Definition rmap_comp {C₁ C₂ : category} (P : profunctor C₁ C₂) {x₁ x₂ x₃ : C₁} {y : C₂} (f₁ : x₁ --> x₂) (f₂ : x₂ --> x₃) (z : P y x₁) : rmap P (f₁ · f₂) z = rmap P f₂ (rmap P f₁ 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.