changeset 39443 | 297cd703f1f0 |
parent 39428 | f967a16dfcdd |
child 39535 | d7728f65b353 |
1.1 --- a/src/HOL/Set.thy Tue Sep 07 15:56:33 2010 -0700 1.2 +++ b/src/HOL/Set.thy Wed Sep 08 10:45:55 2010 +0200 1.3 @@ -498,6 +498,8 @@ 1.4 lemma set_ext_iff [no_atp]: "(A = B) = (ALL x. (x:A) = (x:B))" 1.5 by(auto intro:set_ext) 1.6 1.7 +lemmas expand_set_eq [no_atp] = set_ext_iff 1.8 + 1.9 lemma subset_antisym [intro!]: "A \<subseteq> B ==> B \<subseteq> A ==> A = B" 1.10 -- {* Anti-symmetry of the subset relation. *} 1.11 by (iprover intro: set_ext subsetD)