CompleteCopy — Mathlib

English

The distance on CompleteCopy s dominates the base component distance: dist x.1 y.1 ≤ dist x y.

Русский

Расстояние CompleteCopy s доминирует над расстоянием базового компонента: dist x.1 y.1 ≤ dist x y.

LaTeX

$$$$\\\\dist x.1 y.1 \\\\leq \\\\dist x y.$$$$

Lean4

/-- A type synonym for a subset `s` of a metric space, on which we will construct another metric
for which it will be complete. -/
def CompleteCopy {α : Type*} [MetricSpace α] (s : Opens α) : Type _ :=
  s

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