proposition: Lemma homset_conj'_inv_after_conj' {c : C} {c' : C'} (f : C'⟦F c, c'⟧)(d : D c) (d' : D' c') (beta : FF _ d -->[f] d') : homset_conj'_inv _ _ _ (homset_conj' _ _ _ beta) = beta.
proof: Proof. apply homset_conj_inv_after_conj'. Defined.
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Fibrations UniMath.CategoryTheory.DisplayedCats.Equivalences