Theorems · Theorem · general topology
Path.extend_range
∀ {X : Type u_1} [inst : TopologicalSpace X] {a b : X} (γ : Path a b), Set.range ⇑γ.extend = Set.range ⇑γ- Defined in
- Mathlib.Topology.Path
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 122 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement · cited by 7,166
- Set.rangestatement · cited by 4,705
- ContinuousMapstatement · cited by 2,491
- unitIntervalstatement · cited by 607
- Pathstatement and proof · cited by 318
- Path.extendstatement · cited by 52
- Set.IccExtend_rangeproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Path.trans_rangeproof · cited by 1
- Path.image_extend_of_subsetproof · cited by 1
- Path.truncate_rangeproof · cited by 0