Definition θ_from_δ_mor (XZe : [C, C] ⊠ Ptd) : [C, C] ⟦ θ_source precompG XZe, θ_target precompG XZe ⟧. Proof. set (X := pr1 XZe); set (Z := pr1 (pr2 XZe)). set (F1 := rassociator_CAT G Z X). set (F2 := rwhisker_CAT X (δ G DL (pr2 XZe))). set (F3 := lassociator_CAT Z G X). exact (F3 · (F2 · F1)). Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Limits.BinCoproducts. Require Import UniMath.CategoryTheory.Limits.Terminal. Require Import UniMath.CategoryTheory.FunctorAlgebras. Require Import UniMath.CategoryTheory.PointedFunctors. Require Import UniMath.SubstitutionSystems.Signatures. Require Import UniMath.CategoryTheory.BicatOfCatsElementary. Require Import UniMath.SubstitutionSystems.Notation. Require Import UniMath.CategoryTheory.PointedFunctorsComposition.