proposition: Proposition internal_to_from_arr {x y : V} (f : x --> y) : internal_to_arr (internal_from_arr f) = f.
proof: Proof. unfold internal_from_arr, internal_to_arr. rewrite !assoc'. rewrite internal_beta. rewrite !assoc. rewrite mon_linvunitor_lunitor. apply id_left. 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