# HG changeset patch # User haftmann # Date 1331980518 -3600 # Node ID 144d94446378df605226d7291e9bd2e36ee24732 # Parent d54cea5b64e4e26eb339dfdf48d382206db9b39d spelt out missing colemmas diff -r d54cea5b64e4 -r 144d94446378 src/HOL/Relation.thy --- a/src/HOL/Relation.thy Sat Mar 17 08:00:18 2012 +0100 +++ b/src/HOL/Relation.thy Sat Mar 17 11:35:18 2012 +0100 @@ -276,13 +276,17 @@ "\x\S. sym (r x) \ sym (INTER S r)" by (fast intro: symI elim: symE) -(* FIXME thm sym_INTER [to_pred] *) +lemma symp_INF: + "\x\S. symp (r x) \ symp (INFI S r)" + by (fact sym_INTER [to_pred]) lemma sym_UNION: "\x\S. sym (r x) \ sym (UNION S r)" by (fast intro: symI elim: symE) -(* FIXME thm sym_UNION [to_pred] *) +lemma symp_SUP: + "\x\S. symp (r x) \ symp (SUPR S r)" + by (fact sym_UNION [to_pred]) subsubsection {* Antisymmetry *}