Theorems · Theorem · measure theory
MeasureTheory.Measure.mutuallySingular_tfae
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ ν : MeasureTheory.Measure α},
[μ.MutuallySingular ν, Disjoint μ ν, Disjoint (MeasureTheory.ae μ) (MeasureTheory.ae ν)].TFAE- Cited by
- 2 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Filterstatement · cited by 8,121
- MeasureTheory.aestatement and proof · cited by 2,352
- Disjointstatement and proof · cited by 2,201
- List.TFAEstatement · cited by 102
- MeasureTheory.Measure.MutuallySingularstatement and proof · cited by 91
- List.tfae_of_cycleproof · cited by 83
- MeasureTheory.Measure.MutuallySingular.disjointproof · cited by 1
- MeasureTheory.Measure.MutuallySingular.disjoint_aeproof · cited by 1
- MeasureTheory.Measure.disjoint_of_disjoint_aeproof · cited by 1
- MeasureTheory.Measure.mutuallySingular_of_disjointproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.mutuallySingular_iff_disjointproof · cited by 0
- MeasureTheory.Measure.mutuallySingular_iff_disjoint_aeproof · cited by 0