proposition: Proposition tensor_mor_left {V : monoidal_cat} (x : V) {y z : V} (f : y --> z) : x ⊗^{V}_{l} f = identity x #⊗ f.
proof: Proof. unfold monoidal_cat_tensor_mor. unfold functoronmorphisms1. refine (!_). etrans. { apply maponpaths_2. apply (bifunctor_rightid V). } apply id_left. 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