# HG changeset patch # User paulson # Date 981468176 -3600 # Node ID f869d8617c81216387b7694e91dd401366a52d88 # Parent b996b1857028b30441e989130605e06c2f1f3f9b new theorem Transset_iff_Union_subset diff -r b996b1857028 -r f869d8617c81 src/ZF/Ordinal.ML --- a/src/ZF/Ordinal.ML Tue Feb 06 14:42:28 2001 +0100 +++ b/src/ZF/Ordinal.ML Tue Feb 06 15:02:56 2001 +0100 @@ -8,7 +8,7 @@ (*** Rules for Transset ***) -(** Two neat characterisations of Transset **) +(** Three neat characterisations of Transset **) Goalw [Transset_def] "Transset(A) <-> A<=Pow(A)"; by (Blast_tac 1); @@ -18,6 +18,10 @@ by (blast_tac (claset() addSEs [equalityE]) 1); qed "Transset_iff_Union_succ"; +Goalw [Transset_def] "Transset(A) <-> Union(A) <= A"; +by (Blast_tac 1); +qed "Transset_iff_Union_subset"; + (** Consequences of downwards closure **) Goalw [Transset_def]