{A B C : Type} (f : A -> B) (g : B <~> C) `{IsConnMap O _ _ (g o f)} : IsConnMap O f := cancelL_isequiv_conn_map f g.
Require Import HoTT.Basics HoTT.Types. Require Import Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback. Require Import Homotopy.IdentitySystems. Require Import Colimits.Pushout.