Theorems · Theorem · general topology
holderOnWith_univ
∀ {X : Type u_1} {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] {C r : NNReal}
{f : X → Y}, HolderOnWith C r f Set.univ ↔ HolderWith C r f- Defined in
- Mathlib.Topology.MetricSpace.Holder
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Set.univstatement · cited by 3,945
- PseudoEMetricSpacestatement and proof · cited by 1,536
- ENNReal.ofNNRealproof · cited by 1,279
- NNReal.toRealproof · cited by 1,260
- EDist.edistproof · cited by 735
- HolderWithstatement · cited by 47
- HolderOnWithstatement · cited by 44
Cited by8
Results whose statement or proof uses this declaration.
- MemHolder.of_leproof · cited by 3
- HolderOnWith.comp_holderWithproof · cited by 1
- holderWith_oneproof · cited by 1
- HolderWith.interpolateproof · cited by 0
- HolderWith.interpolate_constproof · cited by 0
- HolderWith.of_leproof · cited by 0
- HolderWith.of_le_of_leproof · cited by 0
- HolderWith.holderWith_zero_of_boundedproof · cited by 0