Definition comp_fmonoidal_data {C D E : category} {M : monoidal C} {N : monoidal D} {O : monoidal E} {F : C ⟶ D} {G : D ⟶ E} (Fm : fmonoidal_lax M N F) (Gm : fmonoidal_lax N O G) : fmonoidal_data M O (F ∙ G). Proof. split. - intros x y. exact (fmonoidal_preservestensordata Gm (F x) (F y) · #G (fmonoidal_preservestensordata Fm x y)). - exact (fmonoidal_preservesunit Gm · #G (fmonoidal_preservesunit Fm)). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Structure.Symmetric. Import BifunctorNotations. Import MonoidalNotations.