Mathlib Map

Theorems · Theorem · general topology

Filter.Frequently.mem_closure

∀ {X : Type u} [inst : TopologicalSpace X] {x : X} {s : Set X}, (∃ᶠ (x : X) in nhds x, x ∈ s) → x ∈ closure s

Alias of the reverse direction of mem_closure_iff_frequently.

Defined in
Mathlib.Topology.Neighborhoods
Cited by
5 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.