proposition: Lemma exp_functor_is_functor : is_functor exp_functor_data.
proof: Proof. use make_dirprod. - intro; reflexivity. - intros ? ? ? ? ?; reflexivity. Defined.
imports: UniMath.Foundations.PartA UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.exponentials UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Categories.Type.Core UniMath.CategoryTheory.Categories.Type.Limits