Theorems · Theorem · measure theory
MeasureTheory.le_measureReal_sdiff
∀ {α : Type u_1} {x : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s₁ s₂ : Set α},
autoParam (μ s₂ ≠ ⊤) MeasureTheory.le_measureReal_sdiff._auto_1 → μ.real s₁ - μ.real s₂ ≤ μ.real (s₁ \ s₂)- Defined in
- Mathlib.MeasureTheory.Measure.Real
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 and proof · cited by 53,352
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- MeasureTheory.Measure.realstatement and proof · cited by 530
- Set.union_sdiff_selfproof · cited by 28
- MeasureTheory.measureReal_union_leproof · cited by 4
- MeasureTheory.measureReal_le_measureReal_union_rightproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.le_measureReal_diffproof · cited by 0