Prove2Me

`BookProof.ChapterAttentionMasking.maskedSoftmax_eq_conditional` (beta : ℝ) (s : Fin m → ℝ) {S : Finset (Fin m)} {j : Fin m} (hj : j ∈ S) : maskedSoftmax beta s S j = scoreSoftmax

Proved
BookProof.ChapterAttentionMasking.maskedSoftmax_eq_conditional

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAttentionMasking.

BookProof.ChapterAttentionMasking.maskedSoftmax_eq_conditional (beta : ℝ) (s : Fin m → ℝ) {S : Finset (Fin m)} {j : Fin m} (hj : j ∈ S) : maskedSoftmax beta s S j = scoreSoftmax beta s j / ∑ l ∈ S, scoreSoftmax beta s l

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

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


open scoped BigOperators

noncomputable section


open BookProof.ChapterSoftmaxSharpness BookProof.ChapterSoftmaxOrder

variable {m : ℕ}
Formal statement
theorem BookProof.ChapterAttentionMasking.maskedSoftmax_eq_conditional (beta : ℝ) (s : Fin m → ℝ) {S : Finset (Fin m)}
    {j : Fin m} (hj : j ∈ S) :
    maskedSoftmax beta s S j = scoreSoftmax beta s j / ∑ l ∈ S, scoreSoftmax beta s l := by sorry

View graph