(O : Modality@{u}) {F X Y : pType} `{Contr Y} (i : F ->* X) (f : X ->* Y) `{IsExact@{_ _ u u u} O _ _ _ i f} : IsConnMap O i := conn_map_compose@{u _ u _} O (cxfib@{u u _ _} cx_isexact) pr1.
Require Import Basics Types. Require Import SuccessorStructure. Require Import WildCat. Require Import Pointed. Require Import Modalities.Identity Modalities.Descent. Require Import Truncations. Require Import HFiber. Require Import ObjectClassifier.