Definition φ_map {B C:category} {F:[B, C]} {X' X: [B, [C^op, HSET]]} : F ⟹ X -> X --> X' -> F ⟹ X' := λ x p, φ_map_1 x p,, φ_map_2 x p.
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.