Theorems · Theorem · general topology
HolderOnWith.mono
∀ {X : Type u_1} {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] {C r : NNReal} {f : X → Y}
{s t : Set X}, HolderOnWith C r f s → t ⊆ s → HolderOnWith C r f t- Defined in
- Mathlib.Topology.MetricSpace.Holder
- Cited by
- 3 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.
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
- HolderOnWithstatement and proof · cited by 44
- HolderOnWith.edist_leproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- dimH_image_le_of_locally_holder_onproof · cited by 2
- HolderOnWith.ediam_image_le_of_subset_of_leproof · cited by 1
- HolderOnWith.ediam_image_le_of_subsetproof · cited by 0