Theorems · Theorem · measure theory
MeasureTheory.Measure.zero_le_toSignedMeasure
∀ {α : Type u_1} {m : MeasurableSpace α} (μ : MeasureTheory.Measure α) [inst : MeasureTheory.IsFiniteMeasure μ],
0 ≤ μ.toSignedMeasure- Cited by
- 1 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Set.univproof · cited by 3,945
- MeasurableSetproof · cited by 3,075
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- MeasureTheory.Measure.realproof · cited by 530
- zero_applyproof · cited by 251
- MeasureTheory.SignedMeasurestatement · cited by 108
- MeasureTheory.Measure.toSignedMeasurestatement and proof · cited by 36
- MeasureTheory.VectorMeasure.restrict_le_restrict_of_subset_leproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.toSignedMeasure_toMeasureOfZeroLEstatement and proof · cited by 0