Definition bicate_lassociator_fun {a b c d : bicate_id_comp} (x : C ⟦ a, b ⟧ × C ⟦ b, c ⟧ × C ⟦ c, d ⟧) : pr1 x · (pr12 x · pr22 x) ==> pr1 x · pr12 x · pr22 x := lassociator (pr1 x) (pr12 x) (pr22 x).
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.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.HorizontalComposition. Require Import UniMath.Bicategories.WkCatEnrichment.prebicategory. Require Import UniMath.Bicategories.WkCatEnrichment.Notations. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations.