proposition: Proposition profunctor_nat_trans_rmap {C₁ C₂ : category} {P Q : profunctor C₁ C₂} (τ : profunctor_nat_trans P Q) {y : C₂} {x₁ x₂ : C₁} (f : x₁ --> x₂) (h : P y x₁) : τ y x₂ (rmap P f h) = rmap Q f (τ y x₁ h).
proof: Proof. rewrite rmap_functor. rewrite (profunctor_nat_trans_natural τ (identity _) f h). apply idpath. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Categories.HSET.All UniMath.CategoryTheory.Categories.HSET.SetCoends UniMath.CategoryTheory.Profunctors.Core UniMath.CategoryTheory.Profunctors.Examples