`BookProof.ChapterCoherentOverlapComplex.bornNumerC_ofReal` (q k : EuclideanSpace ℝ (Fin n)) : bornNumerC (ofRealVec q) (ofRealVec k) = BookProof.ChapterSoftmaxBorn.bornNumer q k

Proved

BookProof.ChapterCoherentOverlapComplex.bornNumerC_ofReal

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterCoherentOverlapComplex.

BookProof.ChapterCoherentOverlapComplex.bornNumerC_ofReal (q k : EuclideanSpace ℝ (Fin n)) : bornNumerC (ofRealVec q) (ofRealVec k) = BookProof.ChapterSoftmaxBorn.bornNumer q k

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

Preamble

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


open scoped BigOperators

noncomputable section


variable {n m : ℕ}

Formal statement

theorem BookProof.ChapterCoherentOverlapComplex.bornNumerC_ofReal (q k : EuclideanSpace ℝ (Fin n)) :
    bornNumerC (ofRealVec q) (ofRealVec k)
      = BookProof.ChapterSoftmaxBorn.bornNumer q k := by sorry

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