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`BookProof.ChapterCoherentFidelity.fidelityC_self` (q : EuclideanSpace ℂ (Fin n)) : fidelityC q q = 1

Proved
BookProof.ChapterCoherentFidelity.fidelityC_self

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterCoherentFidelity.

BookProof.ChapterCoherentFidelity.fidelityC_self (q : EuclideanSpace ℂ (Fin n)) : fidelityC q q = 1

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

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


open scoped BigOperators

noncomputable section


open BookProof.ChapterCoherentOverlapComplex BookProof.ChapterSoftmaxSharpness

variable {n m : ℕ}
Formal statement
theorem BookProof.ChapterCoherentFidelity.fidelityC_self (q : EuclideanSpace ℂ (Fin n)) : fidelityC q q = 1 := by sorry

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