proposition: Proposition tensor_mor_right {V : monoidal_cat} (x : V) {y z : V} (f : y --> z) : f ⊗^{V}_{r} x = f #⊗ identity x.
proof: Proof. unfold monoidal_cat_tensor_mor. unfold functoronmorphisms1. refine (!_). etrans. { apply maponpaths. apply (bifunctor_leftid V). } apply id_right. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.Notations UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.FullyFaithful UniMath.CategoryTheory.opp_precat