Theorems · Theorem · measure theory
MeasureTheory.measure_symmDiff_le
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} (s t u : Set α),
μ (symmDiff s u) ≤ μ (symmDiff s t) + μ (symmDiff t u)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 171 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 · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- le_transproof · cited by 985
- symmDiffstatement and proof · cited by 236
- MeasureTheory.Measure.toOuterMeasureproof · cited by 75
- MeasureTheory.measure_union_leproof · cited by 43
- MeasureTheory.OuterMeasure.monoproof · cited by 36
- symmDiff_triangleproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.tendsto_measure_symmDiff_preimage_nhds_zeroproof · cited by 2
- MeasureTheory.MeasurePreserving.measure_symmDiff_preimage_iterate_leproof · cited by 0