Theorems · Theorem · general topology
TopologicalSpace.NonemptyCompacts.isClosedEmbedding_toCloseds
∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : T2Space α] [CompleteSpace α],
Topology.IsClosedEmbedding TopologicalSpace.NonemptyCompacts.toCloseds- Defined in
- Mathlib.Topology.UniformSpace.Closeds
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 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.
- CompleteSpacestatement and proof · cited by 2,532
- UniformSpacestatement and proof · cited by 2,040
- T2Spacestatement and proof · cited by 1,351
- Topology.IsClosedEmbeddingstatement · cited by 195
- TopologicalSpace.Closedsstatement · cited by 168
- TopologicalSpace.NonemptyCompactsstatement · cited by 137
- TopologicalSpace.NonemptyCompacts.toClosedsstatement · cited by 15
- Topology.IsClosedEmbedding.compproof · cited by 14
- TopologicalSpace.NonemptyCompacts.isClosedEmbedding_toCompactsproof · cited by 5
- TopologicalSpace.Compacts.isClosedEmbedding_toClosedsproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- TopologicalSpace.NonemptyCompacts.isClosed_in_closedsproof · cited by 1