Prove2Me

`BookProof.ChapterAttentionCollision.collisionProb_nonneg` (p : Fin m → ℝ) : 0 ≤ collisionProb p

Proved
BookProof.ChapterAttentionCollision.collisionProb_nonneg

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAttentionCollision.

BookProof.ChapterAttentionCollision.collisionProb_nonneg (p : Fin m → ℝ) : 0 ≤ collisionProb p

Formalization note: Lean 4 identifier BookProof.ChapterAttentionCollision.collisionProb_nonneg.

Preamble
-- Generated from ChapterAttentionCollision.lean — theorem BookProof.ChapterAttentionCollision.collisionProb_nonneg
import Definitions.Def_ChapterSoftmaxSharpness
import Definitions.Def_ChapterSoftmaxOrder
import Mathlib
import Definitions.Def_ChapterAttentionCollision
open BookProof.ChapterAttentionCollision


open scoped BigOperators

noncomputable section


open BookProof.ChapterSoftmaxSharpness BookProof.ChapterSoftmaxOrder

variable {m : ℕ}
Formal statement
theorem BookProof.ChapterAttentionCollision.collisionProb_nonneg (p : Fin m → ℝ) : 0 ≤ collisionProb p := by sorry

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