Theorems · Theorem · general topology
Inseparable.nhds_le_uniformity
∀ {α : Type u} [inst : UniformSpace α] {x y : α}, Inseparable x y → nhds (x, y) ≤ uniformity α- Defined in
- Mathlib.Topology.UniformSpace.Separation
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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.
- Filterstatement and proof · cited by 8,121
- nhdsstatement · cited by 5,554
- UniformSpacestatement and proof · cited by 2,040
- uniformitystatement and proof · cited by 765
- Inseparablestatement and proof · cited by 160
- Inseparable.prodproof · cited by 9
- nhds_le_uniformityproof · cited by 5
- Inseparable.rflproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- inseparable_iff_clusterPt_uniformityproof · cited by 2
- Filter.Tendsto.inseparable_iff_uniformityproof · cited by 1