Theorems · Theorem · general topology

ge_of_tendsto_of_frequently

∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : Preorder α] [ClosedIciTopology α] {f : β → α}
  {a b : α} {x : Filter β}, Filter.Tendsto f x (nhds a) → (∃ᶠ (c : β) in x, b ≤ f c) → b ≤ a

Defined in

Mathlib.Topology.Order.OrderClosed

Cited by

0 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpacePreorderClosedIciTopology