(α : Type u_1) →
  {β : Type u_2} →
    [inst : TopologicalSpace α] →
      [inst_1 : TopologicalSpace β] →
        {γ : Type u_3} →
          [inst_2 : Monoid β] →
            [inst_3 : ContinuousMul β] →
              [inst_4 : TopologicalSpace γ] →
                [inst_5 : Monoid γ] → [inst_6 : ContinuousMul γ] → (g : β →* γ) → Continuous ⇑g → C(α, β) →* C(α, γ)