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Theorems · Theorem · measure theory

MeasureTheory.Measure.ae_ne

∀ {α : Type u_1} {m0 : MeasurableSpace α} (μ : MeasureTheory.Measure α) [MeasureTheory.NullSingletonClass μ] (a : α),
  ∀ᵐ (x : α) ∂μ, x ≠ a
Defined in
Mathlib.MeasureTheory.Measure.Typeclasses.NullSingletonClass
Cited by
2 results in Mathlib
Foundations
Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.NullSingletonClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

intervalIntegral.integral_congr_uIoo · cited by 4intervalIntegral.integral…taylor_integral_remainder · cited by 0taylor_integral_remainderMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureFilter.Eventually · cited by 3134Filter.EventuallyMeasureTheory.ae · cited by 2352MeasureTheory.aeMeasureTheory.NullSingletonClass · cited by 125MeasureTheory.NullSinglet…Set.countable_singleton · cited by 13Set.countable_singletonSet.Countable.ae_notMem · cited by 6Countable.ae_notMemMeasure.ae_neCITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.