proposition: Lemma transportf_make_ob {A : PreShv (∫ X)} {I : C} {x y} (e : x = y) (u : pr1 (pr1 A (make_ob I x))) : transportf (λ x, pr1 (pr1 A (make_ob I x))) e u = transportf (λ x, pr1 (pr1 A x)) (maponpaths (make_ob I) e) u.
proof: Proof. now induction e. Qed.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Presheaf