changeset 47988 | e4b69e10b990 |
parent 47740 | a8989fe9a3a5 |
child 48891 | c0eafbd55de3 |
--- a/src/HOL/Product_Type.thy Thu May 24 17:05:30 2012 +0200 +++ b/src/HOL/Product_Type.thy Thu May 24 17:25:53 2012 +0200 @@ -1028,7 +1028,10 @@ by blast lemma vimage_Times: "f -` (A \<times> B) = ((fst \<circ> f) -` A) \<inter> ((snd \<circ> f) -` B)" - by (auto, case_tac "f x", auto) + apply auto + apply (case_tac "f x") + apply auto + done lemma swap_inj_on: "inj_on (\<lambda>(i, j). (j, i)) A"