diff -r a7322db15065 -r b8f2ec739530 src/ZF/equalities.ML --- a/src/ZF/equalities.ML Tue Apr 28 13:50:41 1998 +0200 +++ b/src/ZF/equalities.ML Tue Apr 28 13:51:39 1998 +0200 @@ -461,6 +461,20 @@ Addsimps [image_0, image_Un]; +(*Image laws for special relations*) +goal ZF.thy "0``A = 0"; +by (Blast_tac 1); +qed "image_0_left"; +Addsimps [image_0_left]; + +goal ZF.thy "(r Un s)``A = (r``A) Un (s``A)"; +by (Blast_tac 1); +qed "image_Un_left"; + +goal ZF.thy "(r Int s)``A <= (r``A) Int (s``A)"; +by (Blast_tac 1); +qed "image_Int_subset_left"; + (** Inverse Image **) @@ -497,6 +511,21 @@ Addsimps [vimage_0, vimage_Un]; +(*Invese image laws for special relations*) +goal ZF.thy "0-``A = 0"; +by (Blast_tac 1); +qed "vimage_0_left"; +Addsimps [vimage_0_left]; + +goal ZF.thy "(r Un s)-``A = (r-``A) Un (s-``A)"; +by (Blast_tac 1); +qed "vimage_Un_left"; + +goal ZF.thy "(r Int s)-``A <= (r-``A) Int (s-``A)"; +by (Blast_tac 1); +qed "vimage_Int_subset_left"; + + (** Converse **) goal ZF.thy "converse(A Un B) = converse(A) Un converse(B)";