{O' : Subuniverse} {O : ReflectiveSubuniverse} {A : Type} `{PreReflects O' A} (OO_ind' : forall (B : O_reflector O' A -> Type) (B_inO : forall oa, In O (B oa)) (f : forall a, B (to O' A a)) oa, B oa) (OO_ind_beta' : forall (B : O_reflector O' A -> Type) (B_inO : forall oa, In O (B oa)) (f : forall a, B (to O' A a)) a, OO_ind' B B_inO f (to O' A a) = f a) : ReflectsD O' O A := reflectsD_from_OO_ind OO_ind' OO_ind_beta' _.
Require Import HoTT.Basics HoTT.Types. Require Import HFiber Extensions Factorization Limits.Pullback.