# HG changeset patch # User wenzelm # Date 1667505490 -3600 # Node ID f20865ad6319835e4b8ad4c780a5539cbdc19a76 # Parent 2b0ff7c52aa4c540f036e3c90ff45232484a68c0 tuned proofs; diff -r 2b0ff7c52aa4 -r f20865ad6319 src/ZF/WF.thy --- a/src/ZF/WF.thy Thu Nov 03 20:53:21 2022 +0100 +++ b/src/ZF/WF.thy Thu Nov 03 20:58:10 2022 +0100 @@ -361,12 +361,11 @@ wfrec[A](r,a,H) = H(a, \x\(r-``{a}) \ A. wfrec[A](r,x,H))" unfolding wf_on_def wfrec_on_def apply (erule wfrec [THEN trans]) -apply (simp add: vimage_Int_square cons_subset_iff) +apply (simp add: vimage_Int_square) done text\Minimal-element characterization of well-foundedness\ -lemma wf_eq_minimal: - "wf(r) \ (\Q x. x \ Q \ (\z\Q. \y. \y,z\:r \ y\Q))" -by (unfold wf_def, blast) +lemma wf_eq_minimal: "wf(r) \ (\Q x. x \ Q \ (\z\Q. \y. \y,z\:r \ y\Q))" + unfolding wf_def by blast end