| author | wenzelm |
| Sat, 01 Jul 2000 19:55:22 +0200 | |
| changeset 9230 | 17ae63f82ad8 |
| parent 243 | c22b85994e17 |
| permissions | -rw-r--r-- |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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(* Title: HOLCF/tr2.ML |
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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ID: $Id$ |
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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Author: Franz Regensburger |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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Copyright 1993 Technische Universitaet Muenchen |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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Lemmas for tr2.thy |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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*) |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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open Tr2; |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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(* ------------------------------------------------------------------------ *) |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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(* lemmas about andalso *) |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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(* ------------------------------------------------------------------------ *) |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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fun prover s = prove_goalw Tr2.thy [andalso_def] s |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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(fn prems => |
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[ |
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(simp_tac (ccc1_ss addsimps tr_when) 1) |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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]); |
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val andalso_thms = map prover [ |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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"TT andalso y = y", |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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"FF andalso y = FF", |
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"UU andalso y = UU" |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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]; |
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val andalso_thms = andalso_thms @ |
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[prove_goalw Tr2.thy [andalso_def] "x andalso TT = x" |
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(fn prems => |
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[ |
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(res_inst_tac [("p","x")] trE 1),
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(asm_simp_tac (ccc1_ss addsimps tr_when) 1), |
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(asm_simp_tac (ccc1_ss addsimps tr_when) 1), |
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(asm_simp_tac (ccc1_ss addsimps tr_when) 1) |
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])]; |
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(* ------------------------------------------------------------------------ *) |
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(* lemmas about orelse *) |
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(* ------------------------------------------------------------------------ *) |
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fun prover s = prove_goalw Tr2.thy [orelse_def] s |
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(fn prems => |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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[ |
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(simp_tac (ccc1_ss addsimps tr_when) 1) |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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]); |
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val orelse_thms = map prover [ |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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"TT orelse y = TT", |
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"FF orelse y = y", |
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"UU orelse y = UU" |
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]; |
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val orelse_thms = orelse_thms @ |
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[prove_goalw Tr2.thy [orelse_def] "x orelse FF = x" |
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(fn prems => |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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[ |
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(res_inst_tac [("p","x")] trE 1),
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(asm_simp_tac (ccc1_ss addsimps tr_when) 1), |
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(asm_simp_tac (ccc1_ss addsimps tr_when) 1), |
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(asm_simp_tac (ccc1_ss addsimps tr_when) 1) |
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])]; |
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(* ------------------------------------------------------------------------ *) |
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(* lemmas about If_then_else_fi *) |
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(* ------------------------------------------------------------------------ *) |
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fun prover s = prove_goalw Tr2.thy [ifte_def] s |
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(fn prems => |
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[ |
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(simp_tac (ccc1_ss addsimps tr_when) 1) |
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]); |
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val ifte_thms = map prover [ |
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"If UU then e1 else e2 fi = UU", |
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"If FF then e1 else e2 fi = e2", |
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"If TT then e1 else e2 fi = e1"]; |
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