TFL/thms.sml
author paulson
Thu, 15 May 1997 12:29:59 +0200
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permissions -rw-r--r--
TFL now integrated with HOL (more work needed)
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structure Thms : Thms_sig =
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struct
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   type Thm = Thm.thm
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   val WFREC_COROLLARY = get_thm WF_Rel.thy "tfl_wfrec"
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   val WF_INDUCTION_THM = get_thm WF_Rel.thy "tfl_wf_induct"
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   val CUT_LEMMA = get_thm WF_Rel.thy "tfl_cut_apply"
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   val CUT_DEF = cut_def
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   local val _ = goal HOL.thy "!P x. P x --> P (Eps P)"
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         val _ = by (strip_tac 1)
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         val _ = by (rtac selectI 1)
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         val _ = by (assume_tac 1)
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   in val SELECT_AX = result()
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   end;
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  (*-------------------------------------------------------------------------
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   *  A useful congruence rule
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   *-------------------------------------------------------------------------*)
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   local val [p1,p2] = goal HOL.thy "(M = N) ==> \
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                          \ (!!x. ((x = N) ==> (f x = g x))) ==> \
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                          \ (Let M f = Let N g)";
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         val _ = by (simp_tac (HOL_ss addsimps[Let_def,p1]) 1);
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         val _ = by (rtac p2 1);
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         val _ = by (rtac refl 1);
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   in val LET_CONG = result() RS eq_reflection
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   end;
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   val COND_CONG = if_cong RS eq_reflection;
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   fun C f x y = f y x;
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   fun prover thl = [fast_tac HOL_cs 1];
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   val P = C (prove_goal HOL.thy) prover;
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   val eqT       = P"(x = True) --> x"
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   val rev_eq_mp = P"(x = y) --> y --> x"
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   val simp_thm  = P"(x-->y) --> (x = x') --> (x' --> y)"
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end;