∀ {J : Type u_1} [inst : CategoryTheory.SmallCategory J] (F : CategoryTheory.Functor J MonCat)
  [inst_1 : CategoryTheory.IsFiltered J] ⦃X Y : J⦄ (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp (F.map f) (MonCat.FilteredColimits.coconeMorphism F Y) =
    CategoryTheory.CategoryStruct.comp (MonCat.FilteredColimits.coconeMorphism F X)
      (((CategoryTheory.Functor.const J).obj (MonCat.FilteredColimits.colimit F)).map f)