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Theorems · Theorem · functional analysis

WithLp.prod_lipschitzWith_ofLp

∀ (p : ENNReal) (α : Type u_2) (β : Type u_3) [hp : Fact (1 ≤ p)] [inst : PseudoEMetricSpace α]
  [inst_1 : PseudoEMetricSpace β], LipschitzWith 1 WithLp.ofLp
Defined in
Mathlib.Analysis.Normed.Lp.ProdLp
Cited by
3 results in Mathlib
Foundations
Depth 219 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FactPseudoEMetricSpacePseudoEMetricSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasureTheory.memLp_prodLp_iff · cited by 3MeasureTheory.memLp_prodL…WithLp.prod_antilipschitzWith_toLp · cited by 1WithLp.prod_antilipschitz…WithLp.prod_isometry_ofLp_infty · cited by 0WithLp.prod_isometry_ofLp…ENNReal · cited by 9879ENNRealNNReal · cited by 4310NNRealFact · cited by 2726FactPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceWithLp · cited by 345WithLpWithLp.ofLp · cited by 323WithLp.ofLpLipschitzWith · cited by 316LipschitzWithWithLp.prod_lipschitzWith_ofLpCITED BYCITES

Cites7

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Cited by3

Results whose statement or proof uses this declaration.