proposition: Proposition psfunctor_local_equivalence_inv_twocell {x y : B₁} {f g : F x --> F y} (τ : f ==> g) : ##F (local_equivalence_inv_twocell τ) = local_equivalence_counit_inv2cell f • τ • (local_equivalence_counit_inv2cell g)^-1.
proof: Proof. use vcomp_move_L_Mp. { is_iso. } cbn. apply local_equivalence_counit_natural. 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