Theorems · Theorem · general topology

Filter.Tendsto.div

∀ {α : Type u_1} {G₀ : Type u_3} [inst : GroupWithZero G₀] [inst_1 : TopologicalSpace G₀] [ContinuousInv₀ G₀]
  [ContinuousMul G₀] {f g : α → G₀} {l : Filter α} {a b : G₀},
  Filter.Tendsto f l (nhds a) → Filter.Tendsto g l (nhds b) → b ≠ 0 → Filter.Tendsto (f / g) l (nhds (a / b))

Defined in

Mathlib.Topology.Algebra.GroupWithZero

Cited by

23 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupWithZeroTopologicalSpaceContinuousInv₀ContinuousMul