Theorems · Theorem · measure theory
Set.Countable.ae_notMem
∀ {α : Type u_1} {m0 : MeasurableSpace α} {s : Set α},
s.Countable → ∀ (μ : MeasureTheory.Measure α) [MeasureTheory.NullSingletonClass μ], ∀ᵐ (x : α) ∂μ, x ∉ s- Cited by
- 6 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- Set.ofPredproof · cited by 6,101
- Filter.Eventuallystatement · cited by 3,134
- MeasureTheory.aestatement · cited by 2,352
- Set.Countablestatement and proof · cited by 545
- MeasureTheory.NullSingletonClassstatement and proof · cited by 125
- Set.Countable.measure_zeroproof · cited by 9
Cited by6
Results whose statement or proof uses this declaration.
- circleIntegral.integral_sub_inv_smul_sub_smulproof · cited by 2
- MeasureTheory.Measure.ae_neproof · cited by 2
- StieltjesFunction.ae_hasDerivAtproof · cited by 1
- Monotone.ae_hasDerivAtproof · cited by 1
- Set.Countable.measure_restrict_complproof · cited by 1
- ae_of_mem_of_ae_of_mem_inter_Iooproof · cited by 1