fact: Definition isconnected_from_elim {A : Type} : (forall (C : Type) `{In O C} (f : A -> C), NullHomotopy f) -> IsConnected O A.
imports: HoTT.Basics HoTT.Types Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback PathAny Colimits.Pushout