isCobounded_ge_nhds — Mathlib

English

The neighborhood 𝓝(a) is cobounded above with respect to ≥; equivalently, the dual of bounded below in ≤.

Русский

Окрестности 𝓝(a) к верхней границе по отношению ≥ авангардированы; эквивалентно обратному свойству по ≤.

LaTeX

$$$$ (\mathcal{N}(a)).IsCobounded(\cdot \ge \cdot). $$$$

Lean4

theorem isCobounded_ge_nhds (a : α) : (𝓝 a).IsCobounded (· ≥ ·) :=
  (isBounded_le_nhds a).isCobounded_flip

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