Mathlib Map

Theorems · Definition · general topology

OpenPartialHomeomorph.symm

{X : Type u_1} →
  {Y : Type u_3} →
    [inst : TopologicalSpace X] → [inst_1 : TopologicalSpace Y] → OpenPartialHomeomorph X Y → OpenPartialHomeomorph Y X

The inverse of an open partial homeomorphism

Defined in
Mathlib.Topology.OpenPartialHomeomorph.Defs
Cited by
460 results in Mathlib
Foundations
Depth 53 from the axioms, rests on 555 definitions · uses propext, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace

Around this declaration

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

OpenPartialHomeomorph.trans · cited by 98OpenPartialHomeomorph.tra…OpenPartialHomeomorph.left_inv · cited by 78OpenPartialHomeomorph.lef…UpperHalfPlane.ofComplex · cited by 59UpperHalfPlane.ofComplexOpenPartialHomeomorph.right_inv · cited by 38OpenPartialHomeomorph.rig…StructureGroupoid.maximalAtlas · cited by 28StructureGroupoid.maximal…MDifferentiableWithinAt.hasMFDerivWithinAt · cited by 26MDifferentiableWithinAt.h…ImplicitFunctionData.implicitFunction · cited by 26ImplicitFunctionData.impl…OpenPartialHomeomorph.MDifferentiable · cited by 19OpenPartialHomeomorph.MDi…ContMDiffWithinAt.comp · cited by 18ContMDiffWithinAt.compBundle.Trivialization.coordChange · cited by 15Trivialization.coordChangeMDifferentiableAt.hasMFDerivAt · cited by 15MDifferentiableAt.hasMFDe…mfderivWithin_univ · cited by 14mfderivWithin_univdifferentiableWithinAt_localInvariantProp · cited by 13differentiableWithinAt_lo…ChartedSpace.LiftPropWithinAt.prop · cited by 12LiftPropWithinAt.propHasStrictFDerivAt.localInverse · cited by 11HasStrictFDerivAt.localIn…TopologicalSpace · cited by 24529TopologicalSpaceOpenPartialHomeomorph.toPartialHomeomorph · cited by 851OpenPartialHomeomorph.toP…OpenPartialHomeomorph · cited by 664OpenPartialHomeomorphPartialHomeomorph · cited by 73PartialHomeomorphOpenPartialHomeomorph.open_source · cited by 65OpenPartialHomeomorph.ope…OpenPartialHomeomorph.open_target · cited by 38OpenPartialHomeomorph.ope…PartialHomeomorph.symm · cited by 38PartialHomeomorph.symmOpenPartialHomeomorph.symmCITED BYCITES

Cites7

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

Cited by492

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 492.