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`BookProof.ChapterSoftmaxDivergence.fisherInformation_eq_varScore` (beta : ℝ) (s : Fin m → ℝ) : fisherInformation beta s = varScore beta s

Proved
BookProof.ChapterSoftmaxDivergence.fisherInformation_eq_varScore

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSoftmaxDivergence.

BookProof.ChapterSoftmaxDivergence.fisherInformation_eq_varScore (beta : ℝ) (s : Fin m → ℝ) : fisherInformation beta s = varScore beta s

Formalization note: Lean 4 identifier BookProof.ChapterSoftmaxDivergence.fisherInformation_eq_varScore.

Preamble
-- Generated from ChapterSoftmaxDivergence.lean — theorem BookProof.ChapterSoftmaxDivergence.fisherInformation_eq_varScore
import Definitions.Def_ChapterAttentionEntropy
import Definitions.Def_ChapterSoftmaxSharpness
import Mathlib
import Definitions.Def_ChapterSoftmaxDivergence
import Definitions.Def_ChapterSoftmaxFluctuation
open BookProof.ChapterSoftmaxDivergence


open scoped BigOperators

noncomputable section


open BookProof.ChapterAttentionEntropy BookProof.ChapterSoftmaxSharpness
open BookProof.ChapterSoftmaxFluctuation

variable {m : ℕ}
Formal statement
theorem BookProof.ChapterSoftmaxDivergence.fisherInformation_eq_varScore (beta : ℝ) (s : Fin m → ℝ) :
    fisherInformation beta s = varScore beta s := by sorry

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