fact: Definition nat_functor : functor type_precat type_precat := polynomial_functor bool (bool_rect (λ _, UU) empty unit).
imports: UniMath.Foundations.Preamble UniMath.Foundations.PartA UniMath.Foundations.PartD UniMath.Foundations.UnivalenceAxiom UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Categories.Type.Core UniMath.Induction.FunctorAlgebras_legacy UniMath.Induction.PolynomialFunctors UniMath.Induction.W.Core UniMath.Induction.W.Fibered