Prove2Me

`BookProof.HermiteExpWall.abs_pow_eight` (t : ℝ) : |t| ^ 8 = t ^ 8

Proved
BookProof.HermiteExpWall.abs_pow_eight

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterHermiteExpWall.

BookProof.HermiteExpWall.abs_pow_eight (t : ℝ) : |t| ^ 8 = t ^ 8

Formalization note: Lean 4 identifier BookProof.HermiteExpWall.abs_pow_eight.

Preamble
-- Generated from ChapterHermiteExpWall.lean — theorem BookProof.HermiteExpWall.abs_pow_eight
import Definitions.Def_ChapterHermiteFunctions
import Definitions.Def_ChapterStarobinskyPotential
import Definitions.Def_ChapterQgHermiteCore
import Definitions.Def_ChapterHermiteProductCore
import Mathlib
import Definitions.Def_ChapterHermiteExpWall
open BookProof.HermiteExpWall



open MeasureTheory Polynomial
open BookProof.HermiteCore BookProof.Starobinsky BookProof.QgHermiteCore
open BookProof.HermiteProductCore

noncomputable section
Formal statement
theorem BookProof.HermiteExpWall.abs_pow_eight (t : ℝ) : |t| ^ 8 = t ^ 8 := by sorry

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