proposition: Proposition internal_from_to_arr {x y : V} (f : I_{V} --> x ⊸ y) : internal_from_arr (internal_to_arr f) = f.
proof: Proof. unfold internal_from_arr, internal_to_arr. rewrite !assoc. rewrite mon_lunitor_linvunitor. rewrite id_left. exact (!(internal_eta f)). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Structure.Symmetric