sigmaFiniteSetWRT' — Mathlib

English

Definition: the set sigmaFiniteSetWRT'(μ, ν) is the union over all n of μ.sigmaFiniteSetGE(ν, n).

Русский

Определение: sigmaFiniteSetWRT'(μ, ν) равняется объединению по всем n множества μ.sigmaFiniteSetGE(ν, n).

LaTeX

$$$$\sigmaFiniteSetWRT'(\mu,\nu) := \bigcup_{n\in\mathbb{N}} \mu\sigmaFiniteSetGE(\nu, n).$$$$

Lean4

/-- A measurable set such that `μ.restrict (μ.sigmaFiniteSetWRT' ν)` is sigma-finite and
`ν (μ.sigmaFiniteSetWRT' ν)` has maximal measure among such sets. -/
def sigmaFiniteSetWRT' (μ ν : Measure α) [IsFiniteMeasure ν] : Set α :=
  ⋃ n, μ.sigmaFiniteSetGE ν n

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