proposition: Lemma pre_prod_isaset: isaset pre_prod.
proof: Proof. change (isofhlevel 2 pre_prod). do 2 (apply impred; intro). apply setproperty. Defined.
imports: UniMath.Foundations.Init UniMath.Foundations.Preamble UniMath.Foundations.PartA UniMath.Foundations.Sets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.Structures