proposition: Proposition mon_lassociator_pr2 (x y z : M) : mon_lassociator x y z · semi_cart_tensor_pr2 M_cart x (y ⊗ z) = semi_cart_tensor_pr2 M_cart x y #⊗ identity _.
proof: Proof. unfold semi_cart_tensor_pr2. rewrite <- tensor_id_id. rewrite !assoc. rewrite <- tensor_lassociator. rewrite !assoc'. rewrite mon_lunitor_triangle. rewrite !tensor_comp_id_r. 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.Adjunctions.Core UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Structure.Symmetric UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Limits.BinCoproducts