Theorems · Definition · general topology
Path.symm
{X : Type u_1} → [inst : TopologicalSpace X] → {x y : X} → Path x y → Path y xThe reverse of a path from x to y, as a path from y to x
- Defined in
- Mathlib.Topology.Path
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Pathstatement and proof · cited by 318
- unitInterval.symmproof · cited by 69
Cited by42
Results whose statement or proof uses this declaration.
- Path.Homotopic.Quotient.symmproof · cited by 5
- Path.symm_symmstatement · cited by 5
- Path.Homotopy.reflTransproof · cited by 4
- Path.trans_symmstatement and proof · cited by 3
- GenLoop.symmAtproof · cited by 3
- Path.delayReflLeftproof · cited by 3
- Joined.symmproof · cited by 3
- Path.symm_applystatement and proof · cited by 3
- Path.extend_symm_applystatement · cited by 2
- Path.Homotopy.reflTransSymmstatement · cited by 2
- Path.Homotopy.symm₂statement · cited by 2
- curveIntegralFun_symmstatement · cited by 2