Prove2Me

`BookProof.ChapterAttentionMasking.maskedSoftmax_sum_one` (beta : ℝ) (s : Fin m → ℝ) {S : Finset (Fin m)} (hS : S.Nonempty) : ∑ j, maskedSoftmax beta s S j = 1

Proved
BookProof.ChapterAttentionMasking.maskedSoftmax_sum_one

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAttentionMasking.

BookProof.ChapterAttentionMasking.maskedSoftmax_sum_one (beta : ℝ) (s : Fin m → ℝ) {S : Finset (Fin m)} (hS : S.Nonempty) : ∑ j, maskedSoftmax beta s S j = 1

Formalization note: Lean 4 identifier BookProof.ChapterAttentionMasking.maskedSoftmax_sum_one.

Preamble
-- Generated from ChapterAttentionMasking.lean — theorem BookProof.ChapterAttentionMasking.maskedSoftmax_sum_one
import Definitions.Def_ChapterSoftmaxSharpness
import Definitions.Def_ChapterSoftmaxOrder
import Mathlib
import Definitions.Def_ChapterAttentionMasking
open BookProof.ChapterAttentionMasking


open scoped BigOperators

noncomputable section


open BookProof.ChapterSoftmaxSharpness BookProof.ChapterSoftmaxOrder

variable {m : ℕ}
Formal statement
theorem BookProof.ChapterAttentionMasking.maskedSoftmax_sum_one (beta : ℝ) (s : Fin m → ℝ) {S : Finset (Fin m)}
    (hS : S.Nonempty) : ∑ j, maskedSoftmax beta s S j = 1 := by sorry

View graph