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".
}.
-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).
| 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)).
| 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)).