Theorems · Theorem · general topology
gc_nhds
∀ {α : Type u} (a : α), GaloisConnection (nhdsAdjoint a) fun t => nhds a- Defined in
- Mathlib.Topology.Order
- Cited by
- 8 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement and proof · cited by 8,121
- nhdsstatement · cited by 5,554
- IsOpenproof · cited by 2,400
- GaloisConnectionstatement · cited by 253
- nhdsAdjointstatement and proof · cited by 9
- le_nhds_iffproof · cited by 4
Cited by8
Results whose statement or proof uses this declaration.
- nhds_iInfproof · cited by 14
- nhds_monoproof · cited by 6
- nhds_sInfproof · cited by 3
- nhds_infproof · cited by 2
- nhds_topproof · cited by 2
- continuous_nhdsAdjoint_domproof · cited by 1
- nhds_nhdsAdjoint_sameproof · cited by 1
- coinduced_nhdsAdjointproof · cited by 0