Theorems · Theorem · measure theory
MeasureTheory.VectorMeasure.dirac_apply_of_notMem
∀ {β : Type u_2} {M : Type u_3} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M] [inst_2 : MeasurableSpace β]
{x : β} {v : M} {s : Set β}, x ∉ s → (MeasureTheory.VectorMeasure.dirac x v) s = 0- Cited by
- 4 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- MeasureTheory.VectorMeasure.diracstatement · cited by 15
Cited by4
Results whose statement or proof uses this declaration.
- BoundedVariationOn.vectorMeasure_Iocproof · cited by 3
- MeasureTheory.VectorMeasure.transpose_diracproof · cited by 2
- MeasureTheory.VectorMeasure.variation_diracproof · cited by 2
- MeasureTheory.VectorMeasure.restrict_singletonproof · cited by 2