fact: Definition lift_functor_along_comm (G : C₁ ⟶ D) : nat_z_iso (F ∙ lift_functor_along G) G := nat_z_iso_from_z_iso _ (nat_z_iso_pointwise_z_iso ε G).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.FullyFaithful UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.precomp_ess_surj UniMath.CategoryTheory.precomp_fully_faithful UniMath.CategoryTheory.PrecategoryBinProduct