Theorems · Theorem · general topology
nhds_sInf
∀ {α : Type u} {s : Set (TopologicalSpace α)} {a : α}, nhds a = ⨅ t ∈ s, nhds a- Defined in
- Mathlib.Topology.Order
- Cited by
- 3 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement · cited by 8,121
- nhdsstatement · cited by 5,554
- iInfstatement · cited by 1,690
- InfSet.sInfstatement · cited by 935
- GaloisConnection.u_sInfproof · cited by 11
- gc_nhdsproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- R1Space.sInfproof · cited by 1
- regularSpace_sInfproof · cited by 1
- LocallyConvexSpace.sInfproof · cited by 1