src/HOL/Nat.ML
author paulson
Wed Apr 23 11:18:29 1997 +0200 (1997-04-23)
changeset 3023 01364e2f30ad
parent 2608 450c9b682a92
child 4686 74a12e86b20b
permissions -rw-r--r--
Ran expandshort
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(*  Title:      HOL/Nat.ML
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    ID:         $Id$
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    Author:     Tobias Nipkow
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    Copyright   1997 TU Muenchen
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*)
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goal thy "min 0 n = 0";
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by (rtac min_leastL 1);
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by (trans_tac 1);
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qed "min_0L";
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goal thy "min n 0 = 0";
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by (rtac min_leastR 1);
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by (trans_tac 1);
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qed "min_0R";
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goalw thy [min_def] "min (Suc m) (Suc n) = Suc(min m n)";
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by (split_tac [expand_if] 1);
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by (Simp_tac 1);
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qed "min_Suc_Suc";
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Addsimps [min_0L,min_0R,min_Suc_Suc];