equal
deleted
inserted
replaced
410 |
410 |
411 goal Set.thy "A Int Union(B) = (UN C:B. A Int C)"; |
411 goal Set.thy "A Int Union(B) = (UN C:B. A Int C)"; |
412 by (Blast_tac 1); |
412 by (Blast_tac 1); |
413 qed "Int_Union"; |
413 qed "Int_Union"; |
414 |
414 |
415 (* Devlin, Fundamentals of Contemporary Set Theory, page 12, exercise 5: |
415 (* Devlin, Setdamentals of Contemporary Set Theory, page 12, exercise 5: |
416 Union of a family of unions **) |
416 Union of a family of unions **) |
417 goal Set.thy "(UN x:C. A(x) Un B(x)) = Union(A``C) Un Union(B``C)"; |
417 goal Set.thy "(UN x:C. A(x) Un B(x)) = Union(A``C) Un Union(B``C)"; |
418 by (Blast_tac 1); |
418 by (Blast_tac 1); |
419 qed "Un_Union_image"; |
419 qed "Un_Union_image"; |
420 |
420 |