src/HOL/Transitive_Closure.thy
changeset 32601 47d0c967c64e
parent 32235 8f9b8d14fc9f
child 32883 7cbd93dacef3
     1.1 --- a/src/HOL/Transitive_Closure.thy	Fri Sep 18 07:54:26 2009 +0200
     1.2 +++ b/src/HOL/Transitive_Closure.thy	Fri Sep 18 09:07:48 2009 +0200
     1.3 @@ -77,7 +77,7 @@
     1.4  subsection {* Reflexive-transitive closure *}
     1.5  
     1.6  lemma reflcl_set_eq [pred_set_conv]: "(sup (\<lambda>x y. (x, y) \<in> r) op =) = (\<lambda>x y. (x, y) \<in> r Un Id)"
     1.7 -  by (simp add: expand_fun_eq)
     1.8 +  by (simp add: expand_fun_eq sup2_iff)
     1.9  
    1.10  lemma r_into_rtrancl [intro]: "!!p. p \<in> r ==> p \<in> r^*"
    1.11    -- {* @{text rtrancl} of @{text r} contains @{text r} *}