src/HOL/Nat.ML
author nipkow
Mon, 03 Nov 1997 09:58:06 +0100
changeset 4072 d0d32dd77440
parent 3023 01364e2f30ad
child 4686 74a12e86b20b
permissions -rw-r--r--
expand_option_bind -> split_option_bind

(*  Title:      HOL/Nat.ML
    ID:         $Id$
    Author:     Tobias Nipkow
    Copyright   1997 TU Muenchen
*)

goal thy "min 0 n = 0";
by (rtac min_leastL 1);
by (trans_tac 1);
qed "min_0L";

goal thy "min n 0 = 0";
by (rtac min_leastR 1);
by (trans_tac 1);
qed "min_0R";

goalw thy [min_def] "min (Suc m) (Suc n) = Suc(min m n)";
by (split_tac [expand_if] 1);
by (Simp_tac 1);
qed "min_Suc_Suc";

Addsimps [min_0L,min_0R,min_Suc_Suc];