{ι : Type u_1} →
  {I : BoxIntegral.Box ι} →
    BoxIntegral.Prepartition I →
      (tag : BoxIntegral.Box ι → ι → ℝ) →
        (∀ (J : BoxIntegral.Box ι), tag J ∈ BoxIntegral.Box.Icc I) → BoxIntegral.TaggedPrepartition I