`BookProof.ChapterAttentionMasking.causalMask_subset` {i i' : Fin m} (h : i ≤ i') : causalMask m i ⊆ causalMask m i'

Proved

BookProof.ChapterAttentionMasking.causalMask_subset

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAttentionMasking.

BookProof.ChapterAttentionMasking.causalMask_subset {i i' : Fin m} (h : i ≤ i') : causalMask m i ⊆ causalMask m i'

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

Preamble

-- Generated from ChapterAttentionMasking.lean — theorem BookProof.ChapterAttentionMasking.causalMask_subset
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.causalMask_subset {i i' : Fin m} (h : i ≤ i') : causalMask m i ⊆ causalMask m i' := by sorry

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