fact: Definition O_rec_beta (f : P -> Q) (x : P) : O_rec f (to O P x) = f x := (fst (extendable_to_O O 1%nat) f).2 x.
imports: HoTT.Basics HoTT.Types Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback PathAny Colimits.Pushout