Theorems · Definition · measure theory
MeasureTheory.VectorMeasure.restrict
{α : Type u_1} →
{mα : MeasurableSpace α} →
{M : Type u_3} →
[inst : AddCommMonoid M] →
[inst_1 : TopologicalSpace M] → MeasureTheory.VectorMeasure α M → Set α → MeasureTheory.VectorMeasure α MThe restriction of a vector measure on some set.
- Cited by
- 139 results in Mathlib
- Foundations
- Depth 67 from the axioms, rests on 1,302 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- AddCommMonoidstatement and proof · cited by 12,281
- MeasurableSetproof · cited by 3,075
- MeasureTheory.VectorMeasurestatement and proof · cited by 451
Cited by148
Results whose statement or proof uses this declaration.
- MeasureTheory.SignedMeasure.toJordanDecompositionproof · cited by 34
- MeasureTheory.VectorMeasure.restrict_applystatement · cited by 26
- MeasureTheory.VectorMeasure.IntegrableOnproof · cited by 19
- MeasureTheory.VectorMeasure.restrict_not_measurablestatement · cited by 14
- MeasureTheory.VectorMeasure.variation_restrictstatement and proof · cited by 14
- MeasureTheory.VectorMeasure.restrict_le_restrict_iffstatement and proof · cited by 12
- MeasureTheory.SignedMeasure.toMeasureOfZeroLEstatement and proof · cited by 11
- MeasureTheory.VectorMeasure.withDensityproof · cited by 11
- MeasureTheory.SignedMeasure.toMeasureOfLEZerostatement and proof · cited by 10
- MeasureTheory.SignedMeasure.toSignedMeasure_toJordanDecompositionproof · cited by 10
- MeasureTheory.VectorMeasure.nonneg_of_zero_le_restrictstatement and proof · cited by 9
- MeasureTheory.VectorMeasure.setIntegral_eq_zero_of_not_measurableSetstatement · cited by 9