Theorems · Theorem · general topology
Homeomorph.totallyDisconnectedSpace
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y)
[tdc : TotallyDisconnectedSpace X], TotallyDisconnectedSpace Y- Defined in
- Mathlib.Topology.Homeomorph.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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
- Homeomorphstatement and proof · cited by 725
- TotallyDisconnectedSpacestatement and proof · cited by 295
- Homeomorph.isEmbeddingproof · cited by 73
- Topology.IsEmbedding.isTotallyDisconnected_rangeproof · cited by 2
- totallyDisconnectedSpace_iffproof · cited by 2
- Homeomorph.range_coeproof · cited by 1
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