proposition: Proposition runitor_profunctor_nat_trans_mor_comm {C₁ C₂ : category} (P : profunctor C₁ C₂) {x : C₁} {y y' : C₂} (g : y --> y') (h : P y' x) : runitor_profunctor_nat_trans_mor P y x (comp_profunctor_ob_in P (id_profunctor C₂) y' h g) = lmap P g h.
proof: Proof. unfold runitor_profunctor_nat_trans_mor. rewrite from_comp_profunctor_ob_comm. 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