Prove2Me

`BookProof.ChapterAttentionSparse.attendedMass_le_one` (beta : ℝ) (s : Fin m → ℝ) (S : Finset (Fin m)) (i : Fin m) : attendedMass beta s S ≤ 1

Proved
BookProof.ChapterAttentionSparse.attendedMass_le_one

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAttentionSparse.

BookProof.ChapterAttentionSparse.attendedMass_le_one (beta : ℝ) (s : Fin m → ℝ) (S : Finset (Fin m)) (i : Fin m) : attendedMass beta s S ≤ 1

Formalization note: Lean 4 identifier BookProof.ChapterAttentionSparse.attendedMass_le_one.

Preamble
-- Generated from ChapterAttentionSparse.lean — theorem BookProof.ChapterAttentionSparse.attendedMass_le_one
import Definitions.Def_ChapterSoftmaxOrder
import Mathlib
import Definitions.Def_ChapterAttentionSparse
import Definitions.Def_ChapterSoftmaxSharpness
open BookProof.ChapterSoftmaxSharpness
open BookProof.ChapterAttentionSparse


open scoped BigOperators

noncomputable section


open BookProof.ChapterSoftmaxSharpness BookProof.ChapterSoftmaxOrder

variable {m : ℕ} {E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E]
Formal statement
theorem BookProof.ChapterAttentionSparse.attendedMass_le_one (beta : ℝ) (s : Fin m → ℝ) (S : Finset (Fin m)) (i : Fin m) :
    attendedMass beta s S ≤ 1 := by sorry

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