Theorems · Theorem · functional analysis
EuclideanSpace.single_apply
Deprecated since 2026-03-15Use PiLp.single_apply instead.
∀ {ι : Type u_1} {𝕜 : Type u_3} [inst : RCLike 𝕜] [inst_1 : DecidableEq ι] (i : ι) (a : 𝕜) (j : ι),
(EuclideanSpace.single i a).ofLp j = if j = i then a else 0- Defined in
- Mathlib.Analysis.InnerProductSpace.PiL2
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLikeDecidableEq
Around this declaration
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- RCLikestatement and proof · cited by 2,829
- WithLp.ofLpstatement · cited by 323
- EuclideanSpace.singlestatement · cited by 21
- PiLp.single_applyproof · cited by 11
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