restrict_apply — Mathlib

English

A variant of mk_le_mk with fiber-measurability conditions: mk f hf hg hf' hg' ≤ mk g hg hg' iff f ≤ g.

Русский

Вариант со свойствами измеримости волокон: mk f hf hg hf' ≤ mk g hg hg' эквивалентно f ≤ g.

LaTeX

$$$mk f hf hg hf' ≤ mk g hg hg' \\iff f ≤ g.$$$

Lean4

theorem restrict_apply (f : α →ₛ β) {s : Set α} (hs : MeasurableSet s) (a) : restrict f s a = indicator s f a := by
  simp only [f.coe_restrict hs]

Похожие утверждения