Theorems · Theorem · general topology
PartialHomeomorph.leftInvOn
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (e : PartialHomeomorph X Y),
Set.LeftInvOn (↑e.symm) (↑e) e.source- Defined in
- Mathlib.Topology.PartialHomeomorph.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- PartialHomeomorphstatement and proof · cited by 73
- PartialHomeomorph.toFun'statement · cited by 57
- Set.LeftInvOnstatement · cited by 42
- PartialHomeomorph.symmstatement · cited by 38
- PartialHomeomorph.left_invproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- PartialHomeomorph.invOnproof · cited by 1
- PartialHomeomorph.injOnproof · cited by 1