Theorems · Theorem · real analysis
HasUnitSpeedOn.union
∀ {E : Type u_2} [inst : PseudoEMetricSpace E] {f : ℝ → E} {s t : Set ℝ} {x : ℝ},
HasUnitSpeedOn f s → HasUnitSpeedOn f t → IsGreatest s x → IsLeast t x → HasUnitSpeedOn f (s ∪ t)- Defined in
- Mathlib.Analysis.ConstantSpeed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- PseudoEMetricSpacestatement and proof · cited by 1,536
- IsLeaststatement and proof · cited by 122
- IsGreateststatement and proof · cited by 112
- HasUnitSpeedOnstatement and proof · cited by 5
- HasConstantSpeedOnWith.unionproof · cited by 2
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