inv — Mathlib

English

If u and v are progressively measurable, then the quotient u i ω / v i ω is progressively measurable.

Русский

Если u и v прогрессивно измеримы, то их отношение по i и ω прогрессивно измеримо.

LaTeX

$$$\\mathrm{ProgMeasurable}(f,u) \\land \\mathrm{ProgMeasurable}(f,v) \\Rightarrow \\mathrm{ProgMeasurable}(f, (\\lambda i\\,\\omega. u i\\omega / v i\\omega))$$$

Lean4

@[to_additive]
protected theorem inv [Group β] [ContinuousInv β] (hu : ProgMeasurable f u) : ProgMeasurable f fun i ω => (u i ω)⁻¹ :=
  fun i => (hu i).inv

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