Theorems · Theorem · general topology
nhds_top
∀ {α : Type u} {a : α}, nhds a = ⊤- Defined in
- Mathlib.Topology.Order
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- TopologicalSpacestatement · cited by 24,529
- Top.topstatement · cited by 9,680
- Filterstatement · cited by 8,121
- nhdsstatement · cited by 5,554
- GaloisConnection.u_topproof · cited by 31
- gc_nhdsproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- IndiscreteTopology.nhds_eqproof · cited by 2
- IndiscreteTopology.of_forall_inseparableproof · cited by 1