Theorems · Theorem · general topology

Filter.Tendsto.enatSub

∀ {α : Type u_1} {l : Filter α} {f g : α → ℕ∞} {a b : ℕ∞},
  Filter.Tendsto f l (nhds a) →
    Filter.Tendsto g l (nhds b) → a ≠ ⊤ ∨ b ≠ ⊤ → Filter.Tendsto (fun x => f x - g x) l (nhds (a - b))

Defined in

Mathlib.Topology.Instances.ENat

Cited by

2 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound