src/HOL/Auth/Shared.ML
changeset 5502 da4d0444ea85
parent 5492 d9fc3457554e
child 5535 678999604ee9
--- a/src/HOL/Auth/Shared.ML	Fri Sep 18 14:39:51 1998 +0200
+++ b/src/HOL/Auth/Shared.ML	Fri Sep 18 14:40:11 1998 +0200
@@ -139,8 +139,8 @@
 by (Clarify_tac 1);
 by (res_inst_tac [("x","N")] exI 1);
 by (res_inst_tac [("x","Suc (N+Na)")] exI 1);
-by (asm_simp_tac (simpset() addsimps [less_not_refl3, le_add2, le_add1, 
-				     le_eq_less_Suc RS sym]) 1);
+by (asm_simp_tac (simpset() addsimps [less_not_refl3, le_add1, le_add2,
+				      less_Suc_eq_le]) 1);
 qed "Nonce_supply2";
 
 Goal "EX N N' N''. Nonce N ~: used evs & Nonce N' ~: used evs' & \
@@ -152,8 +152,8 @@
 by (res_inst_tac [("x","N")] exI 1);
 by (res_inst_tac [("x","Suc (N+Na)")] exI 1);
 by (res_inst_tac [("x","Suc (Suc (N+Na+Nb))")] exI 1);
-by (asm_simp_tac (simpset() addsimps [less_not_refl3, le_add2, le_add1, 
-				     le_eq_less_Suc RS sym]) 1);
+by (asm_simp_tac (simpset() addsimps [less_not_refl3, le_add1, le_add2,
+				      less_Suc_eq_le]) 1);
 qed "Nonce_supply3";
 
 Goal "Nonce (@ N. Nonce N ~: used evs) ~: used evs";