Definition strict_psfunctor_lassociator_law : UU := ∏ (a b c d : C) (f : C⟦a, b⟧) (g : C⟦b, c⟧) (h : C⟦c, d⟧), (#F f ◃ strict_psfunctor_comp_cell F g h) • strict_psfunctor_comp_cell F f (g · h) • ##F (lassociator f g h) = (lassociator (#F f) (#F g) (#F h)) • (strict_psfunctor_comp_cell F f g ▹ #F h) • strict_psfunctor_comp_cell F (f · g) h.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.PseudoFunctors.Display.Base. Require Import UniMath.Bicategories.PseudoFunctors.Display.Map1Cells. Require Import UniMath.Bicategories.PseudoFunctors.Display.Map2Cells. Require Import UniMath.Bicategories.PseudoFunctors.Display.StrictIdentitor. Require Import UniMath.Bicategories.PseudoFunctors.Display.StrictCompositor. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence. Require Import UniMath.Bicategories.DisplayedBicats.Examples.Prod. Require Import UniMath.Bicategories.DisplayedBicats.Examples.Sigma. Require Import UniMath.Bicategories.DisplayedBicats.Examples.FullSub.