proposition: Lemma InitialType : Initial type_precat.
proof: Proof. apply (make_Initial (empty : ob type_precat)). exact iscontrfunfromempty. Defined.
imports: UniMath.Foundations.PartA UniMath.Foundations.PartD UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Categories.Type.Core