fact: 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.
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