fact: Definition equiv_path_extend_path_term_algebra {s : Sort σ} (S T : CarriersTermAlgebra C s) : ExtendPathTermAlgebra S T <~> (S = T) := equiv_iff_hprop (path_extend_path_term_algebra S T) reflexive_extend_path_term_algebra_path.
imports: HoTT.Algebra.Universal.Algebra HoTT.HSet HoTT.Classes.interfaces.canonical_names HoTT.Algebra.Universal.Homomorphism HoTT.Algebra.Universal.Congruence