`BookProof.ChapterSinusoidalPosition.peInner_self` (w : Fin n → ℝ) (p : ℝ) : peInner w p p = (n : ℝ)

Proved

BookProof.ChapterSinusoidalPosition.peInner_self

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSinusoidalPosition.

BookProof.ChapterSinusoidalPosition.peInner_self (w : Fin n → ℝ) (p : ℝ) : peInner w p p = (n : ℝ)

Formalization note: Lean 4 identifier BookProof.ChapterSinusoidalPosition.peInner_self.

Preamble

-- Generated from ChapterSinusoidalPosition.lean — theorem BookProof.ChapterSinusoidalPosition.peInner_self
import Definitions.Def_ChapterSoftmaxSharpness
import Definitions.Def_ChapterSoftmaxOrder
import Mathlib
import Definitions.Def_ChapterSinusoidalPosition
open BookProof.ChapterSinusoidalPosition


open scoped BigOperators

noncomputable section


open BookProof.ChapterSoftmaxSharpness BookProof.ChapterSoftmaxOrder

variable {n : ℕ}

Formal statement

theorem BookProof.ChapterSinusoidalPosition.peInner_self (w : Fin n → ℝ) (p : ℝ) : peInner w p p = (n : ℝ) := by sorry

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