Theorems · Theorem · measure theory
MeasureTheory.measureReal_sdiff_null
∀ {α : Type u_1} {x : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s₁ s₂ : Set α},
μ.real s₂ = 0 → autoParam (μ s₂ ≠ ⊤) MeasureTheory.measureReal_sdiff_null._auto_1 → μ.real (s₁ \ s₂) = μ.real s₁- 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.
Cites15
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
- LT.lt.neproof · cited by 872
- ENNReal.toRealproof · cited by 859
- MeasureTheory.Measure.realstatement and proof · cited by 530
- Set.inter_subset_rightproof · cited by 329
- eq_top_or_lt_topproof · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.measureReal_diff_nullproof · cited by 0