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Theorems · Theorem · general topology

HolderWith.eHolderNorm_le

∀ {X : Type u_1} {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] {r : NNReal} {f : X → Y}
  {C : NNReal}, HolderWith C r f → eHolderNorm r f ≤ ↑C
Defined in
Mathlib.Topology.MetricSpace.HolderNorm
Cited by
3 results in Mathlib
Foundations
Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpace
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Around this declaration

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

MemHolder.coe_nnHolderNorm_eq_eHolderNorm · cited by 5MemHolder.coe_nnHolderNor…eHolderNorm_smul · cited by 2eHolderNorm_smulHolderWith.nnholderNorm_le · cited by 1HolderWith.nnholderNorm_leENNReal · cited by 9879ENNRealNNReal · cited by 4310NNRealPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceENNReal.ofNNReal · cited by 1279ENNReal.ofNNRealHolderWith · cited by 47HolderWithiInf₂_le · cited by 45iInf₂_leeHolderNorm · cited by 16eHolderNormHolderWith.eHolderNorm_leCITED BYCITES

Cites7

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Cited by3

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