proposition: Proposition local_equivalence_unit_triangle_inv {x y : B₁} (f : x --> y) : (psfunctor_inv2cell F (local_equivalence_unit_inv2cell f))^-1 = (local_equivalence_counit_inv2cell (#F f)).
proof: Proof. refine (!_). refine (_ @ id2_right _). use vcomp_move_L_pM ; [ is_iso | ]. apply local_equivalence_triangle1. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.FullyFaithful UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Core.EquivToAdjequiv UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.PseudoFunctor UniMath.Bicategories.PseudoFunctors.Properties