Theorems · Theorem · measure theory
MeasureTheory.VectorMeasure.restrict_zero
∀ {α : Type u_1} {mα : MeasurableSpace α} {M : Type u_3} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M]
{i : Set α}, MeasureTheory.VectorMeasure.restrict 0 i = 0- Cited by
- 3 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 · cited by 451
- zero_applyproof · cited by 251
- MeasureTheory.VectorMeasure.restrictstatement · cited by 139
- MeasureTheory.VectorMeasure.extproof · cited by 65
- MeasureTheory.VectorMeasure.restrict_applyproof · cited by 26
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.restrict_le_zero_of_not_measurableproof · cited by 1
- MeasureTheory.VectorMeasure.zero_le_restrict_not_measurableproof · cited by 1
- MeasureTheory.VectorMeasure.restrictGmproof · cited by 1
- MeasureTheory.VectorMeasure.withDensity_zero_vectorMeasureproof · cited by 1