∀ (x : ℕ → Bool),
  0 ≤ (Real.ofDigits ∘ ⇑(Homeomorph.piCongrRight fun x => finTwoEquiv.toHomeomorphOfDiscrete.symm)) x ∧
    (Real.ofDigits ∘ ⇑(Homeomorph.piCongrRight fun x => finTwoEquiv.toHomeomorphOfDiscrete.symm)) x ≤ 1