`BookProof.ChapterRotaryPosition.rotaryEncode_add` (omega : Fin n → ℝ) (p p' : ℝ) (q : EuclideanSpace ℂ (Fin n)) : rotaryEncode omega (p + p') q = rotaryEncode omega p (rotaryEncod

Proved

BookProof.ChapterRotaryPosition.rotaryEncode_add

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterRotaryPosition.

BookProof.ChapterRotaryPosition.rotaryEncode_add (omega : Fin n → ℝ) (p p' : ℝ) (q : EuclideanSpace ℂ (Fin n)) : rotaryEncode omega (p + p') q = rotaryEncode omega p (rotaryEncode omega p' q)

Formalization note: Lean 4 identifier BookProof.ChapterRotaryPosition.rotaryEncode_add.

Preamble

-- Generated from ChapterRotaryPosition.lean — theorem BookProof.ChapterRotaryPosition.rotaryEncode_add
import Definitions.Def_ChapterCoherentOverlapComplex
import Mathlib
import Definitions.Def_ChapterRotaryPosition
open BookProof.ChapterRotaryPosition


open scoped BigOperators

noncomputable section


open BookProof.ChapterCoherentOverlapComplex

variable {n m : ℕ}

Formal statement

theorem BookProof.ChapterRotaryPosition.rotaryEncode_add (omega : Fin n → ℝ) (p p' : ℝ) (q : EuclideanSpace ℂ (Fin n)) :
    rotaryEncode omega (p + p') q = rotaryEncode omega p (rotaryEncode omega p' q) := by sorry

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