`BookProof.ChapterSternGerlach.dft_column_sum` (n : ℕ) (hn : 0 < n) (j : Fin n) : ∑ i, Complex.normSq (dftMatrix n i j) = 1

Proved

BookProof.ChapterSternGerlach.dft_column_sum

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSternGerlach.

BookProof.ChapterSternGerlach.dft_column_sum (n : ℕ) (hn : 0 < n) (j : Fin n) : ∑ i, Complex.normSq (dftMatrix n i j) = 1

Formalization note: Lean 4 identifier BookProof.ChapterSternGerlach.dft_column_sum.

Preamble

-- Generated from ChapterSternGerlach.lean — theorem BookProof.ChapterSternGerlach.dft_column_sum
import Mathlib
import Definitions.Def_ChapterSternGerlach
open BookProof.ChapterSternGerlach



open Complex Matrix Finset

Formal statement

theorem BookProof.ChapterSternGerlach.dft_column_sum (n : ℕ) (hn : 0 < n) (j : Fin n) :
    ∑ i, Complex.normSq (dftMatrix n i j) = 1 := by sorry

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