Theorems · Theorem · general topology
OpenPartialHomeomorph.eventually_right_inverse
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
(e : OpenPartialHomeomorph X Y) {x : Y}, x ∈ e.target → ∀ᶠ (y : Y) in nhds x, ↑e (↑e.symm y) = y- Cited by
- 9 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- nhdsstatement · cited by 5,554
- Filter.Eventuallystatement · cited by 3,134
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- OpenPartialHomeomorph.toFun'statement · cited by 745
- OpenPartialHomeomorphstatement and proof · cited by 664
- PartialEquiv.targetstatement and proof · cited by 650
- Filter.Eventually.monoproof · cited by 646
- OpenPartialHomeomorph.symmstatement · cited by 460
- OpenPartialHomeomorph.open_targetproof · cited by 38
Cited by9
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.hasStrictDerivAt_symmproof · cited by 6
- OpenPartialHomeomorph.eventually_right_inverse'proof · cited by 3
- StructureGroupoid.LocalInvariantProp.liftProp_idproof · cited by 3
- OpenPartialHomeomorph.isBigOWith_congrproof · cited by 3
- StructureGroupoid.LocalInvariantProp.liftPropAt_symm_of_mem_maximalAtlasproof · cited by 2
- OpenPartialHomeomorph.hasFDerivAt_symmproof · cited by 1
- OpenPartialHomeomorph.hasStrictFDerivAt_symmproof · cited by 1
- HasStrictFDerivAt.map_implicitFunctionOfComplemented_eqproof · cited by 1
- OpenPartialHomeomorph.hasDerivAt_symmproof · cited by 0