changeset 5270 | 70c599bff977 |
parent 5183 | 89f162de39cf |
child 5316 | 7a8975451a89 |
--- a/src/HOL/Arith.ML Thu Aug 06 12:44:07 1998 +0200 +++ b/src/HOL/Arith.ML Thu Aug 06 12:45:02 1998 +0200 @@ -179,16 +179,6 @@ qed "not_add_less2"; AddIffs [not_add_less1, not_add_less2]; -Goal "!!k::nat. m <= n ==> m <= n+k"; -by (etac le_trans 1); -by (rtac le_add1 1); -qed "le_imp_add_le"; - -Goal "!!k::nat. m < n ==> m < n+k"; -by (etac less_le_trans 1); -by (rtac le_add1 1); -qed "less_imp_add_less"; - Goal "m+k<=n --> m<=(n::nat)"; by (induct_tac "k" 1); by (ALLGOALS Asm_simp_tac);