`BookProof.ChapterAttentionLowRank.scoreMatrix_apply` (Q K : Fin m → Fin d → ℝ) (i j : Fin m) : scoreMatrix Q K i j = ∑ a, Q i a * K j a

Proved

BookProof.ChapterAttentionLowRank.scoreMatrix_apply

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAttentionLowRank.

BookProof.ChapterAttentionLowRank.scoreMatrix_apply (Q K : Fin m → Fin d → ℝ) (i j : Fin m) : scoreMatrix Q K i j = ∑ a, Q i a * K j a

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

Preamble

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


open scoped BigOperators

noncomputable section


variable {m d : ℕ}

Formal statement

theorem BookProof.ChapterAttentionLowRank.scoreMatrix_apply (Q K : Fin m → Fin d → ℝ) (i j : Fin m) :
    scoreMatrix Q K i j = ∑ a, Q i a * K j a := by sorry

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