1.1 --- a/src/HOL/Set.ML Fri May 16 17:14:55 1997 +0200
1.2 +++ b/src/HOL/Set.ML Fri May 16 17:40:41 1997 +0200
1.3 @@ -666,3 +666,17 @@
1.4
1.5 simpset := !simpset addcongs [ball_cong,bex_cong]
1.6 setmksimps (mksimps mksimps_pairs);
1.7 +
1.8 +Addsimps[subset_UNIV, empty_subsetI, subset_refl];
1.9 +
1.10 +
1.11 +(*** < ***)
1.12 +
1.13 +goalw Set.thy [psubset_def] "!!A::'a set. [| A <= B; A ~= B |] ==> A<B";
1.14 +by (Blast_tac 1);
1.15 +qed "psubsetI";
1.16 +
1.17 +goalw Set.thy [psubset_def]
1.18 + "!!x. A < insert x B ==> (x ~: A) & A<=B | x:A & A-{x}<B";
1.19 +by (Auto_tac());
1.20 +qed "psubset_insertD";