Theorems · Theorem · measure theory
MeasureTheory.ae_restrict_neBot
∀ {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α},
(MeasureTheory.ae (μ.restrict s)).NeBot ↔ μ s ≠ 0- Defined in
- Mathlib.MeasureTheory.Measure.Restrict
- Cited by
- 1 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- ENNRealstatement · cited by 9,879
- MeasureTheory.aestatement · cited by 2,352
- MeasureTheory.Measure.restrictstatement · cited by 1,646
- Filter.NeBotstatement · cited by 853
- Iff.notproof · cited by 489
- Filter.neBot_iffproof · cited by 27
- MeasureTheory.ae_restrict_eq_botproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.completeSpace_of_completeSpace_Lpproof · cited by 1