proposition: Proposition internal_precomp_id (x y : V) : internal_precomp (identity x) y = identity _.
proof: Proof. use internal_funext. intros a h. rewrite tensor_split. rewrite assoc'. unfold internal_precomp. rewrite internal_beta. rewrite tensor_id_id. rewrite id_left. apply idpath. 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