Theorems · Theorem · general topology
HolderWith.memHolder
∀ {X : Type u_1} {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] {r : NNReal} {f : X → Y}
{C : NNReal}, HolderWith C r f → MemHolder r f- Defined in
- Mathlib.Topology.MetricSpace.HolderNorm
- Cited by
- 7 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.
Cites4
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
- HolderWithstatement and proof · cited by 47
- MemHolderstatement · cited by 26
Cited by7
Results whose statement or proof uses this declaration.
- MemHolder.smulproof · cited by 4
- MemHolder.addproof · cited by 2
- memHolder_constproof · cited by 2
- eHolderNorm_smulproof · cited by 2
- HolderWith.nnholderNorm_leproof · cited by 1
- memHolder_iff_holderWithproof · cited by 0
- MemHolder.compproof · cited by 0