Theorems · Theorem · measure theory
MeasureTheory.VectorMeasure.restrict_singleton
∀ {α : Type u_1} {mα : MeasurableSpace α} {M : Type u_3} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M]
(v : MeasureTheory.VectorMeasure α M) {a : α}, v.restrict {a} = MeasureTheory.VectorMeasure.dirac a (v {a})- Cited by
- 2 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- 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
- MeasureTheory.VectorMeasure.restrictstatement · cited by 139
- MeasureTheory.VectorMeasure.extproof · cited by 65
- MeasureTheory.VectorMeasure.restrict_applyproof · cited by 26
- MeasureTheory.VectorMeasure.not_measurableproof · cited by 21
- MeasureTheory.VectorMeasure.emptyproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.integral_singletonproof · cited by 0
- MeasureTheory.VectorMeasure.integral_singleton'proof · cited by 0