`BookProof.ChapterAttentionLowRank.exists_scoreMatrix_one_of_le` (hd : m ≤ d) : ∃ Q K : Fin m → Fin d → ℝ, scoreMatrix Q K = 1

Proved

BookProof.ChapterAttentionLowRank.exists_scoreMatrix_one_of_le

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAttentionLowRank.

BookProof.ChapterAttentionLowRank.exists_scoreMatrix_one_of_le (hd : m ≤ d) : ∃ Q K : Fin m → Fin d → ℝ, scoreMatrix Q K = 1

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

Preamble

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


open scoped BigOperators

noncomputable section


variable {m d : ℕ}

Formal statement

theorem BookProof.ChapterAttentionLowRank.exists_scoreMatrix_one_of_le (hd : m ≤ d) :
    ∃ Q K : Fin m → Fin d → ℝ, scoreMatrix Q K = 1 := by sorry

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