Prove2Me

`BookProof.ChapterSoftmaxJacobian.scorePerturb_of_ne` (s : Fin m → ℝ) {i l : Fin m} (h : l ≠ i) (t : ℝ) : scorePerturb s i t l = s l

Proved
BookProof.ChapterSoftmaxJacobian.scorePerturb_of_ne

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSoftmaxJacobian.

BookProof.ChapterSoftmaxJacobian.scorePerturb_of_ne (s : Fin m → ℝ) {i l : Fin m} (h : l ≠ i) (t : ℝ) : scorePerturb s i t l = s l

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

Preamble
-- Generated from ChapterSoftmaxJacobian.lean — theorem BookProof.ChapterSoftmaxJacobian.scorePerturb_of_ne
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_of_ne (s : Fin m → ℝ) {i l : Fin m} (h : l ≠ i) (t : ℝ) :
    scorePerturb s i t l = s l := by sorry

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