--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOLCF/ex/Fix2.ML Fri Oct 06 17:25:24 1995 +0100
@@ -0,0 +1,28 @@
+(* Title: HOLCF/ex/Fix2.ML
+ ID: $Id$
+ Author: Franz Regensburger
+ Copyright 1995 Technische Universitaet Muenchen
+*)
+
+open Fix2;
+
+val lemma1 = prove_goal Fix2.thy "fix = gix"
+ (fn prems =>
+ [
+ (rtac ext_cfun 1),
+ (rtac antisym_less 1),
+ (rtac fix_least 1),
+ (rtac gix1_def 1),
+ (rtac gix2_def 1),
+ (rtac (fix_eq RS sym) 1)
+ ]);
+
+
+val lemma2 = prove_goal Fix2.thy "gix`F=lub(range(%i. iterate i F UU))"
+ (fn prems =>
+ [
+ (rtac (lemma1 RS subst) 1),
+ (rtac fix_def2 1)
+ ]);
+
+