Filter.limsup

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

The limsup of a function u along a filter f is the infimum of the a such that the inequality u x ≤ a eventually holds for f.

Defined in: Mathlib.Order.LiminfLimsup
Cited by: 226 results in Mathlib
Foundations: Depth 10 from the axioms, rests on 67 definitions · uses no axioms
Assumes: ConditionallyCompleteLattice

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