Prove2Me

`BookProof.ChapterAttentionPrior.priorSoftmax_zero` (w : Fin m → ℝ) (s : Fin m → ℝ) (j : Fin m) : priorSoftmax w 0 s j = w j / ∑ l, w l

Proved
BookProof.ChapterAttentionPrior.priorSoftmax_zero

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAttentionPrior.

BookProof.ChapterAttentionPrior.priorSoftmax_zero (w : Fin m → ℝ) (s : Fin m → ℝ) (j : Fin m) : priorSoftmax w 0 s j = w j / ∑ l, w l

Formalization note: Lean 4 identifier BookProof.ChapterAttentionPrior.priorSoftmax_zero.

Preamble
-- Generated from ChapterAttentionPrior.lean — theorem BookProof.ChapterAttentionPrior.priorSoftmax_zero
import Definitions.Def_ChapterSoftmaxSharpness
import Definitions.Def_ChapterSoftmaxOrder
import Mathlib
import Definitions.Def_ChapterAttentionPrior
open BookProof.ChapterAttentionPrior


open scoped BigOperators

noncomputable section


open BookProof.ChapterSoftmaxSharpness BookProof.ChapterSoftmaxOrder

variable {m : ℕ}
Formal statement
theorem BookProof.ChapterAttentionPrior.priorSoftmax_zero (w : Fin m → ℝ) (s : Fin m → ℝ) (j : Fin m) :
    priorSoftmax w 0 s j = w j / ∑ l, w l := by sorry

View graph