Theorems · Theorem · general topology
HolderWith.holderOnWith
∀ {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 → ∀ (s : Set X), HolderOnWith C r f s- 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- NNRealstatement and proof · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- HolderWithstatement and proof · cited by 47
- HolderOnWithstatement · cited by 44
Cited by8
Results whose statement or proof uses this declaration.
- HolderWith.nndist_le_of_leproof · cited by 1
- HolderWith.uniformContinuousproof · cited by 1
- HolderWith.compproof · cited by 1
- HolderOnWith.comp_holderWithproof · cited by 1
- HolderWith.dimH_image_leproof · cited by 1
- HolderWith.dist_le_of_leproof · cited by 1
- HolderWith.edist_le_of_leproof · cited by 1
- HolderWith.comp_holderOnWithproof · cited by 0