Theorems · Theorem · general topology
holderWith_one
∀ {X : Type u_1} {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] {C : NNReal} {f : X → Y},
HolderWith C 1 f ↔ LipschitzWith C f- Defined in
- Mathlib.Topology.MetricSpace.Holder
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- PseudoEMetricSpacestatement and proof · cited by 1,536
- LipschitzWithstatement · cited by 316
- HolderWithstatement · cited by 47
- lipschitzOnWith_univproof · cited by 11
- holderOnWith_univproof · cited by 8
- holderOnWith_oneproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- LipschitzWith.holderWithproof · cited by 1