{A B} (f g : A $-> B) : functor_ab_coeq (f:=f) (g:=g) (Id _) (Id _) (hrefl _) (hrefl _) $== Id _. Proof. snrapply ab_coeq_ind_homotopy. reflexivity. Defined.
Require Import Basics Types. Require Import WildCat HSet Truncations.Core Modalities.ReflectiveSubuniverse. Require Import Groups.QuotientGroup AbelianGroup Biproduct.