Theorems · Theorem · measure theory
BoxIntegral.Box.measure_coe_lt_top
∀ {ι : Type u_1} (I : BoxIntegral.Box ι) (μ : MeasureTheory.Measure (ι → ℝ)) [MeasureTheory.IsLocallyFiniteMeasure μ],
μ ↑I < ⊤- Cited by
- 4 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- LE.le.trans_ltproof · cited by 795
- BoxIntegral.Boxstatement and proof · cited by 464
- MeasureTheory.measure_monoproof · cited by 338
- MeasureTheory.IsLocallyFiniteMeasurestatement and proof · cited by 171
- BoxIntegral.Box.toSetstatement · cited by 121
- BoxIntegral.Box.coe_subset_Iccproof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.SimpleFunc.hasBoxIntegralproof · cited by 2
- BoxIntegral.Prepartition.measure_iUnion_toRealproof · cited by 2
- BoxIntegral.hasIntegralIndicatorConstproof · cited by 1
- BoxIntegral.HasIntegral.of_aeEq_zeroproof · cited by 1