∀ {ι : Type u_1} (n : ℕ) [inst : NeZero n] [inst_1 : Fintype ι] {B : BoxIntegral.Box ι},
  BoxIntegral.hasIntegralVertices B →
    ∀ {x : ι → ℝ}, x ∈ B → BoxIntegral.unitPartition.index n x ∈ BoxIntegral.unitPartition.admissibleIndex n B