Theorems · Theorem · general topology
LocallyLipschitz.const_max
∀ {α : Type u} [inst : PseudoEMetricSpace α] {f : α → ℝ},
LocallyLipschitz f → ∀ (a : ℝ), LocallyLipschitz fun x => max a (f x)- Defined in
- Mathlib.Topology.MetricSpace.Lipschitz
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
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Cites5
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- Realstatement and proof · cited by 25,697
- PseudoEMetricSpacestatement and proof · cited by 1,536
- max_commproof · cited by 41
- LocallyLipschitzstatement and proof · cited by 34
- LocallyLipschitz.max_constproof · cited by 1
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