fact: Definition ooextendable_const_isconnected_inO (A : Type@{i}) `{IsConnected@{i} O A} (C : Type@{j}) `{In O C} : ooExtendableAlong (const_tt A) (fun _ => C) := fun n => extendable_const_isconnected_inO n A C.
imports: HoTT.Basics HoTT.Types Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback PathAny Colimits.Pushout