Prove2Me

`BookProof.ChapterCoherentFidelity.fidelityC_eq_bornNumerC` (q k : EuclideanSpace ℂ (Fin n)) : fidelityC q k = bornNumerC q k

Proved
BookProof.ChapterCoherentFidelity.fidelityC_eq_bornNumerC

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterCoherentFidelity.

BookProof.ChapterCoherentFidelity.fidelityC_eq_bornNumerC (q k : EuclideanSpace ℂ (Fin n)) : fidelityC q k = bornNumerC q k

Formalization note: Lean 4 identifier BookProof.ChapterCoherentFidelity.fidelityC_eq_bornNumerC.

Preamble
-- Generated from ChapterCoherentFidelity.lean — theorem BookProof.ChapterCoherentFidelity.fidelityC_eq_bornNumerC
import Definitions.Def_ChapterSoftmaxSharpness
import Mathlib
import Definitions.Def_ChapterCoherentFidelity
import Definitions.Def_ChapterCoherentOverlapComplex
open BookProof.ChapterCoherentOverlapComplex
open BookProof.ChapterCoherentFidelity


open scoped BigOperators

noncomputable section


open BookProof.ChapterCoherentOverlapComplex BookProof.ChapterSoftmaxSharpness

variable {n m : ℕ}
Formal statement
theorem BookProof.ChapterCoherentFidelity.fidelityC_eq_bornNumerC (q k : EuclideanSpace ℂ (Fin n)) :
    fidelityC q k = bornNumerC q k := by sorry

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