diff -r 5a6f2aabd538 -r 6bcb44e4d6e5 src/ZF/domrange.ML --- a/src/ZF/domrange.ML Mon Jan 29 14:16:13 1996 +0100 +++ b/src/ZF/domrange.ML Tue Jan 30 13:42:57 1996 +0100 @@ -1,6 +1,6 @@ -(* Title: ZF/domrange +(* Title: ZF/domrange ID: $Id$ - Author: Lawrence C Paulson, Cambridge University Computer Laboratory + Author: Lawrence C Paulson, Cambridge University Computer Laboratory Copyright 1991 University of Cambridge Converse, domain, range of a relation or function @@ -31,7 +31,7 @@ (assume_tac 1) ]); val converse_cs = pair_cs addSIs [converseI] - addSEs [converseD,converseE]; + addSEs [converseD,converseE]; qed_goal "converse_converse" ZF.thy "!!A B r. r<=Sigma(A,B) ==> converse(converse(r)) = r" @@ -137,7 +137,7 @@ qed_goal "image_singleton_iff" ZF.thy "b : r``{a} <-> :r" (fn _ => [ rtac (image_iff RS iff_trans) 1, - fast_tac pair_cs 1 ]); + fast_tac pair_cs 1 ]); qed_goalw "imageI" ZF.thy [image_def] "!!a b r. [| : r; a:A |] ==> b : r``A" @@ -163,7 +163,7 @@ qed_goal "vimage_singleton_iff" ZF.thy "a : r-``{b} <-> :r" (fn _ => [ rtac (vimage_iff RS iff_trans) 1, - fast_tac pair_cs 1 ]); + fast_tac pair_cs 1 ]); qed_goalw "vimageI" ZF.thy [vimage_def] "!!A B r. [| : r; b:B |] ==> a : r-``B"