Prove2Me

`BookProof.ChapterSoftmaxDivergence.fisherInformation_nonneg` (beta : ℝ) (s : Fin m → ℝ) : 0 ≤ fisherInformation beta s

Proved
BookProof.ChapterSoftmaxDivergence.fisherInformation_nonneg

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSoftmaxDivergence.

BookProof.ChapterSoftmaxDivergence.fisherInformation_nonneg (beta : ℝ) (s : Fin m → ℝ) : 0 ≤ fisherInformation beta s

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

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


open scoped BigOperators

noncomputable section


open BookProof.ChapterAttentionEntropy BookProof.ChapterSoftmaxSharpness

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

View graph