instUniformSpace — Mathlib

English

For a function f: α → β, UniformContinuous[u1, sInf u2] f is equivalent to UniformContinuous for every u in u2.

Русский

Для f: α → β, UniformContinuous[u1, sInf u2] f эквивалентно UniformContinuous для каждого u из u2.

LaTeX

$$UniformContinuous[u1, sInf u2] f ↔ ∀ u ∈ u2, UniformContinuous[u1, u] f$$

Lean4

/-- Uniform space structure on `αᵒᵈ`. -/
instance instUniformSpace [UniformSpace α] : UniformSpace (αᵒᵈ) :=
  ‹UniformSpace α›

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