Theorems · Theorem · measure theory
MeasureTheory.Measure.exists_null_set_measure_lt_of_disjoint
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ ν : MeasureTheory.Measure α},
Disjoint μ ν → ∀ {ε : NNReal}, 0 < ε → ∃ s, μ s = 0 ∧ ν sᶜ ≤ 2 * ↑ε- Cited by
- 1 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites47
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Set.ofPredproof · cited by 6,101
- NNRealstatement and proof · cited by 4,310
- Set.univproof · cited by 3,945
- LE.le.transproof · cited by 3,151
- Compl.complstatement and proof · cited by 2,925
- Set.iUnionproof · cited by 2,483
- zero_addproof · cited by 2,366
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.mutuallySingular_of_disjointproof · cited by 1