∀ {F : CategoryTheory.Functor ℕᵒᵖ FintypeCat} (c : CategoryTheory.Limits.Cone (F.comp FintypeCat.toLightProfinite))
  {X Y : ℕ} (f : X ⟶ Y),
  (LightProfinite.Extend.functorOp c).map f = CategoryTheory.CostructuredArrow.homMk (F.map f.op).op ⋯