Theorems · Theorem · functional analysis
EuclideanSpace.nnnorm_eq
∀ {𝕜 : Type u_7} [inst : RCLike 𝕜] {n : Type u_8} [inst_1 : Fintype n] (x : EuclideanSpace 𝕜 n),
‖x‖₊ = NNReal.sqrt (∑ i, ‖x.ofLp i‖₊ ^ 2)- Defined in
- Mathlib.Analysis.InnerProductSpace.PiL2
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 222 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- ENNRealstatement · cited by 9,879
- Fintypestatement and proof · cited by 7,736
- Finset.sumstatement · cited by 5,195
- NNRealstatement · cited by 4,310
- Finset.univstatement · cited by 3,473
- RCLikestatement and proof · cited by 2,829
- NNNorm.nnnormstatement · cited by 952
- OrderIsostatement · cited by 874
- WithLp.ofLpstatement · cited by 323
- EuclideanSpacestatement and proof · cited by 307
- NNReal.sqrtstatement · cited by 91
Cited by1
Results whose statement or proof uses this declaration.
- EuclideanSpace.norm_eqproof · cited by 8