Theorems · Theorem · measure theory
MeasureTheory.Measure.toBoxAdditive_apply
∀ {ι : Type u_1} [inst : Finite ι] (μ : MeasureTheory.Measure (ι → ℝ)) [inst_1 : MeasureTheory.IsLocallyFiniteMeasure μ]
(J : BoxIntegral.Box ι), μ.toBoxAdditive J = μ.real ↑J- Cited by
- 5 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Top.topstatement · cited by 9,680
- WithTopstatement · cited by 3,754
- Finitestatement and proof · cited by 3,029
- MeasureTheory.Measure.realstatement · cited by 530
- BoxIntegral.Boxstatement and proof · cited by 464
- MeasureTheory.IsLocallyFiniteMeasurestatement and proof · cited by 171
- BoxIntegral.Box.toSetstatement · cited by 121
- BoxIntegral.BoxAdditiveMapstatement · cited by 92
- MeasureTheory.Measure.toBoxAdditivestatement and proof · cited by 22
Cited by5
Results whose statement or proof uses this declaration.
- BoxIntegral.Box.volume_applyproof · cited by 3
- BoxIntegral.integrable_of_bounded_and_ae_continuousWithinAtproof · cited by 2
- BoxIntegral.unitPartition.integralSum_eq_tsum_divproof · cited by 1
- BoxIntegral.norm_integral_le_of_norm_leproof · cited by 1
- BoxIntegral.norm_volume_sub_integral_face_upper_sub_lower_smul_leproof · cited by 1