measure — Mathlib

English

The measure on G induced by μ via the outer measure and the Borel structure is μ.outerMeasure.toMeasure μ.borel_le_caratheodory.

Русский

Мера на G, получаемая из μ через внешнюю меру и борелеву структуру, равна μ.outerMeasure.toMeasure μ.borel_le_caratheodory.

LaTeX

$$$$\\mu.measure = μ.outerMeasure.toMeasure\, μ.borel\\_caratheodory.$$$$

Lean4

/-- The measure induced by the outer measure coming from a content, on the Borel sigma-algebra. -/
protected def measure : Measure G :=
  μ.outerMeasure.toMeasure μ.borel_le_caratheodory

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