`{Univalence} {A0 A1 A2 B : AbGroup} (f : A0 $-> A1) (g : A1 $-> A2) : abses_pushout_pmap (B:=B) (g $o f) ==* abses_pushout_pmap g o* abses_pushout_pmap f. Proof. refine (_ @* (to_pointed_compose _ _)^*). apply equiv_ptransformation_phomotopy. apply '. Defined.
Require Import Basics Types Truncations.Core. Require Import WildCat Pointed.Core Homotopy.ExactSequence HIT.epi. Require Import Modalities.ReflectiveSubuniverse. Require Import AbelianGroup AbPushout AbHom AbGroups.Biproduct. Require Import AbSES.Core AbSES.DirectSum.