∀ {α : Type u_2} [inst : TopologicalSpace α] (F : Ctop.Realizer α) (a : α) (x x_1 : { s // a ∈ F.F.f s }),
  ∀
    _z ∈
      F.F.f
        ↑(match x with
          | ⟨x, h₁⟩ =>
            match x_1 with
            | ⟨y, h₂⟩ => ⟨F.F.inter x y a ⋯, ⋯⟩),
    _z ∈ F.F.f ↑x_1