Theorems · Theorem · general topology
CompletelyRegularSpace.exists_uniformSpace
∀ {X : Type u_1} [t : TopologicalSpace X] [CompletelyRegularSpace X], ∃ u, u.toTopologicalSpace = t- Cited by
- 1 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- TopologicalSpacestatement and proof · cited by 24,529
- UniformSpacestatement · cited by 2,040
- UniformSpace.comapproof · cited by 61
- Topology.IsInducing.eq_inducedproof · cited by 31
- CompletelyRegularSpacestatement and proof · cited by 23
- stoneCechUnitproof · cited by 15
- isInducing_stoneCechUnitproof · cited by 4
- uniformSpaceOfCompactR1proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- completelyRegularSpace_iff_exists_uniformSpaceproof · cited by 0