`BookProof.ChapterWeakValue.ip_add_right` (f v w : Fin n → ℂ) : ip f (v + w) = ip f v + ip f w

Proved

BookProof.ChapterWeakValue.ip_add_right

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWeakValue.

BookProof.ChapterWeakValue.ip_add_right (f v w : Fin n → ℂ) : ip f (v + w) = ip f v + ip f w

Formalization note: Lean 4 identifier BookProof.ChapterWeakValue.ip_add_right.

Preamble

-- Generated from ChapterWeakValue.lean — theorem BookProof.ChapterWeakValue.ip_add_right
import Mathlib
import Definitions.Def_ChapterWeakValue
open BookProof.ChapterWeakValue


open scoped BigOperators Matrix


variable {n : ℕ}

Formal statement

theorem BookProof.ChapterWeakValue.ip_add_right (f v w : Fin n → ℂ) : ip f (v + w) = ip f v + ip f w := by sorry

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