{F X Y : pType} (i : F ->* X) (f : X ->* Y) (cx : IsComplex i f) : IsComplex (fmap loops i) (fmap loops f). Proof. refine ((fmap_comp loops i f)^$ $@ _ $@ fmap_zero_morphism _). rapply (fmap2 loops); assumption. 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.