fact: Definition def_hom_quotient_algebra_mapout : ∀ (s : Sort σ), (A/Φ) s → B s := λ s, (equiv_quotient_ump (Φ s) (Build_HSet (B s)))^-1 (f s; R s).
imports: HoTT.Classes.interfaces.ua_congruence HSet Colimits.Quotient Classes.implementations.list Classes.interfaces.canonical_names Classes.theory.ua_homomorphism