Theorems · Inductive type · general topology
PartialEquiv
Type u_5 → Type u_6 → Type (max u_5 u_6)
Local equivalence between subsets source and target of α and β respectively. The
(global) maps toFun : α → β and invFun : β → α map source to target and conversely, and are
inverse to each other there. The values of toFun outside of source and of invFun outside of
target are irrelevant.
- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 335 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by470
Results whose statement or proof uses this declaration.
- PartialEquiv.sourcestatement and proof · cited by 964
- PartialHomeomorph.toPartialEquivstatement · cited by 917
- PartialEquiv.toFunstatement and proof · cited by 821
- PartialEquiv.targetstatement and proof · cited by 650
- PartialEquiv.symmstatement and proof · cited by 453
- ModelWithCorners.prodproof · cited by 414
- extChartAtstatement · cited by 307
- ModelWithCorners.symmstatement · cited by 146
- OpenPartialHomeomorph.extendstatement · cited by 133
- PartialEquiv.transstatement and proof · cited by 88
- Bundle.Pretrivialization.toPartialEquivstatement · cited by 77
- ModelWithCorners.toPartialEquivstatement · cited by 72
Showing the 200 most cited of 470.