proposition: Lemma fbracket_η (T : hss) : ∏ {Z : Ptd} (f : U Z --> `T), f = η T •• U Z · ⦃f⦄_{Z}.
proof: Proof. intros Z f. exact (pr1 (parts_from_whole _ _ _ _ _ (pr2 (pr1 (pr2 T Z f))))). Qed.
imports: UniMath.Foundations.PartD UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.FunctorAlgebras UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.PointedFunctors UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.HorizontalComposition UniMath.CategoryTheory.PointedFunctorsComposition UniMath.SubstitutionSystems.Signatures UniMath.SubstitutionSystems.Notation