Theorems · Theorem · general topology
LipschitzWith.const_max
∀ {α : Type u} [inst : PseudoEMetricSpace α] {f : α → ℝ} {Kf : NNReal},
LipschitzWith Kf f → ∀ (a : ℝ), LipschitzWith Kf fun x => max a (f x)- Defined in
- Mathlib.Topology.MetricSpace.Lipschitz
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- LipschitzWithstatement and proof · cited by 316
- max_commproof · cited by 41
- LipschitzWith.max_constproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- LipschitzWith.projIccproof · cited by 1