Prove2Me

`BookProof.ChapterSoftmaxJacobian.softmaxJacobian_row_sum_zero` (beta : ℝ) (s : Fin m → ℝ) (i : Fin m) : ∑ j, softmaxJacobian beta s i j = 0

Proved
BookProof.ChapterSoftmaxJacobian.softmaxJacobian_row_sum_zero

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSoftmaxJacobian.

BookProof.ChapterSoftmaxJacobian.softmaxJacobian_row_sum_zero (beta : ℝ) (s : Fin m → ℝ) (i : Fin m) : ∑ j, softmaxJacobian beta s i j = 0

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

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


open scoped BigOperators

noncomputable section


open BookProof.ChapterSoftmaxSharpness BookProof.ChapterSoftmaxOrder

variable {m : ℕ}
Formal statement
theorem BookProof.ChapterSoftmaxJacobian.softmaxJacobian_row_sum_zero (beta : ℝ) (s : Fin m → ℝ) (i : Fin m) :
    ∑ j, softmaxJacobian beta s i j = 0 := by sorry

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