Theorems · Theorem · field theory

Filter.Tendsto.div_atTop

∀ {𝕜 : Type u_1} {α : Type u_2} [inst : Field 𝕜] [inst_1 : LinearOrder 𝕜] [IsStrictOrderedRing 𝕜]
  [inst_3 : TopologicalSpace 𝕜] [OrderTopology 𝕜] {l : Filter α} {f g : α → 𝕜} {a : 𝕜},
  Filter.Tendsto f l (nhds a) → Filter.Tendsto g l Filter.atTop → Filter.Tendsto (fun x => f x / g x) l (nhds 0)

Defined in

Mathlib.Topology.Algebra.Order.Field

Cited by

12 results in Mathlib

Foundations

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

Assumes

FieldLinearOrderIsStrictOrderedRingTopologicalSpaceOrderTopology