Theorems · Theorem · measure theory
BoxIntegral.Box.volume_apply
∀ {ι : Type u_1} [inst : Fintype ι] (I : BoxIntegral.Box ι),
MeasureTheory.volume.toBoxAdditive I = ∏ i, (I.upper i - I.lower i)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 249 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Top.topstatement · cited by 9,680
- Fintypestatement and proof · cited by 7,736
- Set.univproof · cited by 3,945
- WithTopstatement · cited by 3,754
- Finset.univstatement and proof · cited by 3,473
- Finset.prodstatement and proof · cited by 2,356
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- Set.Iocproof · cited by 971
- MeasureTheory.Measure.realproof · cited by 530
Cited by3
Results whose statement or proof uses this declaration.
- BoxIntegral.BoxAdditiveMap.volume_applyproof · cited by 1
- BoxIntegral.hasIntegral_GP_pderivproof · cited by 1
- BoxIntegral.norm_volume_sub_integral_face_upper_sub_lower_smul_leproof · cited by 1