Theorems · Theorem · measure theory

InnerProductSpace.euclideanHausdorffMeasure_eq_volume

∀ {V : Type u_3} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] [inst_2 : MeasurableSpace V]
  [inst_3 : BorelSpace V] [inst_4 : FiniteDimensional ℝ V],
  MeasureTheory.Measure.euclideanHausdorffMeasure (Module.finrank ℝ V) = MeasureTheory.volume

Defined in

Mathlib.Geometry.Euclidean.Volume.Measure

Cited by

2 results in Mathlib

Foundations

Depth 281 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceMeasurableSpaceBorelSpaceFiniteDimensional