`BookProof.ChapterSoftmaxJacobian.scorePerturb_self` (s : Fin m → ℝ) (i : Fin m) (t : ℝ) : scorePerturb s i t i = s i + t

Proved

BookProof.ChapterSoftmaxJacobian.scorePerturb_self

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSoftmaxJacobian.

BookProof.ChapterSoftmaxJacobian.scorePerturb_self (s : Fin m → ℝ) (i : Fin m) (t : ℝ) : scorePerturb s i t i = s i + t

Formalization note: Lean 4 identifier BookProof.ChapterSoftmaxJacobian.scorePerturb_self.

Preamble

-- Generated from ChapterSoftmaxJacobian.lean — theorem BookProof.ChapterSoftmaxJacobian.scorePerturb_self
import Definitions.Def_ChapterSoftmaxSharpness
import Definitions.Def_ChapterSoftmaxOrder
import Mathlib
import Definitions.Def_ChapterSoftmaxJacobian
open BookProof.ChapterSoftmaxJacobian


open scoped BigOperators

noncomputable section


open BookProof.ChapterSoftmaxSharpness BookProof.ChapterSoftmaxOrder

variable {m : ℕ}

Formal statement

theorem BookProof.ChapterSoftmaxJacobian.scorePerturb_self (s : Fin m → ℝ) (i : Fin m) (t : ℝ) :
    scorePerturb s i t i = s i + t := by sorry

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