Theorems · Theorem · functional analysis
EuclideanSpace.norm_single
Deprecated since 2026-03-15Use PiLp.norm_single instead.
∀ {ι : Type u_1} {𝕜 : Type u_3} [inst : RCLike 𝕜] [inst_1 : DecidableEq ι] [inst_2 : Fintype ι] (i : ι) (a : 𝕜),
‖EuclideanSpace.single i a‖ = ‖a‖- Defined in
- Mathlib.Analysis.InnerProductSpace.PiL2
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLikeDecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- ENNRealstatement · cited by 9,879
- Fintypestatement and proof · cited by 7,736
- Norm.normstatement and proof · cited by 5,413
- RCLikestatement and proof · cited by 2,829
- EuclideanSpacestatement · cited by 307
- EuclideanSpace.singlestatement · cited by 21
- PiLp.norm_singleproof · cited by 4
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