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Theorems · Theorem · general topology

coe_nnHolderNorm_le_eHolderNorm

∀ {X : Type u_1} {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] {r : NNReal} {f : X → Y},
  ↑(nnHolderNorm r f) ≤ eHolderNorm r f
Defined in
Mathlib.Topology.MetricSpace.HolderNorm
Cited by
1 results in Mathlib
Foundations
Depth 203 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.

nnHolderNorm_const · cited by 1nnHolderNorm_constENNReal · cited by 9879ENNRealNNReal · cited by 4310NNRealPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceENNReal.ofNNReal · cited by 1279ENNReal.ofNNRealeHolderNorm · cited by 16eHolderNormnnHolderNorm · cited by 13nnHolderNormENNReal.coe_toNNReal_le_self · cited by 2ENNReal.coe_toNNReal_le_s…coe_nnHolderNorm_le_eHolderNo…CITED BYCITES

Cites7

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Cited by1

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