fact: Definition lift_functor_along_id {C : category} (D : univalent_category) {F : functor C D} (F_eso : essentially_surjective F) (F_ff : fully_faithful F) : nat_z_iso (lift_functor_along D F F_eso F_ff (functor_identity C ∙ F)) (functor_identity D).
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