`{Univalence} {A A' B C C' D : AbGroup} {E : AbSES B A'} {F : AbSES D C'} (f : A' $-> A) (g : C' $-> C) : abses_pushout (functor_ab_biprod f g) (abses_direct_sum E F) = abses_direct_sum (abses_pushout f E) (abses_pushout g F) := abses_pushout_component3_id (abses_directsum_pushout_morphism f g) (fun _ => idpath).
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.