X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fformal_topology%2Foverlap%2Fbasic_pairs.ma;h=1ce789ed3b86e184ae9b050e7410dc1f354f8ab3;hb=f8830ea7f8b308241d73e558092089a24ab2f867;hp=c5546477b938831b5cd22363de05a5997b10686e;hpb=23043db144b24b8cd2072800b61137bb396f891e;p=helm.git diff --git a/helm/software/matita/contribs/formal_topology/overlap/basic_pairs.ma b/helm/software/matita/contribs/formal_topology/overlap/basic_pairs.ma index c5546477b..1ce789ed3 100644 --- a/helm/software/matita/contribs/formal_topology/overlap/basic_pairs.ma +++ b/helm/software/matita/contribs/formal_topology/overlap/basic_pairs.ma @@ -21,7 +21,7 @@ record basic_pair: Type1 ≝ rel: arrows1 ? concr form }. -interpretation "basic pair relation" 'Vdash2 x y c = (fun21 ___ (rel c) x y). +interpretation "basic pair relation" 'Vdash2 x y c = (fun21 ??? (rel c) x y). interpretation "basic pair relation (non applied)" 'Vdash c = (rel c). alias symbol "eq" = "setoid1 eq". @@ -33,8 +33,8 @@ record relation_pair (BP1,BP2: basic_pair): Type1 ≝ }. -interpretation "concrete relation" 'concr_rel r = (concr_rel __ r). -interpretation "formal relation" 'form_rel r = (form_rel __ r). +interpretation "concrete relation" 'concr_rel r = (concr_rel ?? r). +interpretation "formal relation" 'form_rel r = (form_rel ?? r). definition relation_pair_equality: ∀o1,o2. equivalence_relation1 (relation_pair o1 o2). @@ -215,7 +215,7 @@ definition fintersects: ∀o: BP. binary_morphism1 (form o) (form o) (Ω \sup (f | apply (. #‡((†e)‡(†e1))); assumption]] qed. -interpretation "fintersects" 'fintersects U V = (fun21 ___ (fintersects _) U V). +interpretation "fintersects" 'fintersects U V = (fun21 ??? (fintersects ?) U V). definition fintersectsS: ∀o:BP. binary_morphism1 (Ω \sup (form o)) (Ω \sup (form o)) (Ω \sup (form o)). @@ -227,15 +227,15 @@ definition fintersectsS: | apply (. #‡((†e)‡(†e1))); assumption]] qed. -interpretation "fintersectsS" 'fintersects U V = (fun21 ___ (fintersectsS _) U V). +interpretation "fintersectsS" 'fintersects U V = (fun21 ??? (fintersectsS ?) U V). definition relS: ∀o: BP. binary_morphism1 (concr o) (Ω \sup (form o)) CPROP. intros (o); constructor 1; - [ apply (λx:concr o.λS: Ω \sup (form o).∃y:form o.y ∈ S ∧ x ⊩_o y); + [ apply (λx:concr o.λS: Ω \sup (form o).∃y:form o.y ∈ S ∧ x ⊩⎽o y); | intros; split; intros; cases e2; exists [1,3: apply w] [ apply (. (#‡e1^-1)‡(e^-1‡#)); assumption | apply (. (#‡e1)‡(e‡#)); assumption]] qed. -interpretation "basic pair relation for subsets" 'Vdash2 x y c = (fun21 (concr _) __ (relS c) x y). -interpretation "basic pair relation for subsets (non applied)" 'Vdash c = (fun21 ___ (relS c)). +interpretation "basic pair relation for subsets" 'Vdash2 x y c = (fun21 (concr ?) ?? (relS c) x y). +interpretation "basic pair relation for subsets (non applied)" 'Vdash c = (fun21 ??? (relS c)).