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Theorems · Definition · functional analysis

EuclideanSpace.single

{ι : Type u_1} → {𝕜 : Type u_3} → [RCLike 𝕜] → [DecidableEq ι] → ι → 𝕜 → EuclideanSpace 𝕜 ι

The vector given in Euclidean space by being a : 𝕜 at coordinate i : ι and 0 : 𝕜 at all other coordinates.

Defined in
Mathlib.Analysis.InnerProductSpace.PiL2
Cited by
21 results in Mathlib
Foundations
Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RCLikeDecidableEq

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