proposition: Lemma associator_nat2 {C : category} (M : monoidal C) {x x' y y' z z' : C} (f : C⟦x,x'⟧) (g : C⟦y,y'⟧) (h : C⟦z,z'⟧) : (monoidal_associatordata M x y z) · (f ⊗^{M} (g ⊗^{M} h)) = ((f ⊗^{M} g) ⊗^{M} h) · (monoidal_associatordata M x' y' z').
proof: Proof. intros. unfold functoronmorphisms1. exact (associator_nat1 M f g h). 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