Theorems · Theorem · general topology
LipschitzWith.min
∀ {α : Type u} [inst : PseudoEMetricSpace α] {f g : α → ℝ} {Kf Kg : NNReal},
LipschitzWith Kf f → LipschitzWith Kg g → LipschitzWith (max Kf Kg) fun x => min (f x) (g x)- Defined in
- Mathlib.Topology.MetricSpace.Lipschitz
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 157 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.
Cites8
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
- one_mulproof · cited by 2,841
- PseudoEMetricSpacestatement and proof · cited by 1,536
- LipschitzWithstatement and proof · cited by 316
- LipschitzWith.compproof · cited by 11
- LipschitzWith.prodMkproof · cited by 4
- lipschitzWith_minproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- LipschitzWith.min_constproof · cited by 1