Theorems · Theorem · general topology
eq_compactlyGenerated
∀ {X : Type w} [t : TopologicalSpace X] [UCompactlyGeneratedSpace X], t = TopologicalSpace.compactlyGenerated X- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- TopologicalSpacestatement and proof · cited by 24,529
- TopCat.carrierproof · cited by 3,184
- ContinuousMapproof · cited by 2,491
- le_antisymmproof · cited by 2,068
- CompHausLike.toTopproof · cited by 258
- CompHausproof · cited by 61
- ContinuousMap.continuous_toFunproof · cited by 47
- UCompactlyGeneratedSpacestatement and proof · cited by 12
- TopologicalSpace.compactlyGeneratedstatement · cited by 4
- UCompactlyGeneratedSpace.le_compactlyGeneratedproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- UCompactlyGeneratedSpace.isClosedproof · cited by 2
- UCompactlyGeneratedSpace.isOpenproof · cited by 1