∀ (X : LightProfinite) (S : LightProfiniteᵒᵖ)
  (f :
    ((CategoryTheory.sheafToPresheaf (CategoryTheory.coherentTopology LightProfinite) (Type u_1)).obj
          (lightProfiniteToLightCondSet.obj X)).obj
      S),
  Continuous ⇑(CategoryTheory.ConcreteCategory.hom f.hom)