src/HOL/Product_Type.thy
changeset 47988 e4b69e10b990
parent 47740 a8989fe9a3a5
child 48891 c0eafbd55de3
     1.1 --- a/src/HOL/Product_Type.thy	Thu May 24 17:05:30 2012 +0200
     1.2 +++ b/src/HOL/Product_Type.thy	Thu May 24 17:25:53 2012 +0200
     1.3 @@ -1028,7 +1028,10 @@
     1.4  by blast
     1.5  
     1.6  lemma vimage_Times: "f -` (A \<times> B) = ((fst \<circ> f) -` A) \<inter> ((snd \<circ> f) -` B)"
     1.7 -  by (auto, case_tac "f x", auto)
     1.8 +  apply auto
     1.9 +  apply (case_tac "f x")
    1.10 +  apply auto
    1.11 +  done
    1.12  
    1.13  lemma swap_inj_on:
    1.14    "inj_on (\<lambda>(i, j). (j, i)) A"