Theorems · Theorem · general topology

tendsto_nhds_unique_of_eventuallyEq

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [T2Space X] {f g : Y → X} {l : Filter Y} {a b : X}
  [l.NeBot], Filter.Tendsto f l (nhds a) → Filter.Tendsto g l (nhds b) → f =ᶠ[l] g → a = b

Defined in

Mathlib.Topology.Separation.Hausdorff

Cited by

13 results in Mathlib

Foundations

Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceT2SpaceFilter.NeBot