author | blanchet |
Tue, 11 Sep 2012 17:36:09 +0200 | |
changeset 49284 | 5f39b7940b49 |
parent 48975 | 7f79f94a432c |
child 49304 | 6964373dd6ac |
permissions | -rw-r--r-- |
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(* Title: HOL/Codatatype/Tools/bnf_comp_tactics.ML |
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Author: Dmitriy Traytel, TU Muenchen |
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Author: Jasmin Blanchette, TU Muenchen |
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Copyright 2012 |
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Tactics for composition of bounded natural functors. |
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*) |
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signature BNF_COMP_TACTICS = |
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sig |
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val mk_comp_bd_card_order_tac: thm list -> thm -> tactic |
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val mk_comp_bd_cinfinite_tac: thm -> thm -> tactic |
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val mk_comp_in_alt_tac: Proof.context -> thm list -> tactic |
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val mk_comp_in_bd_tac: thm -> thm list -> thm -> thm list -> thm -> tactic |
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val mk_comp_map_comp_tac: thm -> thm -> thm list -> tactic |
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val mk_comp_map_cong_tac: thm list -> thm -> thm list -> tactic |
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val mk_comp_set_alt_tac: Proof.context -> thm -> tactic |
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val mk_comp_set_bd_tac: Proof.context -> thm -> thm list -> tactic |
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val mk_comp_set_natural_tac: thm -> thm -> thm -> thm list -> tactic |
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val mk_comp_wit_tac: Proof.context -> thm list -> thm -> thm list -> tactic |
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|
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val mk_killN_bd_card_order_tac: int -> thm -> tactic |
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val mk_killN_bd_cinfinite_tac: thm -> tactic |
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val killN_in_alt_tac: tactic |
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val mk_killN_in_bd_tac: int -> bool -> thm -> thm -> thm -> thm -> thm -> tactic |
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val mk_killN_map_cong_tac: Proof.context -> int -> int -> thm -> tactic |
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val mk_killN_set_bd_tac: thm -> thm -> tactic |
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|
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val empty_natural_tac: tactic |
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val liftN_in_alt_tac: tactic |
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val mk_liftN_in_bd_tac: int -> thm -> thm -> thm -> tactic |
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val mk_liftN_set_bd_tac: thm -> tactic |
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val mk_permute_in_alt_tac: ''a list -> ''a list -> tactic |
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val mk_permute_in_bd_tac: ''a list -> ''a list -> thm -> thm -> thm -> tactic |
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val mk_map_wpull_tac: thm -> thm list -> thm -> tactic |
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val mk_simple_wit_tac: thm list -> tactic |
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end; |
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structure BNF_Comp_Tactics : BNF_COMP_TACTICS = |
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struct |
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open BNF_Util |
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open BNF_Tactics |
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val arg_cong_Union = @{thm arg_cong[of _ _ Union]}; |
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val o_eq_dest_lhs = @{thm o_eq_dest_lhs}; |
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val set_mp = @{thm set_mp}; |
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val trans_image_cong_o_apply = @{thm trans[OF image_cong[OF o_apply refl]]}; |
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val trans_o_apply = @{thm trans[OF o_apply]}; |
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(* Composition *) |
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fun mk_comp_set_alt_tac ctxt collect_set_natural = |
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Local_Defs.unfold_tac ctxt @{thms sym[OF o_assoc]} THEN |
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Local_Defs.unfold_tac ctxt [collect_set_natural RS sym] THEN |
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rtac refl 1; |
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fun mk_comp_map_comp_tac Gmap_comp Gmap_cong map_comps = |
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EVERY' ([rtac ext, rtac sym, rtac trans_o_apply, |
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rtac (Gmap_comp RS sym RS o_eq_dest_lhs RS trans), rtac Gmap_cong] @ |
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map (fn thm => rtac (thm RS sym RS fun_cong)) map_comps) 1; |
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fun mk_comp_set_natural_tac Gmap_comp Gmap_cong Gset_natural set_naturals = |
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EVERY' ([rtac ext] @ |
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replicate 3 (rtac trans_o_apply) @ |
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[rtac (arg_cong_Union RS trans), |
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rtac (@{thm arg_cong2[of _ _ _ _ collect, OF refl]} RS trans), |
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rtac (Gmap_comp RS sym RS o_eq_dest_lhs RS trans), |
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rtac Gmap_cong] @ |
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map (fn thm => rtac (thm RS fun_cong)) set_naturals @ |
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[rtac (Gset_natural RS o_eq_dest_lhs), rtac sym, rtac trans_o_apply, |
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rtac trans_image_cong_o_apply, rtac trans_image_cong_o_apply, |
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rtac (@{thm image_cong} OF [Gset_natural RS o_eq_dest_lhs RS arg_cong_Union, refl] RS trans), |
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rtac @{thm trans[OF pointfreeE[OF Union_natural[symmetric]]]}, rtac arg_cong_Union, |
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rtac @{thm trans[OF o_eq_dest_lhs[OF image_o_collect[symmetric]]]}, |
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rtac @{thm fun_cong[OF arg_cong[of _ _ collect]]}] @ |
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[REPEAT_DETERM_N (length set_naturals) o EVERY' [rtac @{thm trans[OF image_insert]}, |
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rtac @{thm arg_cong2[of _ _ _ _ insert]}, rtac ext, rtac trans_o_apply, |
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rtac @{thm trans[OF image_cong[OF o_apply refl]]}, rtac @{thm trans[OF image_image]}, |
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rtac @{thm sym[OF trans[OF o_apply]]}, rtac @{thm image_cong[OF refl o_apply]}], |
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rtac @{thm image_empty}]) 1; |
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fun mk_comp_map_cong_tac comp_set_alts map_cong map_congs = |
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let |
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val n = length comp_set_alts; |
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in |
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(if n = 0 then rtac refl 1 |
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else rtac map_cong 1 THEN |
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EVERY' (map_index (fn (i, map_cong) => |
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rtac map_cong THEN' EVERY' (map_index (fn (k, set_alt) => |
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EVERY' [select_prem_tac n (dtac @{thm meta_spec}) (k + 1), etac @{thm meta_mp}, |
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rtac (equalityD2 RS set_mp), rtac (set_alt RS fun_cong RS trans), |
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rtac trans_o_apply, rtac (@{thm collect_def} RS arg_cong_Union), |
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rtac @{thm UnionI}, rtac @{thm UN_I}, REPEAT_DETERM_N i o rtac @{thm insertI2}, |
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rtac @{thm insertI1}, rtac (o_apply RS equalityD2 RS set_mp), |
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etac @{thm imageI}, atac]) |
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comp_set_alts)) |
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map_congs) 1) |
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end; |
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added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
104 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
105 |
fun mk_comp_bd_card_order_tac Fbd_card_orders Gbd_card_order = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
106 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
107 |
val (card_orders, last_card_order) = split_last Fbd_card_orders; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
108 |
fun gen_before thm = rtac @{thm card_order_csum} THEN' rtac thm; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
109 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
110 |
(rtac @{thm card_order_cprod} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
111 |
WRAP' gen_before (K (K all_tac)) card_orders (rtac last_card_order) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
112 |
rtac Gbd_card_order) 1 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
113 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
114 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
115 |
fun mk_comp_bd_cinfinite_tac Fbd_cinfinite Gbd_cinfinite = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
116 |
(rtac @{thm cinfinite_cprod} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
117 |
((K (TRY ((rtac @{thm cinfinite_csum} THEN' rtac disjI1) 1)) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
118 |
((rtac @{thm cinfinite_csum} THEN' rtac disjI1 THEN' rtac Fbd_cinfinite) ORELSE' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
119 |
rtac Fbd_cinfinite)) ORELSE' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
120 |
rtac Fbd_cinfinite) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
121 |
rtac Gbd_cinfinite) 1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
122 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
123 |
fun mk_comp_set_bd_tac ctxt comp_set_alt Gset_Fset_bds = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
124 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
125 |
val (bds, last_bd) = split_last Gset_Fset_bds; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
126 |
fun gen_before bd = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
127 |
rtac ctrans THEN' rtac @{thm Un_csum} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
128 |
rtac ctrans THEN' rtac @{thm csum_mono} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
129 |
rtac bd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
130 |
fun gen_after _ = rtac @{thm ordIso_imp_ordLeq} THEN' rtac @{thm cprod_csum_distrib1}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
131 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
132 |
Local_Defs.unfold_tac ctxt [comp_set_alt] THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
133 |
rtac @{thm comp_set_bd_Union_o_collect} 1 THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
134 |
Local_Defs.unfold_tac ctxt @{thms Union_image_insert Union_image_empty Union_Un_distrib |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
135 |
o_apply} THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
136 |
(rtac ctrans THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
137 |
WRAP' gen_before gen_after bds (rtac last_bd) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
138 |
rtac @{thm ordIso_imp_ordLeq} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
139 |
rtac @{thm cprod_com}) 1 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
140 |
end; |
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 |
val comp_in_alt_thms = @{thms o_apply collect_def SUP_def image_insert image_empty Union_insert |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
143 |
Union_empty Un_empty_right Union_Un_distrib Un_subset_iff conj_subset_def UN_image_subset |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
144 |
conj_assoc}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
145 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
146 |
fun mk_comp_in_alt_tac ctxt comp_set_alts = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
147 |
Local_Defs.unfold_tac ctxt (comp_set_alts @ comp_in_alt_thms) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
148 |
Local_Defs.unfold_tac ctxt @{thms set_eq_subset} THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
149 |
rtac conjI 1 THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
150 |
REPEAT_DETERM ( |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
151 |
rtac @{thm subsetI} 1 THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
152 |
Local_Defs.unfold_tac ctxt @{thms mem_Collect_eq Ball_def} THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
153 |
(REPEAT_DETERM (CHANGED (etac conjE 1)) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
154 |
REPEAT_DETERM (CHANGED (( |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
155 |
(rtac conjI THEN' (atac ORELSE' rtac @{thm subset_UNIV})) ORELSE' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
156 |
atac ORELSE' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
157 |
(rtac @{thm subset_UNIV})) 1)) ORELSE rtac @{thm subset_UNIV} 1)); |
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 |
fun mk_comp_in_bd_tac comp_in_alt Fin_bds Gin_bd Fbd_Cinfs Gbd_Card_order = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
160 |
let |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
161 |
val (bds, last_bd) = split_last Fin_bds; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
162 |
val (Cinfs, _) = split_last Fbd_Cinfs; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
163 |
fun gen_before (bd, _) = rtac ctrans THEN' rtac @{thm csum_mono} THEN' rtac bd; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
164 |
fun gen_after (_, (bd_Cinf, next_bd_Cinf)) = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
165 |
TRY o (rtac @{thm csum_cexp} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
166 |
rtac bd_Cinf THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
167 |
(TRY o (rtac @{thm Cinfinite_csum} THEN' rtac disjI1) THEN' rtac next_bd_Cinf ORELSE' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
168 |
rtac next_bd_Cinf) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
169 |
((rtac @{thm Card_order_csum} THEN' rtac @{thm ordLeq_csum2}) ORELSE' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
170 |
(rtac @{thm Card_order_ctwo} THEN' rtac @{thm ordLeq_refl})) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
171 |
rtac @{thm Card_order_ctwo}); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
172 |
in |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
173 |
(rtac @{thm ordIso_ordLeq_trans} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
174 |
rtac @{thm card_of_ordIso_subst} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
175 |
rtac comp_in_alt THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
176 |
rtac ctrans THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
177 |
rtac Gin_bd THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
178 |
rtac @{thm ordLeq_ordIso_trans} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
179 |
rtac @{thm cexp_mono1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
180 |
rtac @{thm ordLeq_ordIso_trans} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
181 |
rtac @{thm csum_mono1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
182 |
WRAP' gen_before gen_after (bds ~~ (Cinfs ~~ tl Fbd_Cinfs)) (rtac last_bd) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
183 |
rtac @{thm csum_absorb1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
184 |
rtac @{thm Cinfinite_cexp} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
185 |
(rtac @{thm ordLeq_csum2} ORELSE' rtac @{thm ordLeq_refl}) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
186 |
rtac @{thm Card_order_ctwo} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
187 |
(TRY o (rtac @{thm Cinfinite_csum} THEN' rtac disjI1) THEN' rtac (hd Fbd_Cinfs) ORELSE' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
188 |
rtac (hd Fbd_Cinfs)) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
189 |
rtac @{thm ctwo_ordLeq_Cinfinite} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
190 |
rtac @{thm Cinfinite_cexp} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
191 |
(rtac @{thm ordLeq_csum2} ORELSE' rtac @{thm ordLeq_refl}) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
192 |
rtac @{thm Card_order_ctwo} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
193 |
(TRY o (rtac @{thm Cinfinite_csum} THEN' rtac disjI1) THEN' rtac (hd Fbd_Cinfs) ORELSE' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
194 |
rtac (hd Fbd_Cinfs)) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
195 |
rtac disjI1 THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
196 |
TRY o rtac @{thm csum_Cnotzero2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
197 |
rtac @{thm ctwo_Cnotzero} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
198 |
rtac Gbd_Card_order THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
199 |
rtac @{thm cexp_cprod} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
200 |
TRY o rtac @{thm csum_Cnotzero2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
201 |
rtac @{thm ctwo_Cnotzero}) 1 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
202 |
end; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
203 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
204 |
val comp_wit_thms = @{thms Union_empty_conv o_apply collect_def SUP_def |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
205 |
Union_image_insert Union_image_empty}; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
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|
206 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
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|
207 |
fun mk_comp_wit_tac ctxt Gwit_thms collect_set_natural Fwit_thms = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
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|
208 |
ALLGOALS (dtac @{thm in_Union_o_assoc}) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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diff
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|
209 |
Local_Defs.unfold_tac ctxt (collect_set_natural :: comp_wit_thms) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
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|
210 |
REPEAT_DETERM ( |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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|
211 |
atac 1 ORELSE |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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diff
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|
212 |
REPEAT_DETERM (eresolve_tac @{thms UnionE UnE imageE} 1) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
213 |
(TRY o dresolve_tac Gwit_thms THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
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|
214 |
(etac FalseE ORELSE' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
215 |
hyp_subst_tac THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
216 |
dresolve_tac Fwit_thms THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
217 |
(etac FalseE ORELSE' atac))) 1); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
218 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
219 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
220 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
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|
221 |
(* Kill operation *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
222 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
223 |
fun mk_killN_map_cong_tac ctxt n m map_cong = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
224 |
(rtac map_cong THEN' EVERY' (replicate n (rtac refl)) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
225 |
EVERY' (replicate m (Goal.assume_rule_tac ctxt))) 1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
226 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
227 |
fun mk_killN_bd_card_order_tac n bd_card_order = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
228 |
(rtac @{thm card_order_cprod} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
229 |
K (REPEAT_DETERM_N (n - 1) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
230 |
((rtac @{thm card_order_csum} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
231 |
rtac @{thm card_of_card_order_on}) 1)) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
232 |
rtac @{thm card_of_card_order_on} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
233 |
rtac bd_card_order) 1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
234 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
235 |
fun mk_killN_bd_cinfinite_tac bd_Cinfinite = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
236 |
(rtac @{thm cinfinite_cprod2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
237 |
TRY o rtac @{thm csum_Cnotzero1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
238 |
rtac @{thm Cnotzero_UNIV} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
239 |
rtac bd_Cinfinite) 1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
240 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
241 |
fun mk_killN_set_bd_tac bd_Card_order set_bd = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
242 |
(rtac ctrans THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
243 |
rtac set_bd THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
244 |
rtac @{thm ordLeq_cprod2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
245 |
TRY o rtac @{thm csum_Cnotzero1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
246 |
rtac @{thm Cnotzero_UNIV} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
247 |
rtac bd_Card_order) 1 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
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parents:
diff
changeset
|
248 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
249 |
val killN_in_alt_tac = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
250 |
((rtac @{thm Collect_cong} THEN' rtac @{thm iffI}) 1 THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
251 |
REPEAT_DETERM (CHANGED (etac conjE 1)) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
252 |
REPEAT_DETERM (CHANGED ((etac conjI ORELSE' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
253 |
rtac conjI THEN' rtac @{thm subset_UNIV}) 1)) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
254 |
(rtac @{thm subset_UNIV} ORELSE' atac) 1 THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
255 |
REPEAT_DETERM (CHANGED (etac conjE 1)) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
256 |
REPEAT_DETERM (CHANGED ((etac conjI ORELSE' atac) 1))) ORELSE |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
257 |
((rtac @{thm UNIV_eq_I} THEN' rtac CollectI) 1 THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
258 |
REPEAT_DETERM (TRY (rtac conjI 1) THEN rtac @{thm subset_UNIV} 1)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
259 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
260 |
fun mk_killN_in_bd_tac n nontrivial_killN_in in_alt in_bd bd_Card_order bd_Cinfinite bd_Cnotzero = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
261 |
(rtac @{thm ordIso_ordLeq_trans} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
262 |
rtac @{thm card_of_ordIso_subst} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
263 |
rtac in_alt THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
264 |
rtac ctrans THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
265 |
rtac in_bd THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
266 |
rtac @{thm ordIso_ordLeq_trans} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
267 |
rtac @{thm cexp_cong1}) 1 THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
268 |
(if nontrivial_killN_in then |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
269 |
rtac @{thm ordIso_transitive} 1 THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
270 |
REPEAT_DETERM_N (n - 1) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
271 |
((rtac @{thm csum_cong1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
272 |
rtac @{thm ordIso_symmetric} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
273 |
rtac @{thm csum_assoc} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
274 |
rtac @{thm ordIso_transitive}) 1) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
275 |
(rtac @{thm ordIso_refl} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
276 |
rtac @{thm Card_order_csum} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
277 |
rtac @{thm ordIso_transitive} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
278 |
rtac @{thm csum_assoc} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
279 |
rtac @{thm ordIso_transitive} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
280 |
rtac @{thm csum_cong1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
281 |
K (mk_flatten_assoc_tac |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
282 |
(rtac @{thm ordIso_refl} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
283 |
FIRST' [rtac @{thm card_of_Card_order}, rtac @{thm Card_order_csum}]) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
284 |
@{thm ordIso_transitive} @{thm csum_assoc} @{thm csum_cong}) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
285 |
rtac @{thm ordIso_refl} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
286 |
(rtac @{thm card_of_Card_order} ORELSE' rtac @{thm Card_order_csum})) 1 |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
287 |
else all_tac) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
288 |
(rtac @{thm csum_com} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
289 |
rtac bd_Card_order THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
290 |
rtac disjI1 THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
291 |
rtac @{thm csum_Cnotzero2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
292 |
rtac @{thm ctwo_Cnotzero} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
293 |
rtac disjI1 THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
294 |
rtac @{thm csum_Cnotzero2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
295 |
TRY o rtac @{thm csum_Cnotzero1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
296 |
rtac @{thm Cnotzero_UNIV} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
297 |
rtac @{thm ordLeq_ordIso_trans} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
298 |
rtac @{thm cexp_mono1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
299 |
rtac ctrans THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
300 |
rtac @{thm csum_mono2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
301 |
rtac @{thm ordLeq_cprod1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
302 |
(rtac @{thm card_of_Card_order} ORELSE' rtac @{thm Card_order_csum}) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
303 |
rtac bd_Cnotzero THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
304 |
rtac @{thm csum_cexp'} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
305 |
rtac @{thm Cinfinite_cprod2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
306 |
TRY o rtac @{thm csum_Cnotzero1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
307 |
rtac @{thm Cnotzero_UNIV} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
308 |
rtac bd_Cinfinite THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
309 |
((rtac @{thm Card_order_ctwo} THEN' rtac @{thm ordLeq_refl}) ORELSE' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
310 |
(rtac @{thm Card_order_csum} THEN' rtac @{thm ordLeq_csum2})) THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
311 |
rtac @{thm Card_order_ctwo} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
312 |
rtac disjI1 THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
313 |
rtac @{thm csum_Cnotzero2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
314 |
TRY o rtac @{thm csum_Cnotzero1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
315 |
rtac @{thm Cnotzero_UNIV} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
316 |
rtac bd_Card_order THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
317 |
rtac @{thm cexp_cprod_ordLeq} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
318 |
TRY o rtac @{thm csum_Cnotzero2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
319 |
rtac @{thm ctwo_Cnotzero} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
320 |
rtac @{thm Cinfinite_cprod2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
321 |
TRY o rtac @{thm csum_Cnotzero1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
322 |
rtac @{thm Cnotzero_UNIV} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
323 |
rtac bd_Cinfinite THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
324 |
rtac bd_Cnotzero THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
325 |
rtac @{thm ordLeq_cprod2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
326 |
TRY o rtac @{thm csum_Cnotzero1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
327 |
rtac @{thm Cnotzero_UNIV} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
328 |
rtac bd_Card_order) 1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
329 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
330 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
331 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
332 |
(* Lift operation *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
333 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
334 |
val empty_natural_tac = rtac @{thm empty_natural} 1; |
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 |
fun mk_liftN_set_bd_tac bd_Card_order = (rtac @{thm Card_order_empty} THEN' rtac bd_Card_order) 1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
337 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
338 |
val liftN_in_alt_tac = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
339 |
((rtac @{thm Collect_cong} THEN' rtac @{thm iffI}) 1 THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
340 |
REPEAT_DETERM (CHANGED (etac conjE 1)) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
341 |
REPEAT_DETERM (CHANGED ((etac conjI ORELSE' atac) 1)) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
342 |
REPEAT_DETERM (CHANGED (etac conjE 1)) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
343 |
REPEAT_DETERM (CHANGED ((etac conjI ORELSE' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
344 |
rtac conjI THEN' rtac @{thm empty_subsetI}) 1)) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
345 |
(rtac @{thm empty_subsetI} ORELSE' atac) 1) ORELSE |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
346 |
((rtac sym THEN' rtac @{thm UNIV_eq_I} THEN' rtac CollectI) 1 THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
347 |
REPEAT_DETERM (TRY (rtac conjI 1) THEN rtac @{thm empty_subsetI} 1)); |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
348 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
349 |
fun mk_liftN_in_bd_tac n in_alt in_bd bd_Card_order = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
350 |
(rtac @{thm ordIso_ordLeq_trans} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
351 |
rtac @{thm card_of_ordIso_subst} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
352 |
rtac in_alt THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
353 |
rtac ctrans THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
354 |
rtac in_bd THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
355 |
rtac @{thm cexp_mono1}) 1 THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
356 |
((rtac @{thm csum_mono1} 1 THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
357 |
REPEAT_DETERM_N (n - 1) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
358 |
((rtac ctrans THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
359 |
rtac @{thm ordLeq_csum2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
360 |
(rtac @{thm Card_order_csum} ORELSE' rtac @{thm card_of_Card_order})) 1) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
361 |
(rtac @{thm ordLeq_csum2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
362 |
(rtac @{thm Card_order_csum} ORELSE' rtac @{thm card_of_Card_order})) 1) ORELSE |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
363 |
(rtac @{thm ordLeq_csum2} THEN' rtac @{thm Card_order_ctwo}) 1) THEN |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
364 |
(rtac disjI1 THEN' TRY o rtac @{thm csum_Cnotzero2} THEN' rtac @{thm ctwo_Cnotzero} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
365 |
THEN' rtac bd_Card_order) 1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
366 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
367 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
368 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
369 |
(* Permute operation *) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
370 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
371 |
fun mk_permute_in_alt_tac src dest = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
372 |
(rtac @{thm Collect_cong} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
373 |
mk_rotate_eq_tac (rtac refl) trans @{thm conj_assoc} @{thm conj_commute} @{thm conj_cong} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
374 |
dest src) 1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
375 |
|
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
376 |
fun mk_permute_in_bd_tac src dest in_alt in_bd bd_Card_order = |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
377 |
(rtac @{thm ordIso_ordLeq_trans} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
378 |
rtac @{thm card_of_ordIso_subst} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
379 |
rtac in_alt THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
380 |
rtac @{thm ordLeq_ordIso_trans} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
381 |
rtac in_bd THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
382 |
rtac @{thm cexp_cong1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
383 |
rtac @{thm csum_cong1} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
384 |
mk_rotate_eq_tac |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
385 |
(rtac @{thm ordIso_refl} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
386 |
FIRST' [rtac @{thm card_of_Card_order}, rtac @{thm Card_order_csum}]) |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
387 |
@{thm ordIso_transitive} @{thm csum_assoc} @{thm csum_com} @{thm csum_cong} |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
388 |
src dest THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
389 |
rtac bd_Card_order THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
390 |
rtac disjI1 THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
391 |
TRY o rtac @{thm csum_Cnotzero2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
392 |
rtac @{thm ctwo_Cnotzero} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
393 |
rtac disjI1 THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
394 |
TRY o rtac @{thm csum_Cnotzero2} THEN' |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
395 |
rtac @{thm ctwo_Cnotzero}) 1; |
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
396 |
|
49284 | 397 |
fun mk_map_wpull_tac comp_in_alt inner_map_wpulls outer_map_wpull = |
398 |
(rtac (@{thm wpull_cong} OF (replicate 3 comp_in_alt)) THEN' rtac outer_map_wpull) 1 THEN |
|
399 |
WRAP (fn thm => rtac thm 1 THEN REPEAT_DETERM (atac 1)) (K all_tac) inner_map_wpulls all_tac THEN |
|
400 |
TRY (REPEAT_DETERM (atac 1 ORELSE rtac @{thm wpull_id} 1)); |
|
401 |
||
402 |
fun mk_simple_wit_tac wit_thms = ALLGOALS (atac ORELSE' eresolve_tac (@{thm emptyE} :: wit_thms)); |
|
403 |
||
48975
7f79f94a432c
added new (co)datatype package + theories of ordinals and cardinals (with Dmitriy and Andrei)
blanchet
parents:
diff
changeset
|
404 |
end; |