fact: Definition hom_first_isomorphism_inj : Homomorphism A (B && in_image_hom f) := hom_compose (hom_first_isomorphism f) (hom_quotient (cong_ker f)).
imports: HSet Colimits.Quotient Modalities.ReflectiveSubuniverse Classes.interfaces.canonical_names Classes.theory.ua_isomorphic Classes.theory.ua_subalgebra Classes.theory.ua_quotient_algebra