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Theorems · Theorem · general topology

LipschitzWith.const_min

∀ {α : Type u} [inst : PseudoEMetricSpace α] {f : α → ℝ} {Kf : NNReal},
  LipschitzWith Kf f → ∀ (a : ℝ), LipschitzWith Kf fun x => min 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
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LipschitzWith.projIcc · cited by 1LipschitzWith.projIccReal · cited by 25697RealNNReal · cited by 4310NNRealPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceLipschitzWith · cited by 316LipschitzWithmin_comm · cited by 23min_commLipschitzWith.min_const · cited by 1LipschitzWith.min_constLipschitzWith.const_minCITED BYCITES

Cites6

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Cited by1

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