sigmaFinite_haarMeasure — Mathlib

English

If K0 = K0', then haarContent K0 = haarContent K0'.

Русский

Если K0 = K0', то haarContent K0 = haarContent K0'.

LaTeX

$$K0 = K0' ⇒ haarContent K0 = haarContent K0'$$

Lean4

/-- The Haar measure is sigma-finite in a second countable group. -/
@[to_additive /-- The additive Haar measure is sigma-finite in a second countable group. -/
    ]
instance sigmaFinite_haarMeasure [SecondCountableTopology G] {K₀ : PositiveCompacts G} : SigmaFinite (haarMeasure K₀) :=
  by haveI : LocallyCompactSpace G := K₀.locallyCompactSpace_of_group; infer_instance

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