diff -r d3d4ec6c21ef -r 22bc39064290 src/HOL/Library/Multiset.thy --- a/src/HOL/Library/Multiset.thy Wed Mar 25 10:41:53 2015 +0100 +++ b/src/HOL/Library/Multiset.thy Wed Mar 25 10:44:57 2015 +0100 @@ -1658,7 +1658,7 @@ apply (simp (no_asm)) apply (rule_tac x = "(K - {#a#}) + Ka" in exI) apply (simp (no_asm_simp) add: add.assoc [symmetric]) - apply (drule_tac f = "\M. M - {#a#}" and x="?S + ?T" in arg_cong) + apply (drule_tac f = "\M. M - {#a#}" and x="S + T" for S T in arg_cong) apply (simp add: diff_union_single_conv) apply (simp (no_asm_use) add: trans_def) apply blast @@ -1669,7 +1669,7 @@ apply (rule conjI) apply (simp add: multiset_eq_iff split: nat_diff_split) apply (rule conjI) - apply (drule_tac f = "\M. M - {#a#}" and x="?S + ?T" in arg_cong, simp) + apply (drule_tac f = "\M. M - {#a#}" and x="S + T" for S T in arg_cong, simp) apply (simp add: multiset_eq_iff split: nat_diff_split) apply (simp (no_asm_use) add: trans_def) apply blast @@ -1692,7 +1692,7 @@ apply (simp add: mult1_def set_of_def, blast) txt {* Now we know @{term "J' \ {#}"}. *} apply (cut_tac M = K and P = "\x. (x, a) \ r" in multiset_partition) -apply (erule_tac P = "\k \ set_of K. ?P k" in rev_mp) +apply (erule_tac P = "\k \ set_of K. P k" for P in rev_mp) apply (erule ssubst) apply (simp add: Ball_def, auto) apply (subgoal_tac