Theorems · Theorem · general topology
DiscreteUniformity.eq_principal_setRelId
∀ (X : Type u_1) [u : UniformSpace X] [DiscreteUniformity X], uniformity X = Filter.principal SetRel.id
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- uniformitystatement · cited by 765
- Filter.principalstatement · cited by 740
- SetRel.idstatement · cited by 33
- DiscreteUniformitystatement and proof · cited by 25
- discreteUniformity_iff_eq_principal_setRelIdproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- IsUniformEmbedding.discreteUniformityproof · cited by 3
- ArithmeticFunction.tendsTo_eulerProduct_of_tendsToproof · cited by 1
- DiscreteUniformity.eq_pure_of_cauchyproof · cited by 1