{X Y} (f : X ->* Y) : IsComplex (pfib f) f. Proof. srapply Build_pHomotopy. - intros [x p]; exact p. - cbn. exact (concat_p1 _ @ concat_1p _)^. 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.