{X : Type u_1} →
  {Y : Type u_2} →
    {Z : Type u_3} →
      [inst : TopologicalSpace X] →
        [inst_1 : TopologicalSpace Y] →
          [inst_2 : TopologicalSpace Z] →
            [LocallyCompactSpace X] → [LocallyCompactSpace Y] → C(X × Y, Z) ≃ₜ C(X, C(Y, Z))