src/HOL/Nat.ML
author wenzelm
Sat, 04 Apr 1998 12:28:39 +0200
changeset 4793 03fd006fb97b
parent 4686 74a12e86b20b
child 5069 3ea049f7979d
permissions -rw-r--r--
replaced thy_data by thy_setup;

(*  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 (Simp_tac 1);
qed "min_Suc_Suc";

Addsimps [min_0L,min_0R,min_Suc_Suc];