--- a/src/HOL/Predicate.thy Wed Sep 23 16:32:53 2009 +0200
+++ b/src/HOL/Predicate.thy Wed Sep 23 16:32:53 2009 +0200
@@ -81,7 +81,7 @@
lemma sup2_iff: "sup A B x y \<longleftrightarrow> A x y | B x y"
by (simp add: sup_fun_eq sup_bool_eq)
-lemma sup_Un_eq [pred_set_conv]: "sup (\<lambda>x. x \<in> R) (\<lambda>x. x \<in> S) = (\<lambda>x. x \<in> R \<union> S)"
+lemma sup_Un_eq: "sup (\<lambda>x. x \<in> R) (\<lambda>x. x \<in> S) = (\<lambda>x. x \<in> R \<union> S)"
by (simp add: sup1_iff expand_fun_eq)
lemma sup_Un_eq2 [pred_set_conv]: "sup (\<lambda>x y. (x, y) \<in> R) (\<lambda>x y. (x, y) \<in> S) = (\<lambda>x y. (x, y) \<in> R \<union> S)"
@@ -125,7 +125,7 @@
lemma inf2_iff: "inf A B x y \<longleftrightarrow> A x y \<and> B x y"
by (simp add: inf_fun_eq inf_bool_eq)
-lemma inf_Int_eq [pred_set_conv]: "inf (\<lambda>x. x \<in> R) (\<lambda>x. x \<in> S) = (\<lambda>x. x \<in> R \<inter> S)"
+lemma inf_Int_eq: "inf (\<lambda>x. x \<in> R) (\<lambda>x. x \<in> S) = (\<lambda>x. x \<in> R \<inter> S)"
by (simp add: inf1_iff expand_fun_eq)
lemma inf_Int_eq2 [pred_set_conv]: "inf (\<lambda>x y. (x, y) \<in> R) (\<lambda>x y. (x, y) \<in> S) = (\<lambda>x y. (x, y) \<in> R \<inter> S)"