Definition const_prod_psfunctor_data : psfunctor_data B B. Proof. use make_psfunctor_data. - exact (λ y, y ⊗ x). - exact (λ y₁ y₂ f, f ⊗₁ id₁ x). - exact (λ y₁ y₂ f g α, α ⊗₂ id₂ _). - exact (λ y, (pair_1cell_id_id_invertible B _ _)^-1). - exact (λ y₁ y₂ y₃ f g, pair_1cell_comp_invertible B f g (id₁ x) (id₁ x) • (id₂ _ ⊗₂ lunitor _)). Defined.
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.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Univalence. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.Core.Unitors. Require Import UniMath.Bicategories.Limits.Products. Import Products.Notations. Require Import UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat. Require Import UniMath.Bicategories.PseudoFunctors.PseudoFunctor. Import PseudoFunctor.Notations.