Theorems · Theorem · real analysis
BoxIntegral.unitPartition.volume_box
∀ {ι : Type u_1} (n : ℕ) [inst : NeZero n] [inst_1 : Fintype ι] (ν : ι → ℤ),
MeasureTheory.volume ↑(BoxIntegral.unitPartition.box n ν) = 1 / ↑n ^ Fintype.card ι- Cited by
- 2 results in Mathlib
- Foundations
- Depth 246 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- Fintypestatement and proof · cited by 7,736
- Finset.univproof · cited by 3,473
- Finset.cardproof · cited by 2,327
- Fintype.cardstatement and proof · cited by 1,386
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- Set.Iocproof · cited by 971
- ENNReal.ofRealproof · cited by 863
Cited by2
Results whose statement or proof uses this declaration.
- BoxIntegral.unitPartition.integralSum_eq_tsum_divproof · cited by 1
- BoxIntegral.unitPartition.setFinite_indexproof · cited by 0