Mathlib Map

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 X

The 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
Assumes
TopologicalSpaceTopologicalSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

OpenPartialHomeomorph.symm · cited by 460OpenPartialHomeomorph.symmPartialHomeomorph.right_inv · cited by 2PartialHomeomorph.right_i…PartialHomeomorph.toHomeomorphOfSourceEqUnivTargetEqUniv · cited by 2PartialHomeomorph.toHomeo…PartialHomeomorph.ext · cited by 2PartialHomeomorph.extPartialHomeomorph.homeomorphOfImageSubsetSource · cited by 2PartialHomeomorph.homeomo…PartialHomeomorph.left_inv · cited by 2PartialHomeomorph.left_invPartialHomeomorph.leftInvOn · cited by 2PartialHomeomorph.leftInv…PartialHomeomorph.mapsTo_symm · cited by 1PartialHomeomorph.mapsTo_…PartialHomeomorph.rightInvOn · cited by 1PartialHomeomorph.rightIn…PartialHomeomorph.source_inter_preimage_inv_preimage · cited by 1PartialHomeomorph.source_…PartialHomeomorph.symm_symm · cited by 1PartialHomeomorph.symm_sy…PartialHomeomorph.image_eq_target_inter_inv_preimage · cited by 1PartialHomeomorph.image_e…PartialHomeomorph.image_source_inter_eq · cited by 1PartialHomeomorph.image_s…PartialHomeomorph.invOn · cited by 1PartialHomeomorph.invOnOpenPartialHomeomorph.coe_toPartialHomeomorph_symm · cited by 0OpenPartialHomeomorph.coe…TopologicalSpace · cited by 24529TopologicalSpacePartialHomeomorph.toPartialEquiv · cited by 917PartialHomeomorph.toParti…PartialEquiv.symm · cited by 453PartialEquiv.symmPartialEquiv · cited by 335PartialEquivPartialHomeomorph · cited by 73PartialHomeomorphPartialHomeomorph.continuousOn_toFun · cited by 10PartialHomeomorph.continu…PartialHomeomorph.continuousOn_invFun · cited by 9PartialHomeomorph.continu…PartialHomeomorph.symmCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by42

Results whose statement or proof uses this declaration.