Theorems · Theorem · general topology
Path.extend_zero
∀ {X : Type u_1} [inst : TopologicalSpace X] {x y : X} (γ : Path x y), γ.extend 0 = x- Defined in
- Mathlib.Topology.Path
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 123 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousMapstatement · cited by 2,491
- Pathstatement and proof · cited by 318
- Path.extendstatement · cited by 52
- Path.sourceproof · cited by 26
- Path.extend_applyproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- isPathConnected_pathComponentInproof · cited by 6
- Path.ofLine_extendstatement · cited by 0
- Path.truncate_zero_zerostatement and proof · cited by 0