proposition: Lemma homset_conj_after_conj_inv {c : C} {c' : C'} {g : C⟦c, G c'⟧} {d : D c} (d' : D' c') (alpha : d -->[g] GG _ d') : homset_conj _ _ _ (homset_conj_inv _ _ _ alpha) = alpha.
proof: Proof. apply homset_conj'_after_conj_inv. 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