universallyClosed_eq — Mathlib

English

Same equivalence: UniversallyClosed equals the universal construction via topological IsClosedMap.

Русский

Та же эквивалентность: UniversallyClosed равняется универсальной конструкции через topological IsClosedMap.

LaTeX

$$$\\mathrm{UniversallyClosed} = \\mathrm{universally}(\\mathrm{topologically} \\ \\mathrm{IsClosedMap})$$$

Lean4

theorem universallyClosed_eq : @UniversallyClosed = universally (topologically @IsClosedMap) := by ext X Y f;
  rw [universallyClosed_iff]

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