inhabitedCountableFilterBasis — Mathlib

English

Under HasCountableSeparatingOn on β with univ, equality of functions is characterized by the Iff condition on membership for all U with p(U).

Русский

При HasCountableSeparatingOn β p univ равенство функций описывается через условие эквивалентности принадлежности для всех U с p(U).

LaTeX

$$$$f =^{\\infty}_{l} g \\\\iff \\forall U, p(U) \\to (f\\in U \\iff g\\in U).$$$$

Lean4

instance inhabitedCountableFilterBasis : Inhabited (CountableFilterBasis ℕ) :=
  ⟨⟨default, countable_range fun n => Ici n⟩⟩

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