Theorems · Theorem · general topology
eHolderNorm_add_le
∀ {X : Type u_1} {Y : Type u_2} [inst : MetricSpace X] [inst_1 : NormedAddCommGroup Y] {r : NNReal} {f g : X → Y},
eHolderNorm r (f + g) ≤ eHolderNorm r f + eHolderNorm r g- Defined in
- Mathlib.Topology.MetricSpace.HolderNorm
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- NNRealstatement and proof · cited by 4,310
- MetricSpacestatement and proof · cited by 1,684
- ENNReal.ofNNRealproof · cited by 1,279
- ENNReal.coe_le_coeproof · cited by 73
- top_addproof · cited by 55
- add_topproof · cited by 49
- MemHolderproof · cited by 26
- eHolderNormstatement and proof · cited by 16
- nnHolderNormproof · cited by 13
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.