`BookProof.ChapterAttentionMixing.pushIter_zero` (P : Fin m → Fin m → ℝ) (p : Fin m → ℝ) : pushIter P 0 p = p

Proved

BookProof.ChapterAttentionMixing.pushIter_zero

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterAttentionMixing.

BookProof.ChapterAttentionMixing.pushIter_zero (P : Fin m → Fin m → ℝ) (p : Fin m → ℝ) : pushIter P 0 p = p

Formalization note: Lean 4 identifier BookProof.ChapterAttentionMixing.pushIter_zero.

Preamble

-- Generated from ChapterAttentionMixing.lean — theorem BookProof.ChapterAttentionMixing.pushIter_zero
import Definitions.Def_ChapterSoftmaxSharpness
import Definitions.Def_ChapterSoftmaxOrder
import Mathlib
import Definitions.Def_ChapterAttentionMixing
open BookProof.ChapterAttentionMixing


open scoped BigOperators

open Filter Topology

noncomputable section


open BookProof.ChapterSoftmaxSharpness BookProof.ChapterSoftmaxOrder

variable {m : ℕ}

Formal statement

theorem BookProof.ChapterAttentionMixing.pushIter_zero (P : Fin m → Fin m → ℝ) (p : Fin m → ℝ) : pushIter P 0 p = p := by sorry

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