--- a/src/HOL/Vimage.ML Thu Feb 26 15:45:33 1998 +0100
+++ b/src/HOL/Vimage.ML Fri Feb 27 11:06:28 1998 +0100
@@ -38,10 +38,16 @@
by (Blast_tac 1);
qed "vimage_empty";
+goal thy "f-``(Compl A) = Compl (f-``A)";
+by (Blast_tac 1);
+qed "vimage_Compl";
+
goal thy "f-``(A Un B) = (f-``A) Un (f-``B)";
by (Blast_tac 1);
qed "vimage_Un";
+Addsimps [vimage_empty, vimage_Compl, vimage_Un];
+
(*NOT suitable for rewriting because of the recurrence of {a}*)
goal thy "f-``(insert a B) = (f-``{a}) Un (f-``B)";
by (Blast_tac 1);
@@ -51,12 +57,9 @@
by (Blast_tac 1);
qed "vimage_Int_subset";
-Addsimps [vimage_empty, vimage_Un];
-
goal thy "f-``UNIV = UNIV";
by (Blast_tac 1);
qed "vimage_UNIV";
-
Addsimps [vimage_UNIV];
goal thy "(UN x:A. f -`` B x) = f -`` (UN x:A. B x)";
--- a/src/ZF/equalities.ML Thu Feb 26 15:45:33 1998 +0100
+++ b/src/ZF/equalities.ML Fri Feb 27 11:06:28 1998 +0100
@@ -476,6 +476,16 @@
by (Blast_tac 1);
qed "vimage_Int_subset";
+goalw thy [function_def]
+ "!!f. function(f) ==> f-``(A Int B) = (f-``A) Int (f-``B)";
+by (Blast_tac 1);
+qed "function_vimage_Int";
+
+goalw thy [function_def]
+ "!!f. function(f) ==> f-``(A-B) = (f-``A) - (f-``B)";
+by (Blast_tac 1);
+qed "function_vimage_Diff";
+
goal ZF.thy "(r Int A*A)-``B <= (r-``B) Int A";
by (Blast_tac 1);
qed "vimage_Int_square_subset";