1.1 --- a/src/HOL/Set.ML Fri Nov 05 12:47:15 1999 +0100
1.2 +++ b/src/HOL/Set.ML Fri Nov 05 12:47:29 1999 +0100
1.3 @@ -727,7 +727,7 @@
1.4 Addsimps[subset_UNIV, subset_refl];
1.5
1.6
1.7 -(*** < ***)
1.8 +(*** The 'proper subset' relation (<) ***)
1.9
1.10 Goalw [psubset_def] "!!A::'a set. [| A <= B; A ~= B |] ==> A<B";
1.11 by (Blast_tac 1);
1.12 @@ -750,6 +750,10 @@
1.13 by (auto_tac (claset(), simpset() addsimps [psubset_eq]));
1.14 qed "subset_psubset_trans";
1.15
1.16 +Goalw [psubset_def] "A < B ==> EX b. b : (B - A)";
1.17 +by (Blast_tac 1);
1.18 +qed "psubset_imp_ex_mem";
1.19 +
1.20
1.21 (* attributes *)
1.22