| author | paulson |
| Wed, 25 Nov 1998 15:54:41 +0100 | |
| changeset 5971 | c5a7a7685826 |
| parent 5738 | 0d8698c15439 |
| child 7847 | 5a3fa0c4b215 |
| permissions | -rw-r--r-- |
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(* Title: HOL/Induct/Term.ML |
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ID: $Id$ |
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Author: Stefan Berghofer, TU Muenchen |
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Copyright 1998 TU Muenchen |
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Terms over a given alphabet -- function applications |
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*) |
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(** a simple theorem about composition of substitutions **) |
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Goal "(subst_term ((subst_term f1) o f2) t) = \ |
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\ (subst_term f1 (subst_term f2 t)) & \ |
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\ (subst_term_list ((subst_term f1) o f2) ts) = \ |
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\ (subst_term_list f1 (subst_term_list f2 ts))"; |
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by (mutual_induct_tac ["t", "ts"] 1); |
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by (ALLGOALS Asm_full_simp_tac); |
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qed "subst_comp"; |
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(**** alternative induction rule ****) |
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bind_thm ("term_induct2", prove_goal thy
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"[| !!v. P (Var v); \ |
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\ !!f ts. list_all P ts ==> P (App f ts) |] ==> \ |
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\ P t & list_all P ts" |
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(fn prems => |
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[mutual_induct_tac ["t", "ts"] 1, |
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resolve_tac prems 1, |
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resolve_tac prems 1, |
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atac 1, |
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ALLGOALS Asm_simp_tac]) RS conjunct1); |