ennrealToMeasure — Mathlib

English

For finite measures μ, ν, μ.toSignedMeasure = ν.toSignedMeasure if and only if μ = ν.

Русский

Для конечных мер μ и ν: μ.toSignedMeasure = ν.toSignedMeasure эквивалентно μ = ν.

LaTeX

$$$ μ.toSignedMeasure = ν.toSignedMeasure \iff μ = ν $$$

Lean4

/-- A vector measure over `ℝ≥0∞` is a measure. -/
def ennrealToMeasure {_ : MeasurableSpace α} (v : VectorMeasure α ℝ≥0∞) : Measure α :=
  ofMeasurable (fun s _ => v s) v.empty fun _ hf₁ hf₂ => v.of_disjoint_iUnion hf₁ hf₂

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