# HG changeset patch # User paulson # Date 833795035 -7200 # Node ID 036a7f3016233468ac2363150092cfd8a0d13cd2 # Parent 173ce86b4c22fc31de778f98a4aaff6cdabc1ba8 Added a new theorem, UN_Int_subset diff -r 173ce86b4c22 -r 036a7f301623 src/ZF/equalities.ML --- a/src/ZF/equalities.ML Mon Jun 03 11:41:26 1996 +0200 +++ b/src/ZF/equalities.ML Mon Jun 03 11:43:55 1996 +0200 @@ -270,6 +270,10 @@ by (fast_tac eq_cs 1); qed "INT_Int_distrib"; +goal ZF.thy "(UN z:I Int J. A(z)) <= (UN z:I. A(z)) Int (UN z:J. A(z))"; +by (fast_tac ZF_cs 1); +qed "UN_Int_subset"; + (** Devlin, page 12, exercise 5: Complements **) goal ZF.thy "!!A B. i:I ==> B - (UN i:I. A(i)) = (INT i:I. B - A(i))";