Definition Gθ_mor (XZe : [C, D'] ⊠ Ptd) : [C, E] ⟦ θ_source GH XZe, θ_target GH XZe ⟧. Proof. set (X := pr1 XZe); set (Z := pr1 (pr2 XZe) : [C, C]). set (F1 := lassociator_CAT Z (H X) G). set (F2 := rwhisker_CAT G (θ XZe)). exact (F1 · F2). 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.