uniformContinuous_ofLp — Mathlib

English

The canonical map from functions to their Lp-aggregate representation, ofLp, is uniformly continuous.

Русский

Каноническое отображение from функций в их Lp-обобщенное представление, ofLp, равномерно непрерывно.

LaTeX

$$UniformContinuous (WithLp.ofLp p (\forall i, β i))$$

Lean4

theorem uniformContinuous_ofLp [∀ i, UniformSpace (β i)] : UniformContinuous (@ofLp p (∀ i, β i)) :=
  uniformContinuous_id

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