Theorems · Theorem · general topology

Filter.tendsto_comp_val_Ioi_atTop

∀ {α : Type u_3} {β : Type u_4} [inst : Preorder α] [IsDirectedOrder α] [NoMaxOrder α] {a : α} {f : α → β}
  {l : Filter β}, Filter.Tendsto (fun x => f ↑x) Filter.atTop l ↔ Filter.Tendsto f Filter.atTop l

Defined in

Mathlib.Order.Filter.AtTopBot.Basic

Cited by

1 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderIsDirectedOrderNoMaxOrder