proposition: Lemma φ_adj_natural_postcomp (A : C) (B : D) (f : F A --> B) (Y : D) (k : B --> Y) : φ_adj (f · k) = φ_adj f · #G k.
proof: Proof. unfold φ_adj. rewrite <- assoc. apply maponpaths. apply (functor_comp G). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Epis UniMath.CategoryTheory.SplitMonicsAndEpis UniMath.CategoryTheory.Monics UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering