Theorems · Theorem · measure theory
BoxIntegral.BoxAdditiveMap.volume_apply
∀ {ι : Type u_1} [inst : Fintype ι] {E : Type u_2} [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace ℝ E]
(I : BoxIntegral.Box ι) (x : E), (BoxIntegral.BoxAdditiveMap.volume I) x = (∏ j, (I.upper j - I.lower j)) • x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 250 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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
- Realstatement and proof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Top.topstatement and proof · cited by 9,680
- Fintypestatement and proof · cited by 7,736
- ContinuousLinearMapstatement and proof · cited by 5,352
- WithTopstatement · cited by 3,754
- Finset.univstatement and proof · cited by 3,473
- Finset.prodstatement and proof · cited by 2,356
- MeasureTheory.MeasureSpace.volumeproof · cited by 1,323
Cited by1
Results whose statement or proof uses this declaration.
- BoxIntegral.hasIntegral_GP_pderivproof · cited by 1