proposition: Proposition exp_beta_alt {x y z : C} (f : prodC z x --> y) : BinProductOfArrows _ _ _ (exp_lam_alt f) (identity x) · exp_eval_alt x y = f.
proof: Proof. unfold exp_eval_alt. rewrite !assoc. rewrite BinProductOfArrows_swap. unfold exp_lam_alt. rewrite !assoc'. rewrite exp_beta. rewrite !assoc. rewrite prod_swap_swap. apply id_left. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Limits.Preservation UniMath.CategoryTheory.catiso UniMath.CategoryTheory.CategoryEquality UniMath.CategoryTheory.Core.Univalence