Theorems · Theorem · measure theory
MeasureTheory.Measure.MutuallySingular.add_left
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ ν₁ ν₂ : MeasureTheory.Measure α},
ν₁.MutuallySingular μ → ν₂.MutuallySingular μ → (ν₁ + ν₂).MutuallySingular μ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- MeasureTheory.Measure.MutuallySingular.add_left_iffproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.singularPart_addproof · cited by 2
- MeasureTheory.SignedMeasure.mutuallySingular_singularPartproof · cited by 1