Prove2Me

`BookProof.ChapterAttentionMarkov.l1dist_nonneg` (p q : Fin m → ℝ) : 0 ≤ l1dist p q

Proved
BookProof.ChapterAttentionMarkov.l1dist_nonneg

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAttentionMarkov.

BookProof.ChapterAttentionMarkov.l1dist_nonneg (p q : Fin m → ℝ) : 0 ≤ l1dist p q

Formalization note: Lean 4 identifier BookProof.ChapterAttentionMarkov.l1dist_nonneg.

Preamble
-- Generated from ChapterAttentionMarkov.lean — theorem BookProof.ChapterAttentionMarkov.l1dist_nonneg
import Definitions.Def_ChapterSoftmaxSharpness
import Definitions.Def_ChapterSoftmaxOrder
import Mathlib
import Definitions.Def_ChapterAttentionMarkov
open BookProof.ChapterAttentionMarkov


open scoped BigOperators

noncomputable section


open BookProof.ChapterSoftmaxSharpness BookProof.ChapterSoftmaxOrder

variable {m : ℕ}
Formal statement
theorem BookProof.ChapterAttentionMarkov.l1dist_nonneg (p q : Fin m → ℝ) : 0 ≤ l1dist p q := by sorry

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