Definition φ_map_1 {B C:category} {F:[B, C]} {X' X: [B, [C^op, HSET]]} : F ⟹ X -> X --> X' -> θ_1 F X' := λ x p b, p ◽ b ⟳ pr1 x b.
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.