Theorems · Theorem · measure theory
MeasureTheory.NullMeasurableSet.mono
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ ν : MeasureTheory.Measure α} {s : Set α},
MeasureTheory.NullMeasurableSet s μ → ν ≤ μ → MeasureTheory.NullMeasurableSet s ν- Cited by
- 4 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- LE.le.absolutelyContinuousproof · cited by 20
- MeasureTheory.NullMeasurableSet.mono_acproof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.ae_nonneg_of_forall_setIntegral_nonnegproof · cited by 3
- MeasureTheory.IsAddFundamentalDomain.restrict_restrictproof · cited by 3
- MeasureTheory.IsFundamentalDomain.restrict_restrictproof · cited by 3
- MeasureTheory.Measure.countable_meas_pos_of_disjoint_iUnion₀proof · cited by 2