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Theorems · Definition · order theory

Filter.liminf

{α : Type u_1} → {β : Type u_2} → [ConditionallyCompleteLattice α] → (β → α) → Filter β → α

The liminf of a function u along a filter f is the supremum of the a such that the inequality u x ≥ a eventually holds for f.

Defined in
Mathlib.Order.LiminfLimsup
Cited by
198 results in Mathlib
Foundations
Depth 10 from the axioms, rests on 64 definitions · uses no axioms
Assumes
ConditionallyCompleteLattice

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