src/HOL/Lex/Auto.ML
author wenzelm
Mon, 03 Nov 1997 12:13:18 +0100
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child 4162 4c2da701b801
permissions -rw-r--r--
isatool fixclasimp;
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(*  Title:      HOL/Lex/Auto.ML
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    ID:         $Id$
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    Author:     Richard Mayr & Tobias Nipkow
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    Copyright   1995 TUM
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*)
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open Auto;
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goalw Auto.thy [nexts_def] "nexts A st [] = st";
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by(Simp_tac 1);
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qed"nexts_Nil";
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goalw Auto.thy [nexts_def] "nexts A st (x#xs) = nexts A (next A st x) xs";
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by(Simp_tac 1);
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qed"nexts_Cons";
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Addsimps [nexts_Nil,nexts_Cons];
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goalw Auto.thy [acc_prefix_def] "~acc_prefix A st []";
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by(Simp_tac 1);
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qed"acc_prefix_Nil";
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Addsimps [acc_prefix_Nil];
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goalw Auto.thy [acc_prefix_def]
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 "acc_prefix A s (x#xs) = (fin A (next A s x) | acc_prefix A (next A s x) xs)";
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by(simp_tac (simpset() addsimps [prefix_Cons]) 1);
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by(safe_tac (claset()));
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  by(Asm_full_simp_tac 1);
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  by (case_tac "zs=[]" 1);
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   by(hyp_subst_tac 1);
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   by(Asm_full_simp_tac 1);
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  by(Fast_tac 1);
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 by(res_inst_tac [("x","[x]")] exI 1);
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 by(asm_simp_tac (simpset() addsimps [eq_sym_conv]) 1);
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by(res_inst_tac [("x","x#us")] exI 1);
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by(Asm_simp_tac 1);
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qed"acc_prefix_Cons";
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Addsimps [acc_prefix_Cons];