X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Fdama%2Fbishop_set.ma;h=a532b22014f23f6b0282240759b1152634ea029c;hb=a88be1ca42c0969dbab9a5c76240f5931df876d9;hp=3fa4eda96910abbabd26842e13d948c23706d1e6;hpb=c5a4db6c1020488d0792cee00dcf395a0ce54735;p=helm.git diff --git a/helm/software/matita/library/dama/bishop_set.ma b/helm/software/matita/library/dama/bishop_set.ma index 3fa4eda96..a532b2201 100644 --- a/helm/software/matita/library/dama/bishop_set.ma +++ b/helm/software/matita/library/dama/bishop_set.ma @@ -23,7 +23,7 @@ record bishop_set: Type ≝ { bs_cotransitive: cotransitive ? bs_apart }. -interpretation "bishop set apartness" 'apart x y = (bs_apart _ x y). +interpretation "bishop set apartness" 'apart x y = (bs_apart ? x y). definition bishop_set_of_ordered_set: ordered_set → bishop_set. intros (E); apply (mk_bishop_set E (λa,b:E. a ≰ b ∨ b ≰ a)); @@ -38,7 +38,7 @@ qed. (* Definition 2.2 (2) *) definition eq ≝ λA:bishop_set.λa,b:A. ¬ (a # b). -interpretation "Bishop set alikeness" 'napart a b = (eq _ a b). +interpretation "Bishop set alikeness" 'napart a b = (eq ? a b). lemma eq_reflexive:∀E:bishop_set. reflexive ? (eq E). intros (E); unfold; intros (x); apply bs_coreflexive; @@ -69,7 +69,7 @@ qed. definition bs_subset ≝ λO:bishop_set.λP,Q:O→Prop.∀x:O.P x → Q x. -interpretation "bishop set subset" 'subseteq a b = (bs_subset _ a b). +interpretation "bishop set subset" 'subseteq a b = (bs_subset ? a b). definition square_bishop_set : bishop_set → bishop_set. intro S; apply (mk_bishop_set (S × S));