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Theorems · Theorem · real analysis

LipschitzWith.locallyBoundedVariationOn

∀ {E : Type u_2} [inst : PseudoEMetricSpace E] {f : ℝ → E} {C : NNReal},
  LipschitzWith C f → ∀ (s : Set ℝ), LocallyBoundedVariationOn f s
Defined in
Mathlib.Topology.EMetricSpace.BoundedVariation
Cited by
1 results in Mathlib
Foundations
Depth 157 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.ae_differentiableAt_real · cited by 1LipschitzWith.ae_differen…Set · cited by 53352SetReal · cited by 25697RealNNReal · cited by 4310NNRealPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceLipschitzWith · cited by 316LipschitzWithLocallyBoundedVariationOn · cited by 41LocallyBoundedVariationOnLipschitzWith.lipschitzOnWith · cited by 16LipschitzWith.lipschitzOn…LipschitzOnWith.locallyBoundedVariationOn · cited by 3LipschitzOnWith.locallyBo…LipschitzWith.locallyBoundedV…CITED BYCITES

Cites8

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Cited by1

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