`{Funext} (O : Modality) (X : Type) `{In O X} : IsOProjective O X <~> HasOChoice O X. Proof. refine (equiv_iff_hprop_uncurried (iff_isoprojective_hasochoice O X)). apply istrunc_forall. Defined.
Require Import Basics Types. Require Import Truncations.Core Truncations.SeparatedTrunc. Require Import Modalities.Modality Modalities.Identity. Require Import Limits.Pullback.