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Theorems · Theorem · general topology

MemHolder.add

∀ {X : Type u_1} {Y : Type u_2} [inst : MetricSpace X] [inst_1 : NormedAddCommGroup Y] {r : NNReal} {f g : X → Y},
  MemHolder r f → MemHolder r g → MemHolder r (f + g)
Defined in
Mathlib.Topology.MetricSpace.HolderNorm
Cited by
2 results in Mathlib
Foundations
Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MetricSpaceNormedAddCommGroup
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Around this declaration

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

MemHolder.nnHolderNorm_add_le · cited by 1MemHolder.nnHolderNorm_ad…eHolderNorm_add_le · cited by 0eHolderNorm_add_leNormedAddCommGroup · cited by 15752NormedAddCommGroupNNReal · cited by 4310NNRealMetricSpace · cited by 1684MetricSpaceMemHolder · cited by 26MemHolderHolderWith.memHolder · cited by 7HolderWith.memHolderMemHolder.holderWith · cited by 7MemHolder.holderWithHolderWith.add · cited by 2HolderWith.addMemHolder.addCITED BYCITES

Cites7

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Cited by2

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