Theorems · Theorem · general topology
PartialHomeomorph.invOn
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (e : PartialHomeomorph X Y),
Set.InvOn (↑e.symm) (↑e) e.source e.target- Defined in
- Mathlib.Topology.PartialHomeomorph.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- PartialEquiv.sourcestatement · cited by 964
- PartialHomeomorph.toPartialEquivstatement · cited by 917
- PartialEquiv.targetstatement · cited by 650
- PartialHomeomorphstatement and proof · cited by 73
- PartialHomeomorph.toFun'statement · cited by 57
- PartialHomeomorph.symmstatement · cited by 38
- Set.InvOnstatement · cited by 26
- PartialHomeomorph.leftInvOnproof · cited by 2
- PartialHomeomorph.rightInvOnproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- PartialHomeomorph.bijOnproof · cited by 1