n {F X X' Y : pType} (i : F ->* X) (f : X' ->* Y) (phi : X <~>* X') `{IsExact n _ _ _ (phi o* i) f} : IsExact n i (f o* phi). Proof. rapply (isexact_equiv_i _ _ _ pequiv_pmap_idmap phi); cbn. exact (pmap_precompose_idmap _)^*. Defined.
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.