fact: 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.
imports: UniMath.Foundations.Preamble UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.RepresentableFunctors.Precategories UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.yoneda UniMath.CategoryTheory.Categories.HSET.Core