proposition: Corollary φ_adj_inv_natural_prepostcomp (A X : C) (B Y : D) (g : A --> G B) (h : X --> A) (k : B --> Y) : φ_adj_inv (h · g · #G k) = #F h · φ_adj_inv g · k.
proof: Proof. etrans. apply φ_adj_inv_natural_postcomp. apply cancel_postcomposition. apply φ_adj_inv_natural_precomp. 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