isabelle: src/HOLCF/Cont.ML@0024472afce7 (annotated)

2640 ee4dfce170a0 Changes of HOLCF from Oscar Slotosch: slotosch parents: 2354 diff changeset	1	(* Title: HOLCF/Cont.ML
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	2	ID: $Id$
1461 6bcb44e4d6e5 expanded tabs clasohm parents: 1267 diff changeset	3	Author: Franz Regensburger
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	4
8935 548901d05a0e added type constraint ::nat because 0 is now overloaded paulson parents: 7499 diff changeset	5	Results about continuity and monotonicity
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	6	*)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	7
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	8	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	9	(* access to definition *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	10	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	11
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	12	Goalw [contlub]
4721 c8a8482a8124 renamed is_chain to chain, is_tord to tord, replaced chain_finite by chfin oheimb parents: 4098 diff changeset	13	"! Y. chain(Y) --> f(lub(range(Y))) = lub(range(%i. f(Y(i))))==>\
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	14	\ contlub(f)";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	15	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	16	qed "contlubI";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	17
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	18	Goalw [contlub]
1461 6bcb44e4d6e5 expanded tabs clasohm parents: 1267 diff changeset	19	" contlub(f)==>\
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	20	\ ! Y. chain(Y) --> f(lub(range(Y))) = lub(range(%i. f(Y(i))))";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	21	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	22	qed "contlubE";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	23
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	24
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	25	Goalw [cont]
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	26	"! Y. chain(Y) --> range(% i. f(Y(i))) <<\| f(lub(range(Y))) ==> cont(f)";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	27	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	28	qed "contI";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	29
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	30	Goalw [cont]
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	31	"cont(f) ==> ! Y. chain(Y) --> range(% i. f(Y(i))) <<\| f(lub(range(Y)))";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	32	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	33	qed "contE";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	34
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	35
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	36	Goalw [monofun]
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	37	"! x y. x << y --> f(x) << f(y) ==> monofun(f)";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	38	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	39	qed "monofunI";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	40
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	41	Goalw [monofun]
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	42	"monofun(f) ==> ! x y. x << y --> f(x) << f(y)";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	43	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	44	qed "monofunE";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	45
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	46	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	47	(* the main purpose of cont.thy is to show: *)
1168 74be52691d62 The curried version of HOLCF is now just called HOLCF. The old regensbu parents: 892 diff changeset	48	(* monofun(f) & contlub(f) <==> cont(f) *)
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	49	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	50
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	51	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	52	(* monotone functions map chains to chains *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	53	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	54
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	55	Goal
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	56	"[\| monofun(f); chain(Y) \|] ==> chain(%i. f(Y(i)))";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	57	by (rtac chainI 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	58	by (etac (monofunE RS spec RS spec RS mp) 1);
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	59	by (etac (chainE) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	60	qed "ch2ch_monofun";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	61
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	62	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	63	(* monotone functions map upper bound to upper bounds *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	64	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	65
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	66	Goal
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	67	"[\| monofun(f); range(Y) <\| u\|] ==> range(%i. f(Y(i))) <\| f(u)";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	68	by (rtac ub_rangeI 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	69	by (etac (monofunE RS spec RS spec RS mp) 1);
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	70	by (etac (ub_rangeD) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	71	qed "ub2ub_monofun";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	72
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	73	(* ------------------------------------------------------------------------ *)
1168 74be52691d62 The curried version of HOLCF is now just called HOLCF. The old regensbu parents: 892 diff changeset	74	(* left to right: monofun(f) & contlub(f) ==> cont(f) *)
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	75	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	76
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	77	Goalw [cont]
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	78	"[\|monofun(f);contlub(f)\|] ==> cont(f)";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	79	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	80	by (rtac thelubE 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	81	by (etac ch2ch_monofun 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	82	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	83	by (etac (contlubE RS spec RS mp RS sym) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	84	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	85	qed "monocontlub2cont";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	86
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	87	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	88	(* first a lemma about binary chains *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	89	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	90
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	91	Goal "[\| cont(f); x << y \|] \
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	92	\ ==> range(%i::nat. f(if i = 0 then x else y)) <<\| f(y)";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	93	by (rtac subst 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	94	by (etac (contE RS spec RS mp) 2);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	95	by (etac bin_chain 2);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	96	by (res_inst_tac [("y","y")] arg_cong 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	97	by (etac (lub_bin_chain RS thelubI) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	98	qed "binchain_cont";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	99
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	100	(* ------------------------------------------------------------------------ *)
1168 74be52691d62 The curried version of HOLCF is now just called HOLCF. The old regensbu parents: 892 diff changeset	101	(* right to left: cont(f) ==> monofun(f) & contlub(f) *)
74be52691d62 The curried version of HOLCF is now just called HOLCF. The old regensbu parents: 892 diff changeset	102	(* part1: cont(f) ==> monofun(f *)
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	103	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	104
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	105	Goalw [monofun] "cont(f) ==> monofun(f)";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	106	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	107	by (dtac (binchain_cont RS is_ub_lub) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	108	by (auto_tac (claset(), simpset() addsplits [split_if_asm]));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	109	qed "cont2mono";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	110
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	111	(* ------------------------------------------------------------------------ *)
1168 74be52691d62 The curried version of HOLCF is now just called HOLCF. The old regensbu parents: 892 diff changeset	112	(* right to left: cont(f) ==> monofun(f) & contlub(f) *)
74be52691d62 The curried version of HOLCF is now just called HOLCF. The old regensbu parents: 892 diff changeset	113	(* part2: cont(f) ==> contlub(f) *)
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	114	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	115
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	116	Goalw [contlub] "cont(f) ==> contlub(f)";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	117	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	118	by (rtac (thelubI RS sym) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	119	by (etac (contE RS spec RS mp) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	120	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	121	qed "cont2contlub";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	122
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	123	(* ------------------------------------------------------------------------ *)
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	124	(* monotone functions map finite chains to finite chains *)
2354 b4a1e3306aa0 added theorems sandnerr parents: 2033 diff changeset	125	(* ------------------------------------------------------------------------ *)
b4a1e3306aa0 added theorems sandnerr parents: 2033 diff changeset	126
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	127	Goalw [finite_chain_def]
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	128	"[\| monofun f; finite_chain Y \|] ==> finite_chain (%n. f (Y n))";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	129	by (force_tac (claset() addSEs [ch2ch_monofun],
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	130	simpset() addsimps [max_in_chain_def]) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	131	qed "monofun_finch2finch";
2354 b4a1e3306aa0 added theorems sandnerr parents: 2033 diff changeset	132
b4a1e3306aa0 added theorems sandnerr parents: 2033 diff changeset	133	(* ------------------------------------------------------------------------ *)
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	134	(* The same holds for continuous functions *)
2354 b4a1e3306aa0 added theorems sandnerr parents: 2033 diff changeset	135	(* ------------------------------------------------------------------------ *)
b4a1e3306aa0 added theorems sandnerr parents: 2033 diff changeset	136
b4a1e3306aa0 added theorems sandnerr parents: 2033 diff changeset	137	bind_thm ("cont_finch2finch", cont2mono RS monofun_finch2finch);
b4a1e3306aa0 added theorems sandnerr parents: 2033 diff changeset	138	(* [\| cont ?f; finite_chain ?Y \|] ==> finite_chain (%n. ?f (?Y n)) *)
b4a1e3306aa0 added theorems sandnerr parents: 2033 diff changeset	139
b4a1e3306aa0 added theorems sandnerr parents: 2033 diff changeset	140
b4a1e3306aa0 added theorems sandnerr parents: 2033 diff changeset	141	(* ------------------------------------------------------------------------ *)
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	142	(* The following results are about a curried function that is monotone *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	143	(* in both arguments *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	144	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	145
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	146	Goal
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	147	"[\|monofun(MF2); chain(F)\|] ==> chain(%i. MF2 (F i) x)";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	148	by (etac (ch2ch_monofun RS ch2ch_fun) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	149	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	150	qed "ch2ch_MF2L";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	151
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	152
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	153	Goal
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	154	"[\|monofun(MF2(f)); chain(Y)\|] ==> chain(%i. MF2 f (Y i))";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	155	by (etac ch2ch_monofun 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	156	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	157	qed "ch2ch_MF2R";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	158
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	159	Goal
4721 c8a8482a8124 renamed is_chain to chain, is_tord to tord, replaced chain_finite by chfin oheimb parents: 4098 diff changeset	160	"[\|monofun(MF2); !f. monofun(MF2(f)); chain(F); chain(Y)\|] ==> \
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	161	\ chain(%i. MF2(F(i))(Y(i)))";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	162	by (rtac chainI 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	163	by (rtac trans_less 1);
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	164	by (etac (ch2ch_MF2L RS chainE) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	165	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	166	by ((rtac (monofunE RS spec RS spec RS mp) 1) THEN (etac spec 1));
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	167	by (etac (chainE) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	168	qed "ch2ch_MF2LR";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	169
752 b89462f9d5f1 ---------------------------------------------------------------------- regensbu parents: 625 diff changeset	170
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	171	Goal
2838 2e908f29bc3d changed continuous functions from pcpo to cpo (including instances) slotosch parents: 2640 diff changeset	172	"[\|monofun(MF2::('a::po=>'b::po=>'c::cpo));\
3842 b55686a7b22c fixed dots; wenzelm parents: 3326 diff changeset	173	\ !f. monofun(MF2(f)::('b::po=>'c::cpo));\
4721 c8a8482a8124 renamed is_chain to chain, is_tord to tord, replaced chain_finite by chfin oheimb parents: 4098 diff changeset	174	\ chain(F);chain(Y)\|] ==> \
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	175	\ chain(%j. lub(range(%i. MF2 (F j) (Y i))))";
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	176	by (rtac (lub_mono RS chainI) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	177	by ((rtac ch2ch_MF2R 1) THEN (etac spec 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	178	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	179	by ((rtac ch2ch_MF2R 1) THEN (etac spec 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	180	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	181	by (strip_tac 1);
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	182	by (rtac (chainE) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	183	by (etac ch2ch_MF2L 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	184	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	185	qed "ch2ch_lubMF2R";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	186
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	187
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	188	Goal
2838 2e908f29bc3d changed continuous functions from pcpo to cpo (including instances) slotosch parents: 2640 diff changeset	189	"[\|monofun(MF2::('a::po=>'b::po=>'c::cpo));\
3842 b55686a7b22c fixed dots; wenzelm parents: 3326 diff changeset	190	\ !f. monofun(MF2(f)::('b::po=>'c::cpo));\
4721 c8a8482a8124 renamed is_chain to chain, is_tord to tord, replaced chain_finite by chfin oheimb parents: 4098 diff changeset	191	\ chain(F);chain(Y)\|] ==> \
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	192	\ chain(%i. lub(range(%j. MF2 (F j) (Y i))))";
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	193	by (rtac (lub_mono RS chainI) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	194	by (etac ch2ch_MF2L 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	195	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	196	by (etac ch2ch_MF2L 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	197	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	198	by (strip_tac 1);
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	199	by (rtac (chainE) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	200	by ((rtac ch2ch_MF2R 1) THEN (etac spec 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	201	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	202	qed "ch2ch_lubMF2L";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	203
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	204
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	205	Goal
2838 2e908f29bc3d changed continuous functions from pcpo to cpo (including instances) slotosch parents: 2640 diff changeset	206	"[\|monofun(MF2::('a::po=>'b::po=>'c::cpo));\
3842 b55686a7b22c fixed dots; wenzelm parents: 3326 diff changeset	207	\ !f. monofun(MF2(f)::('b::po=>'c::cpo));\
4721 c8a8482a8124 renamed is_chain to chain, is_tord to tord, replaced chain_finite by chfin oheimb parents: 4098 diff changeset	208	\ chain(F)\|] ==> \
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	209	\ monofun(% x. lub(range(% j. MF2 (F j) (x))))";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	210	by (rtac monofunI 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	211	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	212	by (rtac lub_mono 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	213	by (etac ch2ch_MF2L 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	214	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	215	by (etac ch2ch_MF2L 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	216	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	217	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	218	by ((rtac (monofunE RS spec RS spec RS mp) 1) THEN (etac spec 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	219	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	220	qed "lub_MF2_mono";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	221
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	222	Goal
2838 2e908f29bc3d changed continuous functions from pcpo to cpo (including instances) slotosch parents: 2640 diff changeset	223	"[\|monofun(MF2::('a::po=>'b::po=>'c::cpo));\
3842 b55686a7b22c fixed dots; wenzelm parents: 3326 diff changeset	224	\ !f. monofun(MF2(f)::('b::po=>'c::cpo));\
4721 c8a8482a8124 renamed is_chain to chain, is_tord to tord, replaced chain_finite by chfin oheimb parents: 4098 diff changeset	225	\ chain(F); chain(Y)\|] ==> \
1461 6bcb44e4d6e5 expanded tabs clasohm parents: 1267 diff changeset	226	\ lub(range(%j. lub(range(%i. MF2(F j) (Y i))))) =\
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	227	\ lub(range(%i. lub(range(%j. MF2(F j) (Y i)))))";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	228	by (rtac antisym_less 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	229	by (rtac (ub_rangeI RSN (2,is_lub_thelub)) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	230	by (etac ch2ch_lubMF2R 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	231	by (REPEAT (atac 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	232	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	233	by (rtac lub_mono 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	234	by ((rtac ch2ch_MF2R 1) THEN (etac spec 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	235	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	236	by (etac ch2ch_lubMF2L 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	237	by (REPEAT (atac 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	238	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	239	by (rtac is_ub_thelub 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	240	by (etac ch2ch_MF2L 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	241	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	242	by (rtac (ub_rangeI RSN (2,is_lub_thelub)) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	243	by (etac ch2ch_lubMF2L 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	244	by (REPEAT (atac 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	245	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	246	by (rtac lub_mono 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	247	by (etac ch2ch_MF2L 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	248	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	249	by (etac ch2ch_lubMF2R 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	250	by (REPEAT (atac 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	251	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	252	by (rtac is_ub_thelub 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	253	by ((rtac ch2ch_MF2R 1) THEN (etac spec 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	254	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	255	qed "ex_lubMF2";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	256
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	257
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	258	Goal
2838 2e908f29bc3d changed continuous functions from pcpo to cpo (including instances) slotosch parents: 2640 diff changeset	259	"[\|monofun(MF2::('a::po=>'b::po=>'c::cpo));\
3842 b55686a7b22c fixed dots; wenzelm parents: 3326 diff changeset	260	\ !f. monofun(MF2(f)::('b::po=>'c::cpo));\
4721 c8a8482a8124 renamed is_chain to chain, is_tord to tord, replaced chain_finite by chfin oheimb parents: 4098 diff changeset	261	\ chain(FY);chain(TY)\|] ==>\
752 b89462f9d5f1 ---------------------------------------------------------------------- regensbu parents: 625 diff changeset	262	\ lub(range(%i. lub(range(%j. MF2(FY(j))(TY(i)))))) =\
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	263	\ lub(range(%i. MF2(FY(i))(TY(i))))";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	264	by (rtac antisym_less 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	265	by (rtac (ub_rangeI RSN (2,is_lub_thelub)) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	266	by (etac ch2ch_lubMF2L 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	267	by (REPEAT (atac 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	268	by (strip_tac 1 );
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	269	by (rtac lub_mono3 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	270	by (etac ch2ch_MF2L 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	271	by (REPEAT (atac 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	272	by (etac ch2ch_MF2LR 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	273	by (REPEAT (atac 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	274	by (rtac allI 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	275	by (res_inst_tac [("m","i"),("n","ia")] nat_less_cases 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	276	by (res_inst_tac [("x","ia")] exI 1);
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	277	by (rtac (chain_mono) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	278	by (etac allE 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	279	by (etac ch2ch_MF2R 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	280	by (REPEAT (atac 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	281	by (hyp_subst_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	282	by (res_inst_tac [("x","ia")] exI 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	283	by (rtac refl_less 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	284	by (res_inst_tac [("x","i")] exI 1);
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	285	by (rtac (chain_mono) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	286	by (etac ch2ch_MF2L 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	287	by (REPEAT (atac 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	288	by (rtac lub_mono 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	289	by (etac ch2ch_MF2LR 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	290	by (REPEAT(atac 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	291	by (etac ch2ch_lubMF2L 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	292	by (REPEAT (atac 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	293	by (strip_tac 1 );
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	294	by (rtac is_ub_thelub 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	295	by (etac ch2ch_MF2L 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	296	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	297	qed "diag_lubMF2_1";
625 119391dd1d59 New version nipkow parents: 243 diff changeset	298
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	299	Goal
2838 2e908f29bc3d changed continuous functions from pcpo to cpo (including instances) slotosch parents: 2640 diff changeset	300	"[\|monofun(MF2::('a::po=>'b::po=>'c::cpo));\
3842 b55686a7b22c fixed dots; wenzelm parents: 3326 diff changeset	301	\ !f. monofun(MF2(f)::('b::po=>'c::cpo));\
4721 c8a8482a8124 renamed is_chain to chain, is_tord to tord, replaced chain_finite by chfin oheimb parents: 4098 diff changeset	302	\ chain(FY);chain(TY)\|] ==>\
752 b89462f9d5f1 ---------------------------------------------------------------------- regensbu parents: 625 diff changeset	303	\ lub(range(%j. lub(range(%i. MF2(FY(j))(TY(i)))))) =\
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	304	\ lub(range(%i. MF2(FY(i))(TY(i))))";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	305	by (rtac trans 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	306	by (rtac ex_lubMF2 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	307	by (REPEAT (atac 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	308	by (etac diag_lubMF2_1 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	309	by (REPEAT (atac 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	310	qed "diag_lubMF2_2";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	311
752 b89462f9d5f1 ---------------------------------------------------------------------- regensbu parents: 625 diff changeset	312
b89462f9d5f1 ---------------------------------------------------------------------- regensbu parents: 625 diff changeset	313	(* ------------------------------------------------------------------------ *)
b89462f9d5f1 ---------------------------------------------------------------------- regensbu parents: 625 diff changeset	314	(* The following results are about a curried function that is continuous *)
b89462f9d5f1 ---------------------------------------------------------------------- regensbu parents: 625 diff changeset	315	(* in both arguments *)
b89462f9d5f1 ---------------------------------------------------------------------- regensbu parents: 625 diff changeset	316	(* ------------------------------------------------------------------------ *)
b89462f9d5f1 ---------------------------------------------------------------------- regensbu parents: 625 diff changeset	317
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	318	val [prem1,prem2,prem3,prem4] = goal thy
e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	319	"[\| cont(CF2); !f. cont(CF2(f)); chain(FY); chain(TY)\|] ==>\
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	320	\ CF2(lub(range(FY)))(lub(range(TY))) = lub(range(%i. CF2(FY(i))(TY(i))))";
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	321	by (cut_facts_tac [prem1,prem2,prem3, prem4] 1);
e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	322	by (stac (prem1 RS cont2contlub RS contlubE RS spec RS mp) 1);
e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	323	by (assume_tac 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	324	by (stac thelub_fun 1);
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	325	by (rtac (prem1 RS (cont2mono RS ch2ch_monofun)) 1);
e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	326	by (assume_tac 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	327	by (rtac trans 1);
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	328	by (rtac ((prem2 RS spec RS cont2contlub) RS contlubE RS spec RS mp RS ext RS arg_cong RS arg_cong) 1);
e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	329	by (rtac prem4 1);
e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	330	by (blast_tac (claset() addIs [diag_lubMF2_2, cont2mono]) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	331	qed "contlub_CF2";
752 b89462f9d5f1 ---------------------------------------------------------------------- regensbu parents: 625 diff changeset	332
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	333	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	334	(* The following results are about application for functions in 'a=>'b *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	335	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	336
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	337	Goal "f1 << f2 ==> f1(x) << f2(x)";
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	338	by (etac (less_fun RS iffD1 RS spec) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	339	qed "monofun_fun_fun";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	340
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	341	Goal "[\|monofun(f); x1 << x2\|] ==> f(x1) << f(x2)";
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	342	by (etac (monofunE RS spec RS spec RS mp) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	343	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	344	qed "monofun_fun_arg";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	345
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	346	Goal "[\|monofun(f1); monofun(f2); f1 << f2; x1 << x2\|] ==> f1(x1) << f2(x2)";
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	347	by (rtac trans_less 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	348	by (etac monofun_fun_arg 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	349	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	350	by (etac monofun_fun_fun 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	351	qed "monofun_fun";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	352
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	353
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	354	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	355	(* The following results are about the propagation of monotonicity and *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	356	(* continuity *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	357	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	358
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	359	Goal "[\|monofun(c1)\|] ==> monofun(%x. c1 x y)";
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	360	by (rtac monofunI 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	361	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	362	by (etac (monofun_fun_arg RS monofun_fun_fun) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	363	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	364	qed "mono2mono_MF1L";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	365
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	366	Goal "[\|cont(c1)\|] ==> cont(%x. c1 x y)";
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	367	by (rtac monocontlub2cont 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	368	by (etac (cont2mono RS mono2mono_MF1L) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	369	by (rtac contlubI 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	370	by (strip_tac 1);
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	371	by (ftac asm_rl 1);
e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	372	by (etac (cont2contlub RS contlubE RS spec RS mp RS ssubst) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	373	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	374	by (stac thelub_fun 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	375	by (rtac ch2ch_monofun 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	376	by (etac cont2mono 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	377	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	378	by (rtac refl 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	379	qed "cont2cont_CF1L";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	380
1168 74be52691d62 The curried version of HOLCF is now just called HOLCF. The old regensbu parents: 892 diff changeset	381	(******* Note "(%x.%y.c1 x y) = c1" *********)
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	382
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	383	Goal "!y. monofun(%x. c1 x y) ==> monofun(c1)";
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	384	by (rtac monofunI 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	385	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	386	by (rtac (less_fun RS iffD2) 1);
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	387	by (blast_tac (claset() addDs [monofunE]) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	388	qed "mono2mono_MF1L_rev";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	389
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	390	Goal "!y. cont(%x. c1 x y) ==> cont(c1)";
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	391	by (rtac monocontlub2cont 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	392	by (rtac (cont2mono RS allI RS mono2mono_MF1L_rev ) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	393	by (etac spec 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	394	by (rtac contlubI 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	395	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	396	by (rtac ext 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	397	by (stac thelub_fun 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	398	by (rtac (cont2mono RS allI RS mono2mono_MF1L_rev RS ch2ch_monofun) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	399	by (etac spec 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	400	by (atac 1);
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	401	by (blast_tac (claset() addDs [ cont2contlub RS contlubE]) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	402	qed "cont2cont_CF1L_rev";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	403
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	404	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	405	(* What D.A.Schmidt calls continuity of abstraction *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	406	(* never used here *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	407	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	408
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	409	Goal
4721 c8a8482a8124 renamed is_chain to chain, is_tord to tord, replaced chain_finite by chfin oheimb parents: 4098 diff changeset	410	"[\|chain(Y::nat=>'a);!y. cont(%x.(c::'a::cpo=>'b::cpo=>'c::cpo) x y)\|] ==>\
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	411	\ (%y. lub(range(%i. c (Y i) y))) = (lub(range(%i.%y. c (Y i) y)))";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	412	by (rtac trans 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	413	by (rtac (cont2contlub RS contlubE RS spec RS mp) 2);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	414	by (atac 3);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	415	by (etac cont2cont_CF1L_rev 2);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	416	by (rtac ext 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	417	by (rtac (cont2contlub RS contlubE RS spec RS mp RS sym) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	418	by (etac spec 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	419	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	420	qed "contlub_abstraction";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	421
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	422	Goal "[\|monofun(ft);!x. monofun(ft(x));monofun(tt)\|] ==>\
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	423	\ monofun(%x.(ft(x))(tt(x)))";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	424	by (rtac monofunI 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	425	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	426	by (res_inst_tac [("f1.0","ft(x)"),("f2.0","ft(y)")] monofun_fun 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	427	by (etac spec 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	428	by (etac spec 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	429	by (etac (monofunE RS spec RS spec RS mp) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	430	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	431	by (etac (monofunE RS spec RS spec RS mp) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	432	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	433	qed "mono2mono_app";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	434
625 119391dd1d59 New version nipkow parents: 243 diff changeset	435
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	436	Goal "[\|cont(ft);!x. cont(ft(x));cont(tt)\|] ==> contlub(%x.(ft(x))(tt(x)))";
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	437	by (rtac contlubI 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	438	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	439	by (res_inst_tac [("f3","tt")] (contlubE RS spec RS mp RS ssubst) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	440	by (etac cont2contlub 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	441	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	442	by (rtac contlub_CF2 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	443	by (REPEAT (atac 1));
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	444	by (etac (cont2mono RS ch2ch_monofun) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	445	by (atac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	446	qed "cont2contlub_app";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	447
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	448
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	449	Goal "[\|cont(ft); !x. cont(ft(x)); cont(tt)\|] ==> cont(%x.(ft(x))(tt(x)))";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	450	by (blast_tac (claset() addIs [monocontlub2cont, mono2mono_app, cont2mono,
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	451	cont2contlub_app]) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	452	qed "cont2cont_app";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	453
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	454
1779 1155c06fa956 introduced forgotten bind_thm calls oheimb parents: 1461 diff changeset	455	bind_thm ("cont2cont_app2", allI RSN (2,cont2cont_app));
1168 74be52691d62 The curried version of HOLCF is now just called HOLCF. The old regensbu parents: 892 diff changeset	456	(* [\| cont ?ft; !!x. cont (?ft x); cont ?tt \|] ==> *)
74be52691d62 The curried version of HOLCF is now just called HOLCF. The old regensbu parents: 892 diff changeset	457	(* cont (%x. ?ft x (?tt x)) *)
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	458
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	459
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	460	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	461	(* The identity function is continuous *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	462	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	463
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	464	Goal "cont(% x. x)";
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	465	by (rtac contI 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	466	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	467	by (etac thelubE 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	468	by (rtac refl 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	469	qed "cont_id";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	470
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	471	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	472	(* constant functions are continuous *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	473	(* ------------------------------------------------------------------------ *)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	474
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	475	Goalw [cont] "cont(%x. c)";
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	476	by (strip_tac 1);
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	477	by (blast_tac (claset() addIs [is_lubI, ub_rangeI] addDs [ub_rangeD]) 1);
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	478	qed "cont_const";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	479
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	480
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	481	Goal "[\|cont(f); cont(t) \|] ==> cont(%x. f(t(x)))";
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	482	by (best_tac (claset() addIs [ cont2cont_app2, cont_const]) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	483	qed "cont2cont_app3";
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	484
2640 ee4dfce170a0 Changes of HOLCF from Oscar Slotosch: slotosch parents: 2354 diff changeset	485	(* ------------------------------------------------------------------------ *)
ee4dfce170a0 Changes of HOLCF from Oscar Slotosch: slotosch parents: 2354 diff changeset	486	(* A non-emptyness result for Cfun *)
ee4dfce170a0 Changes of HOLCF from Oscar Slotosch: slotosch parents: 2354 diff changeset	487	(* ------------------------------------------------------------------------ *)
ee4dfce170a0 Changes of HOLCF from Oscar Slotosch: slotosch parents: 2354 diff changeset	488
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	489	Goal "?x:Collect cont";
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	490	by (rtac CollectI 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	491	by (rtac cont_const 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	492	qed "CfunI";
3326 930c9bed5a09 Moved the classes flat chfin from Fix to Pcpo. slotosch parents: 2838 diff changeset	493
930c9bed5a09 Moved the classes flat chfin from Fix to Pcpo. slotosch parents: 2838 diff changeset	494	(* ------------------------------------------------------------------------ *)
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	495	(* some properties of flat *)
3326 930c9bed5a09 Moved the classes flat chfin from Fix to Pcpo. slotosch parents: 2838 diff changeset	496	(* ------------------------------------------------------------------------ *)
930c9bed5a09 Moved the classes flat chfin from Fix to Pcpo. slotosch parents: 2838 diff changeset	497
9248 e1dee89de037 massive tidy-up: goal -> Goal, remove use of prems, etc. paulson parents: 9245 diff changeset	498	Goalw [monofun] "f UU = UU ==> monofun (f::'a::flat=>'b::pcpo)";
9245 428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	499	by (strip_tac 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	500	by (dtac (ax_flat RS spec RS spec RS mp) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	501	by (fast_tac ((HOL_cs addss (simpset() addsimps [minimal]))) 1);
428385c4bc50 removed most batch-style proofs paulson parents: 8935 diff changeset	502	qed "flatdom2monofun";
3326 930c9bed5a09 Moved the classes flat chfin from Fix to Pcpo. slotosch parents: 2838 diff changeset	503
930c9bed5a09 Moved the classes flat chfin from Fix to Pcpo. slotosch parents: 2838 diff changeset	504
5297 410417e0fd04 repaired proof of chfindom_monofun2cont oheimb parents: 4721 diff changeset	505	Goal "monofun f ==> cont(f::'a::chfin=>'b::pcpo)";
7322 d16d7ddcc842 isatool expandshort; wenzelm parents: 5297 diff changeset	506	by (rtac monocontlub2cont 1);
d16d7ddcc842 isatool expandshort; wenzelm parents: 5297 diff changeset	507	by ( atac 1);
d16d7ddcc842 isatool expandshort; wenzelm parents: 5297 diff changeset	508	by (rtac contlubI 1);
d16d7ddcc842 isatool expandshort; wenzelm parents: 5297 diff changeset	509	by (strip_tac 1);
7499 23e090051cb8 isatool expandshort; wenzelm parents: 7322 diff changeset	510	by (ftac chfin2finch 1);
7322 d16d7ddcc842 isatool expandshort; wenzelm parents: 5297 diff changeset	511	by (rtac antisym_less 1);
d16d7ddcc842 isatool expandshort; wenzelm parents: 5297 diff changeset	512	by ( force_tac (HOL_cs addIs [is_ub_thelub,ch2ch_monofun],
5297 410417e0fd04 repaired proof of chfindom_monofun2cont oheimb parents: 4721 diff changeset	513	HOL_ss addsimps [finite_chain_def,maxinch_is_thelub]) 1);
7322 d16d7ddcc842 isatool expandshort; wenzelm parents: 5297 diff changeset	514	by (dtac (monofun_finch2finch COMP swap_prems_rl) 1);
d16d7ddcc842 isatool expandshort; wenzelm parents: 5297 diff changeset	515	by ( atac 1);
d16d7ddcc842 isatool expandshort; wenzelm parents: 5297 diff changeset	516	by (asm_full_simp_tac (HOL_ss addsimps [finite_chain_def]) 1);
d16d7ddcc842 isatool expandshort; wenzelm parents: 5297 diff changeset	517	by (etac conjE 1);
d16d7ddcc842 isatool expandshort; wenzelm parents: 5297 diff changeset	518	by (etac exE 1);
d16d7ddcc842 isatool expandshort; wenzelm parents: 5297 diff changeset	519	by (asm_full_simp_tac (HOL_ss addsimps [maxinch_is_thelub]) 1);
d16d7ddcc842 isatool expandshort; wenzelm parents: 5297 diff changeset	520	by (etac (monofunE RS spec RS spec RS mp) 1);
d16d7ddcc842 isatool expandshort; wenzelm parents: 5297 diff changeset	521	by (etac is_ub_thelub 1);
5297 410417e0fd04 repaired proof of chfindom_monofun2cont oheimb parents: 4721 diff changeset	522	qed "chfindom_monofun2cont";
3326 930c9bed5a09 Moved the classes flat chfin from Fix to Pcpo. slotosch parents: 2838 diff changeset	523
930c9bed5a09 Moved the classes flat chfin from Fix to Pcpo. slotosch parents: 2838 diff changeset	524	bind_thm ("flatdom_strict2cont",flatdom2monofun RS chfindom_monofun2cont);
930c9bed5a09 Moved the classes flat chfin from Fix to Pcpo. slotosch parents: 2838 diff changeset	525	(* f UU = UU ==> cont (f::'a=>'b::pcpo)" *)

author	nipkow
	Tue, 22 Feb 2005 10:54:30 +0100
changeset 15543	0024472afce7
parent 14981	e73f8140af78
child 15565	2454493bd77b
permissions	-rw-r--r--