Mathlib Map

Theorems · Theorem · general topology

HolderWith.of_isEmpty

∀ {X : Type u_1} {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] {C r : NNReal} {f : X → Y}
  [IsEmpty X], HolderWith C r f
Defined in
Mathlib.Topology.MetricSpace.Holder
Cited by
1 results in Mathlib
Foundations
Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpaceIsEmpty
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Around this declaration

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

eHolderNorm_of_isEmpty · cited by 1eHolderNorm_of_isEmptyNNReal · cited by 4310NNRealPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceIsEmpty · cited by 759IsEmptyisEmptyElim · cited by 59isEmptyElimHolderWith · cited by 47HolderWithHolderWith.of_isEmptyCITED BYCITES

Cites5

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Cited by1

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