Mathlib Map

Theorems · Definition · general topology

Filter.Eventually

{α : Type u_1} → (α → Prop) → Filter α → Prop

f.Eventually p or ∀ᶠ x in f, p x mean that {x | p x} ∈ f. E.g., ∀ᶠ x in atTop, p x means that p holds true for sufficiently large x.

Defined in
Mathlib.Order.Filter.Defs
Cited by
3,134 results in Mathlib
Foundations
Depth 5 from the axioms, rests on 11 definitions · uses no axioms

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Cited by3,223

Results whose statement or proof uses this declaration.

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