finStronglyMeasurable_mk — Mathlib

English

If c is a unit, AEStronglyMeasurable (c • f) μ is equivalent to AEStronglyMeasurable f μ (repeat of unit-scalar invariance).

Русский

Единица единична; AEStronglyMeasurable(c f) ⇔ AEStronglyMeasurable f.

LaTeX

$$$\text{IsUnit}(c) \Rightarrow \bigl( \text{AEStronglyMeasurable}(c \cdot f, μ) \iff \text{AEStronglyMeasurable}(f, μ) \bigr).$$$

Lean4

theorem finStronglyMeasurable_mk (hf : AEFinStronglyMeasurable f μ) : FinStronglyMeasurable (hf.mk f) μ :=
  hf.choose_spec.1

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