Theorems · Theorem · measure theory
MeasureTheory.measureReal_symmDiff_le
∀ {α : Type u_1} {x : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s t : Set α} (u : Set α),
autoParam (μ s ≠ ⊤) MeasureTheory.measureReal_symmDiff_le._auto_1 →
autoParam (μ t ≠ ⊤) MeasureTheory.measureReal_symmDiff_le._auto_3 →
μ.real (symmDiff s u) ≤ μ.real (symmDiff s t) + μ.real (symmDiff t u)- Defined in
- Mathlib.MeasureTheory.Measure.Real
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
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
- le_transproof · cited by 985
- ENNReal.toRealproof · cited by 859
- MeasureTheory.Measure.realstatement · cited by 530
- symmDiffstatement and proof · cited by 236
- add_nonnegproof · cited by 104
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