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(* Title: CTT/rew.ML
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1459
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Author: Lawrence C Paulson, Cambridge University Computer Laboratory
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Copyright 1991 University of Cambridge
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19761
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Simplifier for CTT, using Typedsimp.
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*)
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(*Make list of ProdE RS ProdE ... RS ProdE RS EqE
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for using assumptions as rewrite rules*)
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fun peEs 0 = []
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| peEs n = thm "EqE" :: map (curry (op RS) (thm "ProdE")) (peEs (n-1));
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(*Tactic used for proving conditions for the cond_rls*)
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val prove_cond_tac = eresolve_tac (peEs 5);
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structure TSimp_data: TSIMP_DATA =
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struct
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val refl = thm "refl_elem"
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val sym = thm "sym_elem"
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val trans = thm "trans_elem"
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val refl_red = thm "refl_red"
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val trans_red = thm "trans_red"
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val red_if_equal = thm "red_if_equal"
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val default_rls = thms "comp_rls"
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val routine_tac = routine_tac (thms "routine_rls")
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end;
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structure TSimp = TSimpFun (TSimp_data);
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val standard_congr_rls = thms "intrL2_rls" @ thms "elimL_rls";
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(*Make a rewriting tactic from a normalization tactic*)
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fun make_rew_tac ntac =
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TRY eqintr_tac THEN TRYALL (resolve_tac [TSimp.split_eqn]) THEN
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ntac;
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fun rew_tac thms = make_rew_tac
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(TSimp.norm_tac(standard_congr_rls, thms));
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fun hyp_rew_tac thms = make_rew_tac
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(TSimp.cond_norm_tac(prove_cond_tac, standard_congr_rls, thms));
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