Theorems · Theorem · general topology
HolderWith.continuous
∀ {X : Type u_1} {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] {C r : NNReal}
{f : X → Y}, HolderWith C r f → 0 < r → Continuous f- Defined in
- Mathlib.Topology.MetricSpace.Holder
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement and proof · cited by 4,310
- Continuousstatement · cited by 2,592
- PseudoEMetricSpacestatement and proof · cited by 1,536
- UniformContinuous.continuousproof · cited by 66
- HolderWithstatement and proof · cited by 47
- HolderWith.uniformContinuousproof · cited by 1
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