Mathlib Map

Theorems · Theorem · general topology

isOpen_singleton_nhdsAdjoint

∀ {α : Type u_1} {a b : α} (f : Filter α), b ≠ a → IsOpen {b}
Defined in
Mathlib.Topology.Order
Cited by
1 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

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

Cites4

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

  • Setstatement · cited by 53,352
  • Filterstatement and proof · cited by 8,121
  • IsOpenstatement · cited by 2,400
  • nhdsAdjointstatement · cited by 9

Cited by1

Results whose statement or proof uses this declaration.