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.
- nhds_nhdsAdjoint_of_neproof · cited by 2