Theorems · Theorem · field theory

Filter.Tendsto.inv_tendsto_atTop

∀ {𝕜 : Type u_1} {α : Type u_2} [inst : Semifield 𝕜] [inst_1 : LinearOrder 𝕜] [IsStrictOrderedRing 𝕜]
  [inst_3 : TopologicalSpace 𝕜] [OrderTopology 𝕜] {l : Filter α} {f : α → 𝕜},
  Filter.Tendsto f l Filter.atTop → Filter.Tendsto f⁻¹ l (nhds 0)

Defined in

Mathlib.Topology.Algebra.Order.Field

Cited by

21 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemifieldLinearOrderIsStrictOrderedRingTopologicalSpaceOrderTopology