Theorems · Theorem · general topology
IsHomeomorph.isEmbedding
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
IsHomeomorph f → Topology.IsEmbedding f- Defined in
- Mathlib.Topology.Homeomorph.Lemmas
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Topology.IsEmbeddingstatement · cited by 294
- Homeomorph.isEmbeddingproof · cited by 73
- IsHomeomorphstatement and proof · cited by 69
- IsHomeomorph.homeomorphproof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- ContinuousLinearMap.IsFredholm.of_isInvertible_restrictproof · cited by 1
- isHomeomorph_iff_isEmbedding_surjectiveproof · cited by 1
- ContinuousLinearMap.isStrictMap_isClosed_range_iff_quotientproof · cited by 0