{Y X : Type} `{IsConnected O' Y, IsConnected O' X} (f : Y -> X) : IsConnMap O f. Proof. intros x; rapply (contr_equiv' _ (equiv_OO_functor_hfiber_to_O f x)^-1). Defined.
Require Import HoTT.Basics HoTT.Types. Require Import HFiber Extensions Limits.Pullback. Require Import Modality Accessible Modalities.Localization.