src/HOL/MiniML/MiniML.ML
author nipkow
Tue, 27 Feb 1996 18:22:47 +0100
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used qed_spec_mp.
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(* Title:     HOL/MiniML/MiniML.ML
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   ID:        $Id$
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   Author:    Dieter Nazareth and Tobias Nipkow
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   Copyright  1995 TU Muenchen
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*)
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open MiniML;
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Addsimps has_type.intrs;
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Addsimps [Un_upper1,Un_upper2];
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(* has_type is closed w.r.t. substitution *)
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goal MiniML.thy
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     "!a e t. (a |- e :: t) --> ($ s a |- e :: $ s t)";
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by (rtac has_type.mutual_induct 1);
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(* case VarI *)
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by (asm_full_simp_tac (!simpset addsimps [app_subst_list]) 1);
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by (forw_inst_tac [("f1","$ s")] (nth_map RS sym) 1);
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by( fast_tac (HOL_cs addIs [has_type.VarI] addss (!simpset delsimps [nth_map])) 1);
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(* case AbsI *)
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by (asm_full_simp_tac (!simpset addsimps [app_subst_list]) 1);
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(* case AppI *)
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by (Asm_full_simp_tac 1);
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qed_spec_mp "has_type_cl_sub";