`BookProof.ChapterCoherentOverlapComplex.bornWeightC_ofReal` (q : EuclideanSpace ℝ (Fin n)) (k : Fin m → EuclideanSpace ℝ (Fin n)) (j : Fin m) : bornWeightC (ofRealVec q) (fun l =>

Proved

BookProof.ChapterCoherentOverlapComplex.bornWeightC_ofReal

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterCoherentOverlapComplex.

BookProof.ChapterCoherentOverlapComplex.bornWeightC_ofReal (q : EuclideanSpace ℝ (Fin n)) (k : Fin m → EuclideanSpace ℝ (Fin n)) (j : Fin m) : bornWeightC (ofRealVec q) (fun l => ofRealVec (k l)) j = BookProof.ChapterSoftmaxBorn.bornWeight q k j

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

Preamble

-- Generated from ChapterCoherentOverlapComplex.lean — theorem BookProof.ChapterCoherentOverlapComplex.bornWeightC_ofReal
import Mathlib
import Definitions.Def_ChapterCoherentOverlapComplex
import Definitions.Def_ChapterSoftmaxBorn
open BookProof.ChapterSoftmaxBorn
open BookProof.ChapterCoherentOverlapComplex


open scoped BigOperators

noncomputable section


variable {n m : ℕ}

Formal statement

theorem BookProof.ChapterCoherentOverlapComplex.bornWeightC_ofReal (q : EuclideanSpace ℝ (Fin n))
    (k : Fin m → EuclideanSpace ℝ (Fin n)) (j : Fin m) :
    bornWeightC (ofRealVec q) (fun l => ofRealVec (k l)) j
      = BookProof.ChapterSoftmaxBorn.bornWeight q k j := by sorry

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