Theorems · Theorem · general topology
TopologicalSpace.complete_completelyMetrizableMetric
∀ (X : Type u_3) [ht : TopologicalSpace X] [h : TopologicalSpace.IsCompletelyMetrizableSpace X], CompleteSpace X
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- CompleteSpacestatement and proof · cited by 2,532
- UniformSpaceproof · cited by 2,040
- MetricSpaceproof · cited by 1,684
- PseudoMetricSpaceproof · cited by 1,550
- TopologicalSpace.IsCompletelyMetrizableSpacestatement and proof · cited by 7
- TopologicalSpace.IsCompletelyMetrizableSpace.completeproof · cited by 1
- TopologicalSpace.completelyMetrizableMetricstatement and proof · cited by 1
- MetricSpace.replaceTopology_eqproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- TopologicalSpace.upgradeIsCompletelyMetrizableproof · cited by 7