(* Title: HOLCF/ex/Fix2.ML
ID: $Id: Fix2.ML,v 1.7 2005/09/06 17:28:58 wenzelm Exp $
Author: Franz Regensburger
*)
Goal "fix = gix";
by (rtac ext_cfun 1);
by (rtac antisym_less 1);
by (rtac fix_least 1);
by (rtac gix1_def 1);
by (rtac gix2_def 1);
by (rtac (fix_eq RS sym) 1);
qed "lemma1";
Goal "gix$F=lub(range(%i. iterate i F UU))";
by (rtac (lemma1 RS subst) 1);
by (rtac fix_def2 1);
qed "lemma2";