Theorems · Theorem · general topology
Inseparable.of_nhds_neBot
∀ {X : Type u_1} [inst : TopologicalSpace X] [R1Space X] {x y : X}, (nhds x ⊓ nhds y).NeBot → Inseparable x y- Defined in
- Mathlib.Topology.Separation.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpaceR1Space
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- Disjointproof · cited by 2,201
- Filter.NeBotstatement and proof · cited by 853
- Inseparablestatement · cited by 160
- R1Spacestatement and proof · cited by 125
- Disjoint.eq_botproof · cited by 52
- Filter.NeBot.neproof · cited by 17
- r1Space_iff_inseparable_or_disjoint_nhdsproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_nhds_unique_inseparableproof · cited by 10