Theorems · Theorem · measure theory
MeasureTheory.Measure.MutuallySingular.mono
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ₁ μ₂ ν₁ ν₂ : MeasureTheory.Measure α},
μ₁.MutuallySingular ν₁ → μ₂ ≤ μ₁ → ν₂ ≤ ν₁ → μ₂.MutuallySingular ν₂- Cited by
- 3 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Measure.MutuallySingularstatement and proof · cited by 91
- LE.le.absolutelyContinuousproof · cited by 20
- MeasureTheory.Measure.MutuallySingular.mono_acproof · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.MutuallySingular.singularPartproof · cited by 2
- MeasureTheory.Measure.MutuallySingular.sum_leftproof · cited by 2
- MeasureTheory.SignedMeasure.singularPart_mutuallySingularproof · cited by 1