uniformContinuous — Mathlib

English

For e, x and N, k ≤ N, the inequality edist(nearestPt(e,N)(x), x) ≤ edist(e(k), x) holds.

Русский

Для e, x и N, при k ≤ N верно неравенство edist(nearestPt(e,N)(x), x) ≤ edist(e(k), x).

LaTeX

$$$ \\forall k\\le N:\\ edist\\left(\\mathrm{nearestPt}(e,N)(x),x\\right) \\le edist\\left(e(k),x\\right)$$$

Lean4

protected theorem uniformContinuous : UniformContinuous ((↑) : Lp.simpleFunc E p μ → Lp E p μ) :=
  uniformContinuous_comap

Похожие утверждения