(* 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";