Theorems · Theorem · general topology
Path.truncate_range
∀ {X : Type u_1} [inst : TopologicalSpace X] {a b : X} (γ : Path a b) {t₀ t₁ : ℝ},
Set.range ⇑(γ.truncate t₀ t₁) ⊆ Set.range ⇑γ- Defined in
- Mathlib.Topology.Path
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites12
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 and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement · cited by 7,166
- Set.rangestatement and proof · cited by 4,705
- ContinuousMapstatement · cited by 2,491
- unitIntervalstatement and proof · cited by 607
- Pathstatement and proof · cited by 318
- Path.extendstatement · cited by 52
- Path.truncatestatement and proof · cited by 7
- Path.extend_rangeproof · cited by 3
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