Theorems · Definition · general topology
Homeomorph.toPartialHomeomorph
{X : Type u_1} →
{Y : Type u_3} → [inst : TopologicalSpace X] → [inst_1 : TopologicalSpace Y] → X ≃ₜ Y → PartialHomeomorph X YA homeomorphism induces a partial homeomorphism on the whole space
- Defined in
- Mathlib.Topology.PartialHomeomorph.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 73 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
- Set.univproof · cited by 3,945
- Homeomorphstatement and proof · cited by 725
- PartialHomeomorphstatement · cited by 73
- Homeomorph.toPartialHomeomorphOfImageEqproof · cited by 7
Cited by5
Results whose statement or proof uses this declaration.
- PartialHomeomorph.reflproof · cited by 5
- Homeomorph.toPartialHomeomorph_applystatement and proof · cited by 0
- Homeomorph.toPartialHomeomorph_sourcestatement and proof · cited by 0
- Homeomorph.toPartialHomeomorph_symm_applystatement and proof · cited by 0
- Homeomorph.toPartialHomeomorph_targetstatement and proof · cited by 0