instIsLocallyFiniteMeasureMeasure

English

For any nonzero scalar r and sets s,t, the measure of {x} + r·s divided by that of {y} + r·t equals μ(s)/μ(t).

Русский

Для любого ненулевого множителя r и множеств s,t верно: μ({x} + r·s) / μ({y} + r·t) = μ(s) / μ(t).

LaTeX

$$$\frac{\mu({x} + r\cdot s)}{\mu({y} + r\cdot t)} = \frac{\mu(s)}{\mu(t)}$$$

Lean4

instance (ω : G [⋀^Fin n]→ₗ[ℝ] ℝ) : IsLocallyFiniteMeasure ω.measure := by rw [AlternatingMap.measure]; infer_instance

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