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Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.restrict_dirac_of_notMem

∀ {α : Type u_1} {mα : MeasurableSpace α} {M : Type u_3} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M]
  {s : Set α} {x : α} {m : M}, x ∉ s → (MeasureTheory.VectorMeasure.dirac x m).restrict s = 0
Defined in
Mathlib.MeasureTheory.VectorMeasure.Basic
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Foundations
Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidTopologicalSpace
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Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceAddCommMonoid · cited by 12281AddCommMonoidMeasurableSet · cited by 3075MeasurableSetMeasureTheory.VectorMeasure · cited by 451MeasureTheory.VectorMeasu…MeasureTheory.VectorMeasure.restrict · cited by 139VectorMeasure.restrictMeasureTheory.VectorMeasure.dirac · cited by 15VectorMeasure.diracMeasureTheory.VectorMeasure.restrict_dirac · cited by 4VectorMeasure.restrict_di…VectorMeasure.restrict_dirac_…CITED BYCITES

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