Theorems · Theorem · measure theory
MeasureTheory.Measure.mono_null
∀ {α : Type u_1} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} ⦃s t : Set α⦄, s ⊆ t → μ t = 0 → μ s = 0- Cited by
- 2 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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.measure_mono_nullproof · cited by 81
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.setBernoulli_apply_eq_apply_subsetsproof · cited by 2
- ProbabilityTheory.setBernoulli_singleton_of_not_subsetproof · cited by 0