author | regensbu |
Fri, 06 Oct 1995 17:25:24 +0100 | |
changeset 1274 | ea0668a1c0ba |
parent 1267 | bca91b4e1710 |
child 1277 | caef3601c0b2 |
permissions | -rw-r--r-- |
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(* Title: HOLCF/sprod3.thy |
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ID: $Id$ |
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Author: Franz Regensburger |
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Copyright 1993 Technische Universitaet Muenchen |
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|
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Lemmas for Sprod3.thy |
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*) |
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|
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open Sprod3; |
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|
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(* ------------------------------------------------------------------------ *) |
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(* continuity of Ispair, Isfst, Issnd *) |
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(* ------------------------------------------------------------------------ *) |
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qed_goal "sprod3_lemma1" Sprod3.thy |
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"[| is_chain(Y); x~= UU; lub(range(Y))~= UU |] ==>\ |
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\ Ispair (lub(range Y)) x =\ |
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\ Ispair (lub(range(%i. Isfst(Ispair(Y i) x)))) \ |
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\ (lub(range(%i. Issnd(Ispair(Y i) x))))" |
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(fn prems => |
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[ |
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(cut_facts_tac prems 1), |
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(res_inst_tac [("f1","Ispair")] (arg_cong RS cong) 1), |
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(rtac lub_equal 1), |
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(atac 1), |
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(rtac (monofun_Isfst RS ch2ch_monofun) 1), |
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(rtac ch2ch_fun 1), |
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(rtac (monofun_Ispair1 RS ch2ch_monofun) 1), |
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(atac 1), |
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(rtac allI 1), |
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(Asm_simp_tac 1), |
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(rtac sym 1), |
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(rtac lub_chain_maxelem 1), |
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(res_inst_tac [("P","%j.~Y(j)=UU")] exE 1), |
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(rtac (notall2ex RS iffD1) 1), |
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(res_inst_tac [("Q","lub(range(Y)) = UU")] contrapos 1), |
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(atac 1), |
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(rtac chain_UU_I_inverse 1), |
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(atac 1), |
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(rtac exI 1), |
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(etac Issnd2 1), |
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(rtac allI 1), |
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(res_inst_tac [("Q","Y(i)=UU")] (excluded_middle RS disjE) 1), |
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(Asm_simp_tac 1), |
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(res_inst_tac [("s","UU"),("t","Y(i)")] subst 1), |
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(etac sym 1), |
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(Asm_simp_tac 1) |
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]); |
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qed_goal "sprod3_lemma2" Sprod3.thy |
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"[| is_chain(Y); x ~= UU; lub(range(Y)) = UU |] ==>\ |
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\ Ispair (lub(range Y)) x =\ |
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\ Ispair (lub(range(%i. Isfst(Ispair(Y i) x))))\ |
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\ (lub(range(%i. Issnd(Ispair(Y i) x))))" |
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(fn prems => |
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[ |
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(cut_facts_tac prems 1), |
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(res_inst_tac [("s","UU"),("t","lub(range(Y))")] ssubst 1), |
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(atac 1), |
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(rtac trans 1), |
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(rtac strict_Ispair1 1), |
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(rtac (strict_Ispair RS sym) 1), |
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(rtac disjI1 1), |
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(rtac chain_UU_I_inverse 1), |
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(rtac allI 1), |
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(Asm_simp_tac 1), |
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(etac (chain_UU_I RS spec) 1), |
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(atac 1) |
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]); |
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qed_goal "sprod3_lemma3" Sprod3.thy |
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"[| is_chain(Y); x = UU |] ==>\ |
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\ Ispair (lub(range Y)) x =\ |
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\ Ispair (lub(range(%i. Isfst(Ispair (Y i) x))))\ |
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\ (lub(range(%i. Issnd(Ispair (Y i) x))))" |
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(fn prems => |
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[ |
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(cut_facts_tac prems 1), |
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(res_inst_tac [("s","UU"),("t","x")] ssubst 1), |
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(atac 1), |
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(rtac trans 1), |
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(rtac strict_Ispair2 1), |
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(rtac (strict_Ispair RS sym) 1), |
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(rtac disjI1 1), |
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(rtac chain_UU_I_inverse 1), |
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(rtac allI 1), |
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(Simp_tac 1) |
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]); |
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qed_goal "contlub_Ispair1" Sprod3.thy "contlub(Ispair)" |
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(fn prems => |
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[ |
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(rtac contlubI 1), |
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(strip_tac 1), |
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(rtac (expand_fun_eq RS iffD2) 1), |
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(strip_tac 1), |
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(rtac (lub_fun RS thelubI RS ssubst) 1), |
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(etac (monofun_Ispair1 RS ch2ch_monofun) 1), |
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(rtac trans 1), |
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(rtac (thelub_sprod RS sym) 2), |
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(rtac ch2ch_fun 2), |
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(etac (monofun_Ispair1 RS ch2ch_monofun) 2), |
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(res_inst_tac [("Q","x=UU")] (excluded_middle RS disjE) 1), |
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(res_inst_tac |
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[("Q","lub(range(Y))=UU")] (excluded_middle RS disjE) 1), |
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(etac sprod3_lemma1 1), |
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(atac 1), |
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(atac 1), |
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(etac sprod3_lemma2 1), |
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(atac 1), |
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(atac 1), |
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(etac sprod3_lemma3 1), |
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(atac 1) |
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]); |
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qed_goal "sprod3_lemma4" Sprod3.thy |
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"[| is_chain(Y); x ~= UU; lub(range(Y)) ~= UU |] ==>\ |
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\ Ispair x (lub(range Y)) =\ |
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\ Ispair (lub(range(%i. Isfst (Ispair x (Y i)))))\ |
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\ (lub(range(%i. Issnd (Ispair x (Y i)))))" |
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(fn prems => |
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[ |
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(cut_facts_tac prems 1), |
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(res_inst_tac [("f1","Ispair")] (arg_cong RS cong) 1), |
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(rtac sym 1), |
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(rtac lub_chain_maxelem 1), |
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(res_inst_tac [("P","%j.Y(j)~=UU")] exE 1), |
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130 |
(rtac (notall2ex RS iffD1) 1), |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
131 |
(res_inst_tac [("Q","lub(range(Y)) = UU")] contrapos 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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132 |
(atac 1), |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
133 |
(rtac chain_UU_I_inverse 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
134 |
(atac 1), |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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diff
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|
135 |
(rtac exI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
136 |
(etac Isfst2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
137 |
(rtac allI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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diff
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|
138 |
(res_inst_tac [("Q","Y(i)=UU")] (excluded_middle RS disjE) 1), |
1267 | 139 |
(Asm_simp_tac 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
140 |
(res_inst_tac [("s","UU"),("t","Y(i)")] subst 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
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|
141 |
(etac sym 1), |
1267 | 142 |
(Asm_simp_tac 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
143 |
(rtac lub_equal 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
144 |
(atac 1), |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
145 |
(rtac (monofun_Issnd RS ch2ch_monofun) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
146 |
(rtac (monofun_Ispair2 RS ch2ch_monofun) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
147 |
(atac 1), |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
148 |
(rtac allI 1), |
1267 | 149 |
(Asm_simp_tac 1) |
243
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
150 |
]); |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
151 |
|
892 | 152 |
qed_goal "sprod3_lemma5" Sprod3.thy |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
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|
153 |
"[| is_chain(Y); x ~= UU; lub(range(Y)) = UU |] ==>\ |
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The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
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|
154 |
\ Ispair x (lub(range Y)) =\ |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
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|
155 |
\ Ispair (lub(range(%i. Isfst(Ispair x (Y i)))))\ |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
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|
156 |
\ (lub(range(%i. Issnd(Ispair x (Y i)))))" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
157 |
(fn prems => |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
158 |
[ |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
159 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
160 |
(res_inst_tac [("s","UU"),("t","lub(range(Y))")] ssubst 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
161 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
162 |
(rtac trans 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
163 |
(rtac strict_Ispair2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
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|
164 |
(rtac (strict_Ispair RS sym) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
165 |
(rtac disjI2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
166 |
(rtac chain_UU_I_inverse 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
167 |
(rtac allI 1), |
1267 | 168 |
(Asm_simp_tac 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
169 |
(etac (chain_UU_I RS spec) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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diff
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|
170 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
171 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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diff
changeset
|
172 |
|
892 | 173 |
qed_goal "sprod3_lemma6" Sprod3.thy |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
174 |
"[| is_chain(Y); x = UU |] ==>\ |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
175 |
\ Ispair x (lub(range Y)) =\ |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
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|
176 |
\ Ispair (lub(range(%i. Isfst (Ispair x (Y i)))))\ |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
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|
177 |
\ (lub(range(%i. Issnd (Ispair x (Y i)))))" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
178 |
(fn prems => |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
179 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
180 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
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|
181 |
(res_inst_tac [("s","UU"),("t","x")] ssubst 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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diff
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|
182 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
183 |
(rtac trans 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
184 |
(rtac strict_Ispair1 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
185 |
(rtac (strict_Ispair RS sym) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
186 |
(rtac disjI1 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
187 |
(rtac chain_UU_I_inverse 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
188 |
(rtac allI 1), |
1267 | 189 |
(Simp_tac 1) |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
190 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
191 |
|
892 | 192 |
qed_goal "contlub_Ispair2" Sprod3.thy "contlub(Ispair(x))" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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diff
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|
193 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
194 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
195 |
(rtac contlubI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
196 |
(strip_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
197 |
(rtac trans 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
198 |
(rtac (thelub_sprod RS sym) 2), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
199 |
(etac (monofun_Ispair2 RS ch2ch_monofun) 2), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
200 |
(res_inst_tac [("Q","x=UU")] (excluded_middle RS disjE) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
201 |
(res_inst_tac [("Q","lub(range(Y))=UU")] |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
202 |
(excluded_middle RS disjE) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
203 |
(etac sprod3_lemma4 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
204 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
205 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
206 |
(etac sprod3_lemma5 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
207 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
208 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
209 |
(etac sprod3_lemma6 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
210 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
211 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
212 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
213 |
|
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
214 |
qed_goal "cont_Ispair1" Sprod3.thy "cont(Ispair)" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
215 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
216 |
[ |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
217 |
(rtac monocontlub2cont 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
218 |
(rtac monofun_Ispair1 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
219 |
(rtac contlub_Ispair1 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
220 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
221 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
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|
222 |
|
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
223 |
qed_goal "cont_Ispair2" Sprod3.thy "cont(Ispair(x))" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
224 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
225 |
[ |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
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|
226 |
(rtac monocontlub2cont 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
227 |
(rtac monofun_Ispair2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
228 |
(rtac contlub_Ispair2 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
229 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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|
230 |
|
892 | 231 |
qed_goal "contlub_Isfst" Sprod3.thy "contlub(Isfst)" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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diff
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|
232 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
233 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
234 |
(rtac contlubI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
235 |
(strip_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
236 |
(rtac (lub_sprod RS thelubI RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
237 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
238 |
(res_inst_tac [("Q","lub(range(%i. Issnd(Y(i))))=UU")] |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
239 |
(excluded_middle RS disjE) 1), |
1267 | 240 |
(Asm_simp_tac 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
241 |
(res_inst_tac [("s","UU"),("t","lub(range(%i. Issnd(Y(i))))")] |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
242 |
ssubst 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
243 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
244 |
(rtac trans 1), |
1267 | 245 |
(Asm_simp_tac 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
246 |
(rtac sym 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
247 |
(rtac chain_UU_I_inverse 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
248 |
(rtac allI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
249 |
(rtac strict_Isfst 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
250 |
(rtac swap 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
251 |
(etac (defined_IsfstIssnd RS conjunct2) 2), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
252 |
(rtac notnotI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
253 |
(rtac (chain_UU_I RS spec) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
254 |
(rtac (monofun_Issnd RS ch2ch_monofun) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
255 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
256 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
257 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
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|
258 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
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changeset
|
259 |
|
892 | 260 |
qed_goal "contlub_Issnd" Sprod3.thy "contlub(Issnd)" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
261 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
262 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
263 |
(rtac contlubI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
264 |
(strip_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
265 |
(rtac (lub_sprod RS thelubI RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
266 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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diff
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|
267 |
(res_inst_tac [("Q","lub(range(%i. Isfst(Y(i))))=UU")] |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
268 |
(excluded_middle RS disjE) 1), |
1267 | 269 |
(Asm_simp_tac 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
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diff
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|
270 |
(res_inst_tac [("s","UU"),("t","lub(range(%i. Isfst(Y(i))))")] |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
271 |
ssubst 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
272 |
(atac 1), |
1267 | 273 |
(Asm_simp_tac 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
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|
274 |
(rtac sym 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
275 |
(rtac chain_UU_I_inverse 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
276 |
(rtac allI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
277 |
(rtac strict_Issnd 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
278 |
(rtac swap 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
279 |
(etac (defined_IsfstIssnd RS conjunct1) 2), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
280 |
(rtac notnotI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
281 |
(rtac (chain_UU_I RS spec) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
282 |
(rtac (monofun_Isfst RS ch2ch_monofun) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
283 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
284 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
285 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
286 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
287 |
|
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
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|
288 |
qed_goal "cont_Isfst" Sprod3.thy "cont(Isfst)" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
289 |
(fn prems => |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
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|
290 |
[ |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
291 |
(rtac monocontlub2cont 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
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|
292 |
(rtac monofun_Isfst 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
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|
293 |
(rtac contlub_Isfst 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
294 |
]); |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
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|
295 |
|
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
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|
296 |
qed_goal "cont_Issnd" Sprod3.thy "cont(Issnd)" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
297 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
298 |
[ |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
299 |
(rtac monocontlub2cont 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
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|
300 |
(rtac monofun_Issnd 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
301 |
(rtac contlub_Issnd 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
302 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
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|
303 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
304 |
(* |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
305 |
-------------------------------------------------------------------------- |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
306 |
more lemmas for Sprod3.thy |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
307 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
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|
308 |
-------------------------------------------------------------------------- |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
309 |
*) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
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|
310 |
|
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
311 |
qed_goal "spair_eq" Sprod3.thy "[|x1=x2;y1=y2|] ==> (|x1,y1|) = (|x2,y2|)" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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|
312 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
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|
313 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
314 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
315 |
(fast_tac HOL_cs 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
316 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
317 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
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|
318 |
(* ------------------------------------------------------------------------ *) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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parents:
diff
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|
319 |
(* convert all lemmas to the continuous versions *) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
320 |
(* ------------------------------------------------------------------------ *) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
321 |
|
892 | 322 |
qed_goalw "beta_cfun_sprod" Sprod3.thy [spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
323 |
"(LAM x y.Ispair x y)`a`b = Ispair a b" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
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|
324 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
325 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
326 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
327 |
(cont_tac 1), |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
328 |
(rtac cont_Ispair2 1), |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
329 |
(rtac cont2cont_CF1L 1), |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
330 |
(rtac cont_Ispair1 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
331 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
332 |
(rtac cont_Ispair2 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
333 |
(rtac refl 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
334 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
335 |
|
892 | 336 |
qed_goalw "inject_spair" Sprod3.thy [spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
337 |
"[| aa~=UU ; ba~=UU ; (|a,b|)=(|aa,ba|) |] ==> a=aa & b=ba" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
338 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
339 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
340 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
341 |
(etac inject_Ispair 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
342 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
343 |
(etac box_equals 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
344 |
(rtac beta_cfun_sprod 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
345 |
(rtac beta_cfun_sprod 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
346 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
347 |
|
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
348 |
qed_goalw "inst_sprod_pcpo2" Sprod3.thy [spair_def] "UU = (|UU,UU|)" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
349 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
350 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
351 |
(rtac sym 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
352 |
(rtac trans 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
353 |
(rtac beta_cfun_sprod 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
354 |
(rtac sym 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
355 |
(rtac inst_sprod_pcpo 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
356 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
357 |
|
892 | 358 |
qed_goalw "strict_spair" Sprod3.thy [spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
359 |
"(a=UU | b=UU) ==> (|a,b|)=UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
360 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
361 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
362 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
363 |
(rtac trans 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
364 |
(rtac beta_cfun_sprod 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
365 |
(rtac trans 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
366 |
(rtac (inst_sprod_pcpo RS sym) 2), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
367 |
(etac strict_Ispair 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
368 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
369 |
|
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
370 |
qed_goalw "strict_spair1" Sprod3.thy [spair_def] "(|UU,b|) = UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
371 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
372 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
373 |
(rtac (beta_cfun_sprod RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
374 |
(rtac trans 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
375 |
(rtac (inst_sprod_pcpo RS sym) 2), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
376 |
(rtac strict_Ispair1 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
377 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
378 |
|
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
379 |
qed_goalw "strict_spair2" Sprod3.thy [spair_def] "(|a,UU|) = UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
380 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
381 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
382 |
(rtac (beta_cfun_sprod RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
383 |
(rtac trans 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
384 |
(rtac (inst_sprod_pcpo RS sym) 2), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
385 |
(rtac strict_Ispair2 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
386 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
387 |
|
892 | 388 |
qed_goalw "strict_spair_rev" Sprod3.thy [spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
389 |
"(|x,y|)~=UU ==> ~x=UU & ~y=UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
390 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
391 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
392 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
393 |
(rtac strict_Ispair_rev 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
394 |
(rtac (beta_cfun_sprod RS subst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
395 |
(rtac (inst_sprod_pcpo RS subst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
396 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
397 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
398 |
|
892 | 399 |
qed_goalw "defined_spair_rev" Sprod3.thy [spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
400 |
"(|a,b|) = UU ==> (a = UU | b = UU)" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
401 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
402 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
403 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
404 |
(rtac defined_Ispair_rev 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
405 |
(rtac (beta_cfun_sprod RS subst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
406 |
(rtac (inst_sprod_pcpo RS subst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
407 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
408 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
409 |
|
892 | 410 |
qed_goalw "defined_spair" Sprod3.thy [spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
411 |
"[|a~=UU; b~=UU|] ==> (|a,b|) ~= UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
412 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
413 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
414 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
415 |
(rtac (beta_cfun_sprod RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
416 |
(rtac (inst_sprod_pcpo RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
417 |
(etac defined_Ispair 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
418 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
419 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
420 |
|
892 | 421 |
qed_goalw "Exh_Sprod2" Sprod3.thy [spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
422 |
"z=UU | (? a b. z=(|a,b|) & a~=UU & b~=UU)" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
423 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
424 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
425 |
(rtac (Exh_Sprod RS disjE) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
426 |
(rtac disjI1 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
427 |
(rtac (inst_sprod_pcpo RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
428 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
429 |
(rtac disjI2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
430 |
(etac exE 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
431 |
(etac exE 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
432 |
(rtac exI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
433 |
(rtac exI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
434 |
(rtac conjI 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
435 |
(rtac (beta_cfun_sprod RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
436 |
(fast_tac HOL_cs 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
437 |
(fast_tac HOL_cs 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
438 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
439 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
440 |
|
892 | 441 |
qed_goalw "sprodE" Sprod3.thy [spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
442 |
"[|p=UU ==> Q;!!x y. [|p=(|x,y|);x~=UU ; y~=UU|] ==> Q|] ==> Q" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
443 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
444 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
445 |
(rtac IsprodE 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
446 |
(resolve_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
447 |
(rtac (inst_sprod_pcpo RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
448 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
449 |
(resolve_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
450 |
(atac 2), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
451 |
(atac 2), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
452 |
(rtac (beta_cfun_sprod RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
453 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
454 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
455 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
456 |
|
892 | 457 |
qed_goalw "strict_sfst" Sprod3.thy [sfst_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
458 |
"p=UU==>sfst`p=UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
459 |
(fn prems => |
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 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
462 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
463 |
(rtac cont_Isfst 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
464 |
(rtac strict_Isfst 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
465 |
(rtac (inst_sprod_pcpo RS subst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
466 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
467 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
468 |
|
892 | 469 |
qed_goalw "strict_sfst1" Sprod3.thy [sfst_def,spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
470 |
"sfst`(|UU,y|) = UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
471 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
472 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
473 |
(rtac (beta_cfun_sprod RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
474 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
475 |
(rtac cont_Isfst 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
476 |
(rtac strict_Isfst1 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
477 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
478 |
|
892 | 479 |
qed_goalw "strict_sfst2" Sprod3.thy [sfst_def,spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
480 |
"sfst`(|x,UU|) = UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
481 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
482 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
483 |
(rtac (beta_cfun_sprod RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
484 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
485 |
(rtac cont_Isfst 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
486 |
(rtac strict_Isfst2 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
487 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
488 |
|
892 | 489 |
qed_goalw "strict_ssnd" Sprod3.thy [ssnd_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
490 |
"p=UU==>ssnd`p=UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
491 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
492 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
493 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
494 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
495 |
(rtac cont_Issnd 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
496 |
(rtac strict_Issnd 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
497 |
(rtac (inst_sprod_pcpo RS subst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
498 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
499 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
500 |
|
892 | 501 |
qed_goalw "strict_ssnd1" Sprod3.thy [ssnd_def,spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
502 |
"ssnd`(|UU,y|) = UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
503 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
504 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
505 |
(rtac (beta_cfun_sprod RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
506 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
507 |
(rtac cont_Issnd 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
508 |
(rtac strict_Issnd1 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
509 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
510 |
|
892 | 511 |
qed_goalw "strict_ssnd2" Sprod3.thy [ssnd_def,spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
512 |
"ssnd`(|x,UU|) = UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
513 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
514 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
515 |
(rtac (beta_cfun_sprod RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
516 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
517 |
(rtac cont_Issnd 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
518 |
(rtac strict_Issnd2 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
519 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
520 |
|
892 | 521 |
qed_goalw "sfst2" Sprod3.thy [sfst_def,spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
522 |
"y~=UU ==>sfst`(|x,y|)=x" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
523 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
524 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
525 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
526 |
(rtac (beta_cfun_sprod RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
527 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
528 |
(rtac cont_Isfst 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
529 |
(etac Isfst2 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
530 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
531 |
|
892 | 532 |
qed_goalw "ssnd2" Sprod3.thy [ssnd_def,spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
533 |
"x~=UU ==>ssnd`(|x,y|)=y" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
534 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
535 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
536 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
537 |
(rtac (beta_cfun_sprod RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
538 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
539 |
(rtac cont_Issnd 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
540 |
(etac Issnd2 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
541 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
542 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
543 |
|
892 | 544 |
qed_goalw "defined_sfstssnd" Sprod3.thy [sfst_def,ssnd_def,spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
545 |
"p~=UU ==> sfst`p ~=UU & ssnd`p ~=UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
546 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
547 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
548 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
549 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
550 |
(rtac cont_Issnd 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
551 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
552 |
(rtac cont_Isfst 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
553 |
(rtac defined_IsfstIssnd 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
554 |
(rtac (inst_sprod_pcpo RS subst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
555 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
556 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
557 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
558 |
|
892 | 559 |
qed_goalw "surjective_pairing_Sprod2" Sprod3.thy |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
560 |
[sfst_def,ssnd_def,spair_def] "(|sfst`p , ssnd`p|) = p" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
561 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
562 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
563 |
(rtac (beta_cfun_sprod RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
564 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
565 |
(rtac cont_Issnd 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
566 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
567 |
(rtac cont_Isfst 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
568 |
(rtac (surjective_pairing_Sprod RS sym) 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
569 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
570 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
571 |
|
892 | 572 |
qed_goalw "less_sprod5b" Sprod3.thy [sfst_def,ssnd_def,spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
573 |
"p1~=UU ==> (p1<<p2) = (sfst`p1<<sfst`p2 & ssnd`p1<<ssnd`p2)" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
574 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
575 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
576 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
577 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
578 |
(rtac cont_Issnd 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
579 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
580 |
(rtac cont_Issnd 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
581 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
582 |
(rtac cont_Isfst 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
583 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
584 |
(rtac cont_Isfst 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
585 |
(rtac less_sprod3b 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
586 |
(rtac (inst_sprod_pcpo RS subst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
587 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
588 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
589 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
590 |
|
892 | 591 |
qed_goalw "less_sprod5c" Sprod3.thy [sfst_def,ssnd_def,spair_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
592 |
"[|(|xa,ya|) << (|x,y|);xa~=UU;ya~=UU;x~=UU;y~=UU|] ==>xa<<x & ya << y" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
593 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
594 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
595 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
596 |
(rtac less_sprod4c 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
597 |
(REPEAT (atac 2)), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
598 |
(rtac (beta_cfun_sprod RS subst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
599 |
(rtac (beta_cfun_sprod RS subst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
600 |
(atac 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
601 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
602 |
|
892 | 603 |
qed_goalw "lub_sprod2" Sprod3.thy [sfst_def,ssnd_def,spair_def] |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
604 |
"[|is_chain(S)|] ==> range(S) <<| \ |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
605 |
\ (| lub(range(%i.sfst`(S i))), lub(range(%i.ssnd`(S i))) |)" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
606 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
607 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
608 |
(cut_facts_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
609 |
(rtac (beta_cfun_sprod RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
610 |
(rtac (beta_cfun RS ext RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
611 |
(rtac cont_Issnd 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
612 |
(rtac (beta_cfun RS ext RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
613 |
(rtac cont_Isfst 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
614 |
(rtac lub_sprod 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
615 |
(resolve_tac prems 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
616 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
617 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
618 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
619 |
val thelub_sprod2 = (lub_sprod2 RS thelubI); |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
620 |
(* |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
621 |
"is_chain ?S1 ==> |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
622 |
lub (range ?S1) = |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
623 |
(|lub (range (%i. sfst`(?S1 i))), lub (range (%i. ssnd`(?S1 i)))|)" : thm |
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
624 |
*) |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
625 |
|
892 | 626 |
qed_goalw "ssplit1" Sprod3.thy [ssplit_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
627 |
"ssplit`f`UU=UU" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
628 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
629 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
630 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
631 |
(cont_tacR 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
632 |
(rtac (strictify1 RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
633 |
(rtac refl 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
634 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
635 |
|
892 | 636 |
qed_goalw "ssplit2" Sprod3.thy [ssplit_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
637 |
"[|x~=UU;y~=UU|] ==> ssplit`f`(|x,y|)= f`x`y" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
638 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
639 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
640 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
641 |
(cont_tacR 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
642 |
(rtac (strictify2 RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
643 |
(rtac defined_spair 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
644 |
(resolve_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
645 |
(resolve_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
646 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
647 |
(cont_tacR 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
648 |
(rtac (sfst2 RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
649 |
(resolve_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
650 |
(rtac (ssnd2 RS ssubst) 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
651 |
(resolve_tac prems 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
652 |
(rtac refl 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
653 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
654 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
655 |
|
892 | 656 |
qed_goalw "ssplit3" Sprod3.thy [ssplit_def] |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
657 |
"ssplit`spair`z=z" |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
658 |
(fn prems => |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
659 |
[ |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
660 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
661 |
(cont_tacR 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
662 |
(res_inst_tac [("Q","z=UU")] classical2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
663 |
(hyp_subst_tac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
664 |
(rtac strictify1 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
665 |
(rtac trans 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
666 |
(rtac strictify2 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
667 |
(atac 1), |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
668 |
(rtac (beta_cfun RS ssubst) 1), |
1168
74be52691d62
The curried version of HOLCF is now just called HOLCF. The old
regensbu
parents:
1043
diff
changeset
|
669 |
(cont_tacR 1), |
243
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
670 |
(rtac surjective_pairing_Sprod2 1) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
671 |
]); |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
672 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
673 |
|
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
674 |
(* ------------------------------------------------------------------------ *) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
675 |
(* install simplifier for Sprod *) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
676 |
(* ------------------------------------------------------------------------ *) |
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
nipkow
parents:
diff
changeset
|
677 |
|
1274 | 678 |
val Sprod_rews = [strict_spair1,strict_spair2,strict_sfst1,strict_sfst2, |
679 |
strict_ssnd1,strict_ssnd2,sfst2,ssnd2,defined_spair, |
|
680 |
ssplit1,ssplit2]; |
|
681 |
||
1267 | 682 |
Addsimps [strict_spair1,strict_spair2,strict_sfst1,strict_sfst2, |
683 |
strict_ssnd1,strict_ssnd2,sfst2,ssnd2, |
|
684 |
ssplit1,ssplit2]; |