Theorems · Theorem · general topology

Filter.Tendsto.isBoundedUnder_ge_atTop

∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] [Nonempty α] {f : Filter β} {u : β → α},
  Filter.Tendsto u f Filter.atTop → Filter.IsBoundedUnder (fun x1 x2 => x2 ≤ x1) f u

Defined in

Mathlib.Order.Filter.IsBounded

Cited by

2 results in Mathlib

Foundations

Depth 55 from the axioms · uses propext, Quot.sound

Assumes

PreorderNonempty