Definition comm_functor_data {I A B : category} : [I, [A, B] ] -> A -> functor_data I B := λ D a, functor_data_constr I B (λ i, D ◾ i ◾ a) (λ i j e, D ▭ e ◽ a).
Require Import UniMath.Foundations.Preamble. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.RepresentableFunctors.Precategories. Require Import UniMath.MoreFoundations.Tactics.