Theorems · Theorem · general topology
CauchyFilter.inseparable_iff
∀ {α : Type u} [inst : UniformSpace α] {f g : CauchyFilter α}, Inseparable f g ↔ ↑f ×ˢ ↑g ≤ uniformity α- Defined in
- Mathlib.Topology.UniformSpace.Completion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- UniformSpacestatement and proof · cited by 2,040
- SProd.sprodstatement · cited by 1,750
- uniformitystatement and proof · cited by 765
- Inseparablestatement · cited by 160
- Cauchystatement · cited by 115
- Filter.basis_setsproof · cited by 105
- CauchyFilterstatement and proof · cited by 19
- Filter.HasBasis.inseparable_iff_uniformityproof · cited by 5
- CauchyFilter.basis_uniformityproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CauchyFilter.inseparable_iff_of_le_nhdsproof · cited by 2