`BookProof.ChapterAttentionLowRank.rank_scoreMatrix_le` (Q K : Fin m → Fin d → ℝ) : (scoreMatrix Q K).rank ≤ d

Proved

BookProof.ChapterAttentionLowRank.rank_scoreMatrix_le

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAttentionLowRank.

BookProof.ChapterAttentionLowRank.rank_scoreMatrix_le (Q K : Fin m → Fin d → ℝ) : (scoreMatrix Q K).rank ≤ d

Formalization note: Lean 4 identifier BookProof.ChapterAttentionLowRank.rank_scoreMatrix_le.

Preamble

-- Generated from ChapterAttentionLowRank.lean — theorem BookProof.ChapterAttentionLowRank.rank_scoreMatrix_le
import Mathlib
import Definitions.Def_ChapterAttentionLowRank
open BookProof.ChapterAttentionLowRank


open scoped BigOperators

noncomputable section


variable {m d : ℕ}

Formal statement

theorem BookProof.ChapterAttentionLowRank.rank_scoreMatrix_le (Q K : Fin m → Fin d → ℝ) :
    (scoreMatrix Q K).rank ≤ d := by sorry

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