Theorems · Theorem · general topology
OpenPartialHomeomorph.right_inv
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
(e : OpenPartialHomeomorph X Y) {x : Y}, x ∈ e.target → ↑e (↑e.symm x) = x- Cited by
- 38 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.
Cites9
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
- 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
- OpenPartialHomeomorph.symmstatement · cited by 460
- PartialEquiv.right_inv'proof · cited by 6
Cited by38
Results whose statement or proof uses this declaration.
- ContMDiff.inlproof · cited by 3
- ContMDiff.inrproof · cited by 3
- hasMFDerivAt_idproof · cited by 3
- OpenPartialHomeomorph.rightInvOnproof · cited by 2
- Topology.IsOpenEmbedding.toOpenPartialHomeomorph_right_invproof · cited by 2
- Bundle.Trivialization.apply_symm_applyproof · cited by 2
- Manifold.IsImmersionAtOfComplement.of_opensproof · cited by 2
- contMDiffOn_iffproof · cited by 2
- OpenPartialHomeomorph.hasFPowerSeriesAt_symmproof · cited by 2
- IsLocalHomeomorph.existsUnique_continuousMap_liftsproof · cited by 2
- IsLocalHomeomorph.exists_lift_nhdsproof · cited by 1