Theorems · Definition · general topology
Homeomorph.toEquiv
{X : Type u_5} → {Y : Type u_6} → [inst : TopologicalSpace X] → [inst_1 : TopologicalSpace Y] → X ≃ₜ Y → X ≃ Y- Defined in
- Mathlib.Topology.Homeomorph.Defs
- Cited by
- 77 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Equivstatement · cited by 8,337
- Homeomorphstatement and proof · cited by 725
Cited by101
Results whose statement or proof uses this declaration.
- Homeomorph.symmproof · cited by 365
- LinearIsometryEquiv.toContinuousLinearEquivproof · cited by 125
- Homeomorph.transproof · cited by 49
- Homeomorph.toMeasurableEquivproof · cited by 32
- Homeomorph.surjectiveproof · cited by 23
- Homeomorph.apply_symm_applyproof · cited by 18
- Homeomorph.symm_apply_applyproof · cited by 18
- Homeomorph.injectiveproof · cited by 14
- Homeomorph.image_symmproof · cited by 13
- Homeomorph.preimage_symmproof · cited by 9
- NumberField.mixedEmbedding.fundamentalCone.expMapBasis_posproof · cited by 7
- Homeomorph.prodCongrproof · cited by 7