`BookProof.ChapterE4.basisVec_sq` (k i : ℕ) : (basisVec k i) ^ 2 = if i = k then 1 else 0

Proved

BookProof.ChapterE4.basisVec_sq

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterE4.

BookProof.ChapterE4.basisVec_sq (k i : ℕ) : (basisVec k i) ^ 2 = if i = k then 1 else 0

Formalization note: Lean 4 identifier BookProof.ChapterE4.basisVec_sq.

Preamble

-- Generated from ChapterE4.lean — theorem BookProof.ChapterE4.basisVec_sq
import Mathlib
import Definitions.Def_ChapterE4
open BookProof.ChapterE4


open scoped BigOperators

Formal statement

theorem BookProof.ChapterE4.basisVec_sq (k i : ℕ) : (basisVec k i) ^ 2 = if i = k then 1 else 0 := by sorry

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