X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fdama%2Fdama%2Fordered_set.ma;h=c161fee4589d50ef1789a6968780fda804dfd2b9;hb=9eabe046c1182960de8cfdba96c5414224e3a61e;hp=b5b4d8e78beb6d10f471710baa79591d7532cffd;hpb=648db01678fac09ddfb3cce900bc72e8a1c420da;p=helm.git diff --git a/helm/software/matita/contribs/dama/dama/ordered_set.ma b/helm/software/matita/contribs/dama/dama/ordered_set.ma index b5b4d8e78..c161fee45 100644 --- a/helm/software/matita/contribs/dama/dama/ordered_set.ma +++ b/helm/software/matita/contribs/dama/dama/ordered_set.ma @@ -22,17 +22,14 @@ record ordered_set: Type ≝ { os_cotransitive: cotransitive ? os_excess }. -interpretation "Ordered set excess" 'nleq a b = - (cic:/matita/dama/ordered_set/os_excess.con _ a b). +interpretation "Ordered set excess" 'nleq a b = (os_excess _ a b). (* Definition 2.2 (3) *) definition le ≝ λE:ordered_set.λa,b:E. ¬ (a ≰ b). -interpretation "Ordered set greater or equal than" 'geq a b = - (cic:/matita/dama/ordered_set/le.con _ b a). +interpretation "Ordered set greater or equal than" 'geq a b = (le _ b a). -interpretation "Ordered set less or equal than" 'leq a b = - (cic:/matita/dama/ordered_set/le.con _ a b). +interpretation "Ordered set less or equal than" 'leq a b = (le _ a b). lemma le_reflexive: ∀E.reflexive ? (le E). unfold reflexive; intros 3 (E x H); apply (os_coreflexive ?? H); @@ -51,5 +48,3 @@ cases (os_cotransitive ??? a1 Eab) (H H); [cases (Laa1 H)] cases (os_cotransitive ??? b1 H) (H1 H1); [assumption] cases (Lb1b H1); qed. - - \ No newline at end of file