Definition rmap_lmap {C₁ C₂ : category} (P : profunctor C₁ C₂) {x₁ x₂ : C₁} {y₁ y₂ : C₂} (f : x₁ --> x₂) (g : y₂ --> y₁) (z : P y₁ x₁) : rmap P f (lmap P g z) = lmap P g (rmap P f z).
Require Import UniMath.Foundations.Preamble. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.Categories.HSET.All.