 |
||> `Local_Theory.restore; |
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 |
(*transforms defined frees into consts*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1240 |
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
|
1241 |
val recs = map (fst o dest_Const o Morphism.term phi) rec_frees; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1242 |
fun mk_rec ss i = Term.list_comb (Const (nth recs (i - 1), Library.foldr (op -->) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1243 |
(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
|
1244 |
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
|
1245 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1246 |
val convols = map2 (fn T => fn i => mk_convol (HOLogic.id_const T, mk_rec rec_ss i)) Ts ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1247 |
val rec_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1248 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1249 |
fun mk_goal i rec_s rec_map fld x = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1250 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1251 |
val lhs = mk_rec rec_ss i $ (fld $ x); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1252 |
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
|
1253 |
in |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1254 |
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
|
1255 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1256 |
val goals = map5 mk_goal ks rec_ss rec_maps_rev flds xFs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1257 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1258 |
map2 (fn goal => fn iter => |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1259 |
Skip_Proof.prove lthy [] [] goal (mk_rec_tac rec_defs iter fst_rec_pair_thms) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1260 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1261 |
goals iter_thms |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1262 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1263 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1264 |
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
|
1265 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1266 |
val (fld_induct_thm, induct_params) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1267 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1268 |
fun mk_prem phi fld sets x = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1269 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1270 |
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
|
1271 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1272 |
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
|
1273 |
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
|
1274 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1275 |
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
|
1276 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1277 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1278 |
val IHs = map3 mk_IH phis (drop m sets) Izs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1279 |
val concl = HOLogic.mk_Trueprop (phi $ (fld $ x)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1280 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1281 |
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
|
1282 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1283 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1284 |
val prems = map4 mk_prem phis flds FTs_setss xFs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1285 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1286 |
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
|
1287 |
val concl = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1288 |
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
|
1289 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1290 |
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
|
1291 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1292 |
(Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1293 |
(fold_rev Logic.all (phis @ Izs) goal) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1294 |
(K (mk_fld_induct_tac m set_natural'ss init_induct_thm morE_thms mor_Abs_thm |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1295 |
Rep_inverses Abs_inverses Reps T_subset1s T_subset2s)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1296 |
|> Thm.close_derivation, |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1297 |
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
|
1298 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1299 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1300 |
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
|
1301 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1302 |
val weak_fld_induct_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1303 |
let fun insts i = (replicate (i - 1) TrueI) @ (@{thm asm_rl} :: replicate (n - i) TrueI); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1304 |
in map (fn i => (fld_induct_thm OF insts i) RS mk_conjunctN n i) ks end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1305 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1306 |
val (fld_induct2_thm, induct2_params) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1307 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1308 |
fun mk_prem phi fld fld' sets sets' x y = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1309 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1310 |
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
|
1311 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1312 |
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
|
1313 |
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
|
1314 |
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
|
1315 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1316 |
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
|
1317 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1318 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1319 |
val IHs = map5 mk_IH phi2s (drop m sets) (drop m sets') Izs1 Izs2; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1320 |
val concl = HOLogic.mk_Trueprop (phi $ (fld $ x) $ (fld' $ y)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1321 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1322 |
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
|
1323 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1324 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1325 |
val prems = map7 mk_prem phi2s flds fld's FTs_setss FTs'_setss xFs yFs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1326 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1327 |
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
|
1328 |
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
|
1329 |
(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
|
1330 |
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
|
1331 |
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
|
1332 |
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
|
1333 |
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
|
1334 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1335 |
(singleton (Proof_Context.export names_lthy lthy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1336 |
(Skip_Proof.prove lthy [] [] goal |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1337 |
(mk_fld_induct2_tac cTs cts fld_induct_thm weak_fld_induct_thms)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1338 |
|> Thm.close_derivation, |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1339 |
rev (Term.add_tfrees goal [])) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1340 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1341 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1342 |
val timer = time (timer "induction"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1343 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1344 |
(*register new datatypes as BNFs*) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1345 |
val lthy = if m = 0 then lthy else |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1346 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1347 |
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
|
1348 |
val f1Ts = map2 (curry op -->) passiveAs passiveYs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1349 |
val f2Ts = map2 (curry op -->) passiveBs passiveYs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1350 |
val p1Ts = map2 (curry op -->) passiveXs passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1351 |
val p2Ts = map2 (curry op -->) passiveXs passiveBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1352 |
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
|
1353 |
val B1Ts = map HOLogic.mk_setT passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1354 |
val B2Ts = map HOLogic.mk_setT passiveBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1355 |
val AXTs = map HOLogic.mk_setT passiveXs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1356 |
val XTs = mk_Ts passiveXs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1357 |
val YTs = mk_Ts passiveYs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1358 |
val IRTs = map2 (curry mk_relT) passiveAs passiveBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1359 |
val IphiTs = map2 (fn T => fn U => T --> U --> HOLogic.boolT) passiveAs passiveBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1360 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1361 |
val (((((((((((((((fs, fs'), fs_copy), us), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1362 |
B1s), B2s), AXs), (xs, xs')), f1s), f2s), p1s), p2s), (ys, ys')), IRs), Iphis), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1363 |
names_lthy) = names_lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1364 |
|> mk_Frees' "f" fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1365 |
||>> mk_Frees "f" fTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1366 |
||>> mk_Frees "u" uTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1367 |
||>> mk_Frees "B1" B1Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1368 |
||>> mk_Frees "B2" B2Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1369 |
||>> mk_Frees "A" AXTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1370 |
||>> mk_Frees' "x" XTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1371 |
||>> mk_Frees "f1" f1Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1372 |
||>> mk_Frees "f2" f2Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1373 |
||>> mk_Frees "p1" p1Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1374 |
||>> mk_Frees "p2" p2Ts |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1375 |
||>> mk_Frees' "y" passiveAs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1376 |
||>> mk_Frees "R" IRTs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1377 |
||>> mk_Frees "phi" IphiTs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1378 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1379 |
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
|
1380 |
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
|
1381 |
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
|
1382 |
map2 (fn Ds => mk_map_of_bnf Ds (ATs @ Ts) (BTs @ Ts)) Dss bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1383 |
fun mk_map_iter_arg fs Ts fld fmap = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1384 |
HOLogic.mk_comp (fld, Term.list_comb (fmap, fs @ map HOLogic.id_const Ts)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1385 |
fun mk_map Ts fs Ts' flds mk_maps = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1386 |
mk_iter Ts (map2 (mk_map_iter_arg fs Ts') flds (mk_maps Ts')); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1387 |
val pmapsABT' = mk_passive_maps passiveAs passiveBs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1388 |
val fs_maps = map (mk_map Ts fs Ts' fld's pmapsABT') ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1389 |
val fs_copy_maps = map (mk_map Ts fs_copy Ts' fld's pmapsABT') ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1390 |
val Yflds = mk_flds passiveYs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1391 |
val f1s_maps = map (mk_map Ts f1s YTs Yflds (mk_passive_maps passiveAs passiveYs)) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1392 |
val f2s_maps = map (mk_map Ts' f2s YTs Yflds (mk_passive_maps passiveBs passiveYs)) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1393 |
val p1s_maps = map (mk_map XTs p1s Ts flds (mk_passive_maps passiveXs passiveAs)) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1394 |
val p2s_maps = map (mk_map XTs p2s Ts' fld's (mk_passive_maps passiveXs passiveBs)) ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1395 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1396 |
val (map_simp_thms, map_thms) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1397 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1398 |
fun mk_goal fs_map map fld fld' = fold_rev Logic.all fs |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1399 |
(mk_Trueprop_eq (HOLogic.mk_comp (fs_map, fld), |
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1400 |
HOLogic.mk_comp (fld', Term.list_comb (map, fs @ fs_maps)))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1401 |
val goals = map4 mk_goal fs_maps map_FTFT's flds fld's; |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1402 |
val maps = |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1403 |
map4 (fn goal => fn iter => fn map_comp_id => fn map_cong => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1404 |
Skip_Proof.prove lthy [] [] goal (K (mk_map_tac m n iter map_comp_id map_cong)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1405 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1406 |
goals iter_thms map_comp_id_thms map_congs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1407 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1408 |
map_split (fn thm => (thm RS @{thm pointfreeE}, thm)) maps |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1409 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1410 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1411 |
val (map_unique_thms, map_unique_thm) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1412 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1413 |
fun mk_prem u map fld fld' = |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1414 |
mk_Trueprop_eq (HOLogic.mk_comp (u, fld), |
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1415 |
HOLogic.mk_comp (fld', Term.list_comb (map, fs @ us))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1416 |
val prems = map4 mk_prem us map_FTFT's flds fld's; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1417 |
val goal = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1418 |
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
|
1419 |
(map2 (curry HOLogic.mk_eq) us fs_maps)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1420 |
val unique = Skip_Proof.prove lthy [] [] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1421 |
(fold_rev Logic.all (us @ fs) (Logic.list_implies (prems, goal))) |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1422 |
(K (mk_map_unique_tac m mor_def iter_unique_mor_thm map_comp_id_thms map_congs)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1423 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1424 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1425 |
`split_conj_thm unique |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1426 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1427 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1428 |
val timer = time (timer "map functions for the new datatypes"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1429 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1430 |
val bd = mk_cpow sum_bd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1431 |
val bd_Cinfinite = sum_Cinfinite RS @{thm Cinfinite_cpow}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1432 |
fun mk_cpow_bd thm = @{thm ordLeq_transitive} OF |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1433 |
[thm, sum_Card_order RS @{thm cpow_greater_eq}]; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1434 |
val set_bd_cpowss = map (map mk_cpow_bd) set_bd_sumss; |
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 timer = time (timer "bounds for the new datatypes"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1437 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1438 |
val ls = 1 upto m; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1439 |
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
|
1440 |
val map_setss = map (fn T => map2 (fn Ds => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1441 |
mk_map_of_bnf Ds (passiveAs @ Ts) (mk_set_Ts T)) Dss bnfs) passiveAs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1442 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1443 |
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
|
1444 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1445 |
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
|
1446 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1447 |
Term.absfree z' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1448 |
(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
|
1449 |
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
|
1450 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1451 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1452 |
val colss = map5 (fn l => fn T => map3 (mk_col l T)) ls passiveAs AFss AFss' setsss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1453 |
val setss_by_range = map (fn cols => map (mk_iter Ts cols) ks) colss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1454 |
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
|
1455 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1456 |
val (set_simp_thmss, set_thmss) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1457 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1458 |
fun mk_goal sets fld set col map = |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1459 |
mk_Trueprop_eq (HOLogic.mk_comp (set, fld), |
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1460 |
HOLogic.mk_comp (col, Term.list_comb (map, passive_ids @ sets))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1461 |
val goalss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1462 |
map3 (fn sets => map4 (mk_goal sets) flds sets) setss_by_range colss map_setss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1463 |
val setss = map (map2 (fn iter => fn goal => |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1464 |
Skip_Proof.prove lthy [] [] goal (K (mk_set_tac iter)) |> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1465 |
iter_thms) goalss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1466 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1467 |
fun mk_simp_goal pas_set act_sets sets fld z set = |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1468 |
Logic.all z (mk_Trueprop_eq (set $ (fld $ z), |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1469 |
mk_union (pas_set $ z, |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1470 |
Library.foldl1 mk_union (map2 (fn X => mk_UNION (X $ z)) act_sets sets)))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1471 |
val simp_goalss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1472 |
map2 (fn i => fn sets => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1473 |
map4 (fn Fsets => mk_simp_goal (nth Fsets (i - 1)) (drop m Fsets) sets) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1474 |
FTs_setss flds xFs sets) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1475 |
ls setss_by_range; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1476 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1477 |
val set_simpss = map3 (fn i => map3 (fn set_nats => fn goal => fn set => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1478 |
Skip_Proof.prove lthy [] [] goal |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1479 |
(K (mk_set_simp_tac set (nth set_nats (i - 1)) (drop m set_nats))) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1480 |
|> Thm.close_derivation) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1481 |
set_natural'ss) ls simp_goalss setss; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1482 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1483 |
(set_simpss, setss) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1484 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1485 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1486 |
fun mk_set_thms set_simp = (@{thm xt1(3)} OF [set_simp, @{thm Un_upper1}]) :: |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1487 |
map (fn i => (@{thm xt1(3)} OF [set_simp, @{thm Un_upper2}]) RS |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1488 |
(mk_Un_upper n i RS subset_trans) RSN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1489 |
(2, @{thm UN_upper} RS subset_trans)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1490 |
(1 upto n); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1491 |
val Fset_set_thmsss = transpose (map (map mk_set_thms) set_simp_thmss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1492 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1493 |
val timer = time (timer "set functions for the new datatypes"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1494 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1495 |
val cxs = map (SOME o certify lthy) Izs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1496 |
val setss_by_bnf' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1497 |
map (map (Term.subst_atomic_types (passiveAs ~~ passiveBs))) setss_by_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1498 |
val setss_by_range' = transpose setss_by_bnf'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1499 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1500 |
val set_natural_thmss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1501 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1502 |
fun mk_set_natural f map z set set' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1503 |
HOLogic.mk_eq (mk_image f $ (set $ z), set' $ (map $ z)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1504 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1505 |
fun mk_cphi f map z set set' = certify lthy |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1506 |
(Term.absfree (dest_Free z) (mk_set_natural f map z set set')); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1507 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1508 |
val csetss = map (map (certify lthy)) setss_by_range'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1509 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1510 |
val cphiss = map3 (fn f => fn sets => fn sets' => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1511 |
(map4 (mk_cphi f) fs_maps Izs sets sets')) fs setss_by_range setss_by_range'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1512 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1513 |
val inducts = map (fn cphis => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1514 |
Drule.instantiate' cTs (map SOME cphis @ cxs) fld_induct_thm) cphiss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1515 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1516 |
val goals = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1517 |
map3 (fn f => fn sets => fn sets' => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1518 |
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
|
1519 |
(map4 (mk_set_natural f) fs_maps Izs sets sets'))) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1520 |
fs setss_by_range setss_by_range'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1521 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1522 |
fun mk_tac induct = mk_set_nat_tac m (rtac induct) set_natural'ss map_simp_thms; |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1523 |
val thms = |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1524 |
map5 (fn goal => fn csets => fn set_simps => fn induct => fn i => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1525 |
singleton (Proof_Context.export names_lthy lthy) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1526 |
(Skip_Proof.prove lthy [] [] goal (mk_tac induct csets set_simps i)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1527 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1528 |
goals csetss set_simp_thmss inducts ls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1529 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1530 |
map split_conj_thm thms |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1531 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1532 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1533 |
val set_bd_thmss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1534 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1535 |
fun mk_set_bd z set = mk_ordLeq (mk_card_of (set $ z)) bd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1536 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1537 |
fun mk_cphi z set = certify lthy (Term.absfree (dest_Free z) (mk_set_bd z set)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1538 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1539 |
val cphiss = map (map2 mk_cphi Izs) setss_by_range; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1540 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1541 |
val inducts = map (fn cphis => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1542 |
Drule.instantiate' cTs (map SOME cphis @ cxs) fld_induct_thm) cphiss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1543 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1544 |
val goals = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1545 |
map (fn sets => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1546 |
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
|
1547 |
(map2 mk_set_bd Izs sets))) setss_by_range; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1548 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1549 |
fun mk_tac induct = mk_set_bd_tac m (rtac induct) bd_Cinfinite set_bd_cpowss; |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1550 |
val thms = |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1551 |
map4 (fn goal => fn set_simps => fn induct => fn i => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1552 |
singleton (Proof_Context.export names_lthy lthy) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1553 |
(Skip_Proof.prove lthy [] [] goal (mk_tac induct set_simps i)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1554 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1555 |
goals set_simp_thmss inducts ls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1556 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1557 |
map split_conj_thm thms |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1558 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1559 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1560 |
val map_cong_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1561 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1562 |
fun mk_prem z set f g y y' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1563 |
mk_Ball (set $ z) (Term.absfree y' (HOLogic.mk_eq (f $ y, g $ y))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1564 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1565 |
fun mk_map_cong sets z fmap gmap = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1566 |
HOLogic.mk_imp |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1567 |
(Library.foldr1 HOLogic.mk_conj (map5 (mk_prem z) sets fs fs_copy ys ys'), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1568 |
HOLogic.mk_eq (fmap $ z, gmap $ z)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1569 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1570 |
fun mk_cphi sets z fmap gmap = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1571 |
certify lthy (Term.absfree (dest_Free z) (mk_map_cong sets z fmap gmap)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1572 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1573 |
val cphis = map4 mk_cphi setss_by_bnf Izs fs_maps fs_copy_maps; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1574 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1575 |
val induct = Drule.instantiate' cTs (map SOME cphis @ cxs) fld_induct_thm; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1576 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1577 |
val goal = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1578 |
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
|
1579 |
(map4 mk_map_cong setss_by_bnf Izs fs_maps fs_copy_maps)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1580 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1581 |
val thm = singleton (Proof_Context.export names_lthy lthy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1582 |
(Skip_Proof.prove lthy [] [] goal |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1583 |
(mk_mcong_tac (rtac induct) Fset_set_thmsss map_congs map_simp_thms)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1584 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1585 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1586 |
split_conj_thm thm |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1587 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1588 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1589 |
val in_incl_min_alg_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1590 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1591 |
fun mk_prem z sets = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1592 |
HOLogic.mk_mem (z, mk_in As sets (fastype_of z)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1593 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1594 |
fun mk_incl z sets i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1595 |
HOLogic.mk_imp (mk_prem z sets, HOLogic.mk_mem (z, mk_min_alg As flds i)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1596 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1597 |
fun mk_cphi z sets i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1598 |
certify lthy (Term.absfree (dest_Free z) (mk_incl z sets i)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1599 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1600 |
val cphis = map3 mk_cphi Izs setss_by_bnf ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1601 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1602 |
val induct = Drule.instantiate' cTs (map SOME cphis @ cxs) fld_induct_thm; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1603 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1604 |
val goal = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1605 |
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
|
1606 |
(map3 mk_incl Izs setss_by_bnf ks)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1607 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1608 |
val thm = singleton (Proof_Context.export names_lthy lthy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1609 |
(Skip_Proof.prove lthy [] [] goal |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1610 |
(mk_incl_min_alg_tac (rtac induct) Fset_set_thmsss alg_set_thms alg_min_alg_thm)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1611 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1612 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1613 |
split_conj_thm thm |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1614 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1615 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1616 |
val Xsetss = map (map (Term.subst_atomic_types (passiveAs ~~ passiveXs))) setss_by_bnf; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1617 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1618 |
val map_wpull_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1619 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1620 |
val cTs = map (SOME o certifyT lthy o TFree) induct2_params; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1621 |
val cxs = map (SOME o certify lthy) (interleave Izs1 Izs2); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1622 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1623 |
fun mk_prem z1 z2 sets1 sets2 map1 map2 = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1624 |
HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1625 |
(HOLogic.mk_mem (z1, mk_in B1s sets1 (fastype_of z1)), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1626 |
HOLogic.mk_conj |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1627 |
(HOLogic.mk_mem (z2, mk_in B2s sets2 (fastype_of z2)), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1628 |
HOLogic.mk_eq (map1 $ z1, map2 $ z2))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1629 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1630 |
val prems = map6 mk_prem Izs1 Izs2 setss_by_bnf setss_by_bnf' f1s_maps f2s_maps; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1631 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1632 |
fun mk_concl z1 z2 sets map1 map2 T x x' = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1633 |
mk_Bex (mk_in AXs sets T) (Term.absfree x' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1634 |
(HOLogic.mk_conj (HOLogic.mk_eq (map1 $ x, z1), HOLogic.mk_eq (map2 $ x, z2)))); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1635 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1636 |
val concls = map8 mk_concl Izs1 Izs2 Xsetss p1s_maps p2s_maps XTs xs xs'; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1637 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1638 |
val goals = map2 (curry HOLogic.mk_imp) prems concls; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1639 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1640 |
fun mk_cphi z1 z2 goal = certify lthy (Term.absfree z1 (Term.absfree z2 goal)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1641 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1642 |
val cphis = map3 mk_cphi Izs1' Izs2' goals; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1643 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1644 |
val induct = Drule.instantiate' cTs (map SOME cphis @ cxs) fld_induct2_thm; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1645 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1646 |
val goal = Logic.list_implies (map HOLogic.mk_Trueprop |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1647 |
(map8 mk_wpull AXs B1s B2s f1s f2s (replicate m NONE) p1s p2s), |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1648 |
HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj goals)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1649 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1650 |
val thm = singleton (Proof_Context.export names_lthy lthy) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1651 |
(Skip_Proof.prove lthy [] [] goal |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1652 |
(K (mk_lfp_map_wpull_tac m (rtac induct) map_wpulls map_simp_thms |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1653 |
(transpose set_simp_thmss) Fset_set_thmsss fld_inject_thms))) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1654 |
|> Thm.close_derivation; |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1655 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1656 |
split_conj_thm thm |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1657 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1658 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1659 |
val timer = time (timer "helpers for BNF properties"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1660 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1661 |
val map_id_tacs = map (K o mk_map_id_tac map_ids) map_unique_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1662 |
val map_comp_tacs = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1663 |
map2 (K oo mk_map_comp_tac map_comp's map_simp_thms) map_unique_thms ks; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1664 |
val map_cong_tacs = map (mk_map_cong_tac m) map_cong_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1665 |
val set_nat_tacss = map (map (K o mk_set_natural_tac)) (transpose set_natural_thmss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1666 |
val bd_co_tacs = replicate n (K (mk_bd_card_order_tac bd_card_orders)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1667 |
val bd_cinf_tacs = replicate n (K (rtac (bd_Cinfinite RS conjunct1) 1)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1668 |
val set_bd_tacss = map (map (fn thm => K (rtac thm 1))) (transpose set_bd_thmss); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1669 |
val in_bd_tacs = map2 (K oo mk_in_bd_tac sum_Card_order suc_bd_Cnotzero) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1670 |
in_incl_min_alg_thms card_of_min_alg_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1671 |
val map_wpull_tacs = map (K o mk_wpull_tac) map_wpull_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1672 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1673 |
val tacss = map9 mk_tactics map_id_tacs map_comp_tacs map_cong_tacs set_nat_tacss bd_co_tacs |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1674 |
bd_cinf_tacs set_bd_tacss in_bd_tacs map_wpull_tacs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1675 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1676 |
val fld_witss = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1677 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1678 |
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
|
1679 |
(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
|
1680 |
(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
|
1681 |
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
|
1682 |
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
|
1683 |
(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
|
1684 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1685 |
fun gen_arg support i = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1686 |
if i < m then [([i], nth ys i)] |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1687 |
else maps (mk_wit support (nth flds (i - m)) (i - m)) (nth support (i - m)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1688 |
and mk_wit support fld i (I, wit) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1689 |
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
|
1690 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1691 |
(args, [([], wit)]) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1692 |
|-> fold (map_product wit_apply) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1693 |
|> map (apsnd (fn t => fld $ t)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1694 |
|> minimize_wits |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1695 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1696 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1697 |
map3 (fn fld => fn i => map close_wit o minimize_wits o maps (mk_wit witss fld i)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1698 |
flds (0 upto n - 1) witss |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1699 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1700 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1701 |
fun wit_tac _ = mk_wit_tac n (flat set_simp_thmss) (maps wit_thms_of_bnf bnfs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1702 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1703 |
val (Ibnfs, lthy) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1704 |
fold_map6 (fn tacs => fn b => fn map => fn sets => fn T => fn wits => |
49018 | 1705 |
bnf_def Dont_Inline user_policy I tacs wit_tac (SOME deads) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1706 |
((((b, fold_rev Term.absfree fs' map), sets), absdummy T bd), wits)) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1707 |
tacss bs fs_maps setss_by_bnf Ts fld_witss lthy; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1708 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1709 |
val fold_maps = Local_Defs.fold lthy (map (fn bnf => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1710 |
mk_unabs_def m (map_def_of_bnf bnf RS @{thm meta_eq_to_obj_eq})) Ibnfs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1711 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1712 |
val fold_sets = Local_Defs.fold lthy (maps (fn bnf => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1713 |
map (fn thm => thm RS @{thm meta_eq_to_obj_eq}) (set_defs_of_bnf bnf)) Ibnfs); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1714 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1715 |
val timer = time (timer "registered new datatypes as BNFs"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1716 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1717 |
val rels = map2 (fn Ds => mk_rel_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
|
1718 |
val Irels = map (mk_rel_of_bnf deads passiveAs passiveBs) Ibnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1719 |
val preds = map2 (fn Ds => mk_pred_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
|
1720 |
val Ipreds = map (mk_pred_of_bnf deads passiveAs passiveBs) Ibnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1721 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1722 |
val IrelRs = map (fn Irel => Term.list_comb (Irel, IRs)) Irels; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1723 |
val relRs = map (fn rel => Term.list_comb (rel, IRs @ IrelRs)) rels; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1724 |
val Ipredphis = map (fn Irel => Term.list_comb (Irel, Iphis)) Ipreds; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1725 |
val predphis = map (fn rel => Term.list_comb (rel, Iphis @ Ipredphis)) preds; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1726 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1727 |
val in_rels = map in_rel_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1728 |
val in_Irels = map in_rel_of_bnf Ibnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1729 |
val pred_defs = map pred_def_of_bnf bnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1730 |
val Ipred_defs = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1731 |
map (Drule.abs_def o (fn thm => thm RS @{thm eq_reflection}) o pred_def_of_bnf) Ibnfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1732 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1733 |
val set_incl_thmss = map (map (fold_sets o hd)) Fset_set_thmsss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1734 |
val set_set_incl_thmsss = map (transpose o map (map fold_sets o tl)) Fset_set_thmsss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1735 |
val folded_map_simp_thms = map fold_maps map_simp_thms; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1736 |
val folded_set_simp_thmss = map (map fold_sets) set_simp_thmss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1737 |
val folded_set_simp_thmss' = transpose folded_set_simp_thmss; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1738 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1739 |
val Irel_unfold_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1740 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1741 |
fun mk_goal xF yF fld fld' IrelR relR = fold_rev Logic.all (xF :: yF :: IRs) |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1742 |
(mk_Trueprop_eq (HOLogic.mk_mem (HOLogic.mk_prod (fld $ xF, fld' $ yF), IrelR), |
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1743 |
HOLogic.mk_mem (HOLogic.mk_prod (xF, yF), relR))); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1744 |
val goals = map6 mk_goal xFs yFs flds fld's IrelRs relRs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1745 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1746 |
map12 (fn i => fn goal => fn in_rel => fn map_comp => fn map_cong => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1747 |
fn map_simp => fn set_simps => fn fld_inject => fn fld_unf => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1748 |
fn set_naturals => fn set_incls => fn set_set_inclss => |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1749 |
Skip_Proof.prove lthy [] [] goal |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1750 |
(K (mk_rel_unfold_tac in_Irels i in_rel map_comp map_cong map_simp set_simps |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1751 |
fld_inject fld_unf set_naturals set_incls set_set_inclss)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1752 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1753 |
ks goals in_rels map_comp's map_congs folded_map_simp_thms folded_set_simp_thmss' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1754 |
fld_inject_thms fld_unf_thms set_natural'ss set_incl_thmss set_set_incl_thmsss |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1755 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1756 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1757 |
val Ipred_unfold_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1758 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1759 |
fun mk_goal xF yF fld fld' Ipredphi predphi = fold_rev Logic.all (xF :: yF :: Iphis) |
49123
263b0e330d8b
more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents:
49121
diff
changeset
|
1760 |
(mk_Trueprop_eq (Ipredphi $ (fld $ xF) $ (fld' $ yF), predphi $ xF $ yF)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1761 |
val goals = map6 mk_goal xFs yFs flds fld's Ipredphis predphis; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1762 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1763 |
map3 (fn goal => fn pred_def => fn Irel_unfold => |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1764 |
Skip_Proof.prove lthy [] [] goal (mk_pred_unfold_tac pred_def Ipred_defs Irel_unfold) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1765 |
|> Thm.close_derivation) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1766 |
goals pred_defs Irel_unfold_thms |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1767 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1768 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1769 |
val timer = time (timer "additional properties"); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1770 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1771 |
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
|
1772 |
|
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1773 |
val Ibnf_common_notes = |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1774 |
[(map_uniqueN, [fold_maps map_unique_thm])] |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1775 |
|> map (fn (thmN, thms) => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1776 |
((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
|
1777 |
|
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1778 |
val Ibnf_notes = |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1779 |
[(map_simpsN, map single folded_map_simp_thms), |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1780 |
(set_inclN, set_incl_thmss), |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1781 |
(set_set_inclN, map flat set_set_incl_thmsss), (* nicer names? *) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1782 |
(rel_unfoldN, map single Irel_unfold_thms), |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1783 |
(pred_unfoldN, map single Ipred_unfold_thms)] @ |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1784 |
map2 (fn i => fn thms => (mk_set_simpsN i, map single thms)) ls' folded_set_simp_thmss |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1785 |
|> maps (fn (thmN, thmss) => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1786 |
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
|
1787 |
((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
|
1788 |
bs thmss) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1789 |
in |
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1790 |
lthy |> Local_Theory.notes (Ibnf_common_notes @ Ibnf_notes) |> snd |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1791 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1792 |
|
49109
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1793 |
val common_notes = |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1794 |
[(fld_inductN, [fld_induct_thm]), |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1795 |
(fld_induct2N, [fld_induct2_thm])] |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1796 |
|> map (fn (thmN, thms) => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1797 |
((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
|
1798 |
|
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1799 |
val notes = |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1800 |
[(iterN, iter_thms), |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1801 |
(iter_uniqueN, iter_unique_thms), |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1802 |
(recN, rec_thms), |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1803 |
(unf_fldN, unf_fld_thms), |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1804 |
(fld_unfN, fld_unf_thms), |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1805 |
(unf_injectN, unf_inject_thms), |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1806 |
(unf_exhaustN, unf_exhaust_thms), |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1807 |
(fld_injectN, fld_inject_thms), |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1808 |
(fld_exhaustN, fld_exhaust_thms)] |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1809 |
|> map (apsnd (map single)) |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1810 |
|> maps (fn (thmN, thmss) => |
0e5b859e1c91
no more aliases for Local_Theory.note; use Thm.close_derivation in internal theorems;
traytel
parents:
49074
diff
changeset
|
1811 |
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
|
1812 |
((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
|
1813 |
bs thmss) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1814 |
in |
49126 | 1815 |
((unfs, flds, unf_fld_thms, fld_unf_thms, fld_inject_thms), |
49124 | 1816 |
lthy |> Local_Theory.notes (common_notes @ notes) |> snd) |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1817 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1818 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1819 |
val _ = |
49074 | 1820 |
Outer_Syntax.local_theory @{command_spec "data_raw"} "least fixed points for BNF equations" |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1821 |
(Parse.and_list1 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1822 |
((Parse.binding --| Parse.$$$ ":") -- (Parse.typ --| Parse.$$$ "=" -- Parse.typ)) >> |
49121 | 1823 |
(snd oo fp_bnf_cmd bnf_lfp o apsnd split_list o split_list)); |
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1824 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
1825 |
end; |