fact: Definition continuous (f:Ord->Ord)(A B : Ensemble Ord) : Prop := fun_codomain A B f /\ Closed A /\ (forall U, Included U A -> Inhabited U -> Countable U -> |_| (image U f) = f (|_| U)).
imports: Coq(Relations Classical Classical_sets) ZornsLemma(CountableTypes) hydras(Well_Orders Lub Countable)