fact: Definition path_ab_pushout `{Univalence} {A B C : AbGroup} (f : A $-> B) (g : A $-> C) (bc0 bc1 : ab_biprod B C) : @in_cosetL (ab_biprod B C) (ab_pushout_subgroup f g) bc0 bc1 <~> (grp_quotient_map bc0 = grp_quotient_map bc1 :> ab_pushout f g).
imports: Basics Types Truncations.Core Modalities.ReflectiveSubuniverse WildCat.Core HSet Algebra.Groups.Image Algebra.Groups.QuotientGroup AbGroups.AbelianGroup AbGroups.Biproduct