Theorems · Definition · general topology
PartialHomeomorph.symm
{X : Type u_1} →
{Y : Type u_3} →
[inst : TopologicalSpace X] → [inst_1 : TopologicalSpace Y] → PartialHomeomorph X Y → PartialHomeomorph Y XThe inverse of a partial homeomorphism
- Defined in
- Mathlib.Topology.PartialHomeomorph.Defs
- Cited by
- 38 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- PartialHomeomorph.toPartialEquivproof · cited by 917
- PartialEquiv.symmproof · cited by 453
- PartialEquivproof · cited by 335
- PartialHomeomorphstatement and proof · cited by 73
- PartialHomeomorph.continuousOn_toFunproof · cited by 10
- PartialHomeomorph.continuousOn_invFunproof · cited by 9
Cited by42
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.symmproof · cited by 460
- PartialHomeomorph.right_invstatement · cited by 2
- PartialHomeomorph.toHomeomorphOfSourceEqUnivTargetEqUnivproof · cited by 2
- PartialHomeomorph.extstatement and proof · cited by 2
- PartialHomeomorph.homeomorphOfImageSubsetSourceproof · cited by 2
- PartialHomeomorph.left_invstatement · cited by 2
- PartialHomeomorph.leftInvOnstatement · cited by 2
- PartialHomeomorph.mapsTo_symmstatement and proof · cited by 1
- PartialHomeomorph.rightInvOnstatement · cited by 1
- PartialHomeomorph.source_inter_preimage_inv_preimagestatement · cited by 1
- PartialHomeomorph.symm_symmstatement · cited by 1
- PartialHomeomorph.image_eq_target_inter_inv_preimagestatement · cited by 1