∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {Ω : TopologicalSpace.Opens E} {F : Type u_2}
  [inst_2 : NormedAddCommGroup F] [inst_3 : NormedSpace ℝ F] {n : ℕ∞} (x : TopologicalSpace (TestFunction Ω F n))
  (motive :
    x ∈
        {t |
          TestFunction.originalTop Ω F n ≤ t ∧
            IsTopologicalAddGroup (TestFunction Ω F n) ∧
              ContinuousSMul ℝ (TestFunction Ω F n) ∧ LocallyConvexSpace ℝ (TestFunction Ω F n)} →
      Prop)
  (x_1 :
    x ∈
      {t |
        TestFunction.originalTop Ω F n ≤ t ∧
          IsTopologicalAddGroup (TestFunction Ω F n) ∧
            ContinuousSMul ℝ (TestFunction Ω F n) ∧ LocallyConvexSpace ℝ (TestFunction Ω F n)}),
  (∀ (left : TestFunction.originalTop Ω F n ≤ x) (ht : IsTopologicalAddGroup (TestFunction Ω F n))
      (left_1 : ContinuousSMul ℝ (TestFunction Ω F n)) (right : LocallyConvexSpace ℝ (TestFunction Ω F n)), motive ⋯) →
    motive x_1