proposition: Lemma isaprop_Terminal : isaprop (Terminal C).
proof: Proof. apply invproofirrelevance. intros T T'. apply (total2_paths_f (isotoid _ H (z_iso_Terminals T T')) ). apply isaprop_isTerminal. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Limits.Products UniMath.CategoryTheory.Monics