fact: Definition pre_comp_after_lan_iso (P : [C, D]) : z_iso P (pre_comp_functor F (lan_functor HD F P)) := z_iso_from_nat_z_iso _ (make_nat_z_iso _ _ _ (pre_comp_is_z_iso _)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.LeftKanExtension UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.FullyFaithful UniMath.CategoryTheory.Adjunctions.Core