stronglyMeasurable — Mathlib

English

The stronglyMeasurable property passes to the AEEqFun class via cast; if f is AEEqFun, then its cast is strongly measurable.

Русский

Свойство stronglyMeasurable переносится на AEEqFun через приведение; если f ∈ AEEqFun, то его приводимый представитель сильно измерим.

LaTeX

$$protected theorem stronglyMeasurable (f : α →ₘ[μ] β) : StronglyMeasurable f$$

Lean4

@[fun_prop]
protected theorem stronglyMeasurable (f : α →ₘ[μ] β) : StronglyMeasurable f :=
  by
  simp only [cast]
  split_ifs with h
  · exact stronglyMeasurable_const
  · apply AEStronglyMeasurable.stronglyMeasurable_mk

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