`BookProof.ChapterAttentionMasking.mem_causalMask` {i l : Fin m} : l ∈ causalMask m i ↔ l ≤ i

Proved

BookProof.ChapterAttentionMasking.mem_causalMask

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAttentionMasking.

BookProof.ChapterAttentionMasking.mem_causalMask {i l : Fin m} : l ∈ causalMask m i ↔ l ≤ i

Formalization note: Lean 4 identifier BookProof.ChapterAttentionMasking.mem_causalMask.

Preamble

-- Generated from ChapterAttentionMasking.lean — theorem BookProof.ChapterAttentionMasking.mem_causalMask
import Definitions.Def_ChapterSoftmaxSharpness
import Definitions.Def_ChapterSoftmaxOrder
import Mathlib
import Definitions.Def_ChapterAttentionMasking
open BookProof.ChapterAttentionMasking


open scoped BigOperators

noncomputable section


open BookProof.ChapterSoftmaxSharpness BookProof.ChapterSoftmaxOrder

variable {m : ℕ}

Formal statement

theorem BookProof.ChapterAttentionMasking.mem_causalMask {i l : Fin m} : l ∈ causalMask m i ↔ l ≤ i := by sorry

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