proposition: Proposition local_equivalence_inv_twocell_psfunctor {x y : B₁} {f g : x --> y} (τ : f ==> g) : local_equivalence_inv_twocell (##F τ) = (local_equivalence_unit_inv2cell f)^-1 • τ • local_equivalence_unit_inv2cell g.
proof: Proof. rewrite !vassocl. use vcomp_move_L_pM. { is_iso. } cbn. refine (!_). apply local_equivalence_unit_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