Theorems · Theorem · general topology
uniformity_eq_uniformity_interior
∀ {α : Type ua} [inst : UniformSpace α], uniformity α = (uniformity α).lift' interior- Defined in
- Mathlib.Topology.UniformSpace.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 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.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Filterstatement · cited by 8,121
- Set.ofPredproof · cited by 6,101
- IsOpenproof · cited by 2,400
- le_antisymmproof · cited by 2,068
- UniformSpacestatement and proof · cited by 2,040
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- uniformitystatement and proof · cited by 765
- Filter.principalproof · cited by 740
- interiorstatement and proof · cited by 714
- SetRelproof · cited by 581
Cited by1
Results whose statement or proof uses this declaration.
- interior_mem_uniformityproof · cited by 3