{ι : Type u_1} →
  {I : BoxIntegral.Box ι} →
    {motive : BoxIntegral.TaggedPrepartition I → Sort u} →
      (t : BoxIntegral.TaggedPrepartition I) →
        ((toPrepartition : BoxIntegral.Prepartition I) →
            (tag : BoxIntegral.Box ι → ι → ℝ) →
              (tag_mem_Icc : ∀ (J : BoxIntegral.Box ι), tag J ∈ BoxIntegral.Box.Icc I) →
                motive { toPrepartition := toPrepartition, tag := tag, tag_mem_Icc := tag_mem_Icc }) →
          motive t