`BookProof.ChapterCoherentOverlapComplex.bornWeightC_sum_one` (q : EuclideanSpace ℂ (Fin n)) (k : Fin m → EuclideanSpace ℂ (Fin n)) (j₀ : Fin m) : ∑ j, bornWeightC q k j = 1

Proved

BookProof.ChapterCoherentOverlapComplex.bornWeightC_sum_one

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterCoherentOverlapComplex.

BookProof.ChapterCoherentOverlapComplex.bornWeightC_sum_one (q : EuclideanSpace ℂ (Fin n)) (k : Fin m → EuclideanSpace ℂ (Fin n)) (j₀ : Fin m) : ∑ j, bornWeightC q k j = 1

Formalization note: Lean 4 identifier BookProof.ChapterCoherentOverlapComplex.bornWeightC_sum_one.

Preamble

-- Generated from ChapterCoherentOverlapComplex.lean — theorem BookProof.ChapterCoherentOverlapComplex.bornWeightC_sum_one
import Mathlib
import Definitions.Def_ChapterCoherentOverlapComplex
open BookProof.ChapterCoherentOverlapComplex


open scoped BigOperators

noncomputable section


variable {n m : ℕ}

Formal statement

theorem BookProof.ChapterCoherentOverlapComplex.bornWeightC_sum_one (q : EuclideanSpace ℂ (Fin n))
    (k : Fin m → EuclideanSpace ℂ (Fin n)) (j₀ : Fin m) :
    ∑ j, bornWeightC q k j = 1 := by sorry

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