proposition: Proposition HSET_coend_comm {x y : C} (f : x --> y) (h : F y x) : HSET_coend_in y (rmap F f h) = HSET_coend_in x (lmap F f h).
proof: Proof. exact (eqtohomot (eq_of_cowedge _ HSET_coend_colimit f) h). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.OppositeCategory.Core UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.Univalence UniMath.CategoryTheory.Categories.HSET.Colimits UniMath.CategoryTheory.Profunctors.Core UniMath.CategoryTheory.Limits.Coends UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.Limits.Coequalizers