fact: Definition OO_ind_beta {O' O : Subuniverse} {A : Type} `{ReflectsD O' O A} (B : O_reflector O' A -> Type) {B_inO : forall oa, In O (B oa)} (f : forall a, B (to O' A a)) (a : A) : OO_ind O B f (to O' A a) = f a := (fst (extendable_to_OO B 1%nat) f).2 a.
imports: HoTT.Basics HoTT.Types HFiber Extensions Factorization Limits.Pullback ReflectiveSubuniverse