Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.dirac_apply_of_mem

∀ {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}, MeasurableSet s → x ∈ s → (MeasureTheory.VectorMeasure.dirac x v) s = v

Defined in

Mathlib.MeasureTheory.VectorMeasure.Basic

Cited by

6 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceMeasurableSpace