Theorems · Theorem · measure theory
Set.Subsingleton.measure_zero
∀ {α : Type u_1} {m0 : MeasurableSpace α} {s : Set α},
s.Subsingleton → ∀ (μ : MeasureTheory.Measure α) [MeasureTheory.NullSingletonClass μ], μ s = 0- Cited by
- 3 results in Mathlib
- Foundations
- Depth 171 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.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
- Set.Subsingletonstatement and proof · cited by 276
- MeasureTheory.measure_emptyproof · cited by 169
- MeasureTheory.NullSingletonClassstatement and proof · cited by 125
- MeasureTheory.NullSingletonClass.measure_singletonproof · cited by 47
- Set.Subsingleton.induction_onproof · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- IsStrongFEPair.Λ_eqproof · cited by 6
- WeakFEPair.f_modif_aux2proof · cited by 1
- Metric.measure_closedBall_pos_iffproof · cited by 0