`BookProof.ChapterWeakValue.ip_smul_right` (c : ℂ) (f v : Fin n → ℂ) : ip f (c • v) = c * ip f v

Proved

BookProof.ChapterWeakValue.ip_smul_right

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWeakValue.

BookProof.ChapterWeakValue.ip_smul_right (c : ℂ) (f v : Fin n → ℂ) : ip f (c • v) = c * ip f v

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

Preamble

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


open scoped BigOperators Matrix


variable {n : ℕ}

Formal statement

theorem BookProof.ChapterWeakValue.ip_smul_right (c : ℂ) (f v : Fin n → ℂ) : ip f (c • v) = c * ip f v := by sorry

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