toComplL — Mathlib

English

The construction toComplL provides a canonical continuous linear map E → Completion(E).

Русский

Конструкция toComplL задаёт каноническое непрерывно-линейное отображение E → Completion(E).

LaTeX

$$toComplL : E \to L[𝕜](Completion E)$$

Lean4

/-- Embedding of a normed space to its completion as a continuous linear map. -/
def toComplL : E →L[𝕜] Completion E :=
  toComplₗᵢ.toContinuousLinearMap

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