*)
record COA: Type \def {
- coa: Class; (* carrier *)
+ coa:> Class; (* carrier *)
le: coa \to coa \to Prop; (* inclusion *)
ov: coa \to coa \to Prop; (* overlap *)
- sup: \forall (D:Domain). (D \to coa) \to coa; (* suprimum *)
+ sup: \forall (D:Domain). (D \to coa) \to coa; (* supremum *)
inf: \forall (D:Domain). (D \to coa) \to coa; (* infimum *)
le_refl: \forall p. le p p;
le_trans: \forall p,r. le p r \to \forall q. le r q \to le p q;
density: \forall p,q. (\forall r. ov p r \to ov q r) \to le p q
}.
-coercion coa.
-
definition zero: \forall (P:COA). P \def
\lambda (P:COA). inf P ? (dvoid_ixfam P).