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Theorems · Theorem · general topology

memHolder_const

∀ {X : Type u_1} {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] {r : NNReal} {c : Y},
  MemHolder r (Function.const X c)

See also memHolder_const for the version with the spelling fun _ ↦ c.

Defined in
Mathlib.Topology.MetricSpace.HolderNorm
Cited by
2 results in Mathlib
Foundations
Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

memHolder_const' · cited by 0memHolder_const'memHolder_zero · cited by 0memHolder_zeroNNReal · cited by 4310NNRealPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceMemHolder · cited by 26MemHolderHolderWith.memHolder · cited by 7HolderWith.memHolderHolderWith.const · cited by 3HolderWith.constmemHolder_constCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.