Theorems · Definition · general topology
PartialEquiv.toFun
{α : Type u_5} → {β : Type u_6} → PartialEquiv α β → α → βThe global function which has a partial inverse. Its value outside of the source subset is
irrelevant.
- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 821 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialEquivstatement and proof · cited by 335
Cited by932
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.toFun'proof · cited by 745
- PartialEquiv.symmproof · cited by 453
- ModelWithCorners.prodproof · cited by 414
- ModelWithCorners.toFun'proof · cited by 373
- mfderivproof · cited by 159
- Bundle.Trivialization.toFun'proof · cited by 144
- mfderivWithinproof · cited by 126
- UniqueMDiffWithinAtproof · cited by 83
- Topology.RelCWComplex.openCellproof · cited by 75
- Topology.RelCWComplex.closedCellproof · cited by 70
- HasMFDerivWithinAtproof · cited by 65
- PartialHomeomorph.toFun'proof · cited by 57
Showing the 200 most cited of 932.