`BookProof.ChapterIPin.ipin_right` (Λ : P →* Multiplicative (AddAut V)) (x y : IPin Λ) : (x * y).right = x.right * y.right

Proved

BookProof.ChapterIPin.ipin_right

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterIPin.

BookProof.ChapterIPin.ipin_right (Λ : P →* Multiplicative (AddAut V)) (x y : IPin Λ) : (x * y).right = x.right * y.right

Formalization note: Lean 4 identifier BookProof.ChapterIPin.ipin_right.

Preamble

-- Generated from ChapterIPin.lean — theorem BookProof.ChapterIPin.ipin_right
import Mathlib
import Definitions.Def_ChapterIPin
open BookProof.ChapterIPin



open Multiplicative

variable {P V : Type*} [Group P] [AddCommGroup V] (Λ : P →* Multiplicative (AddAut V))

Formal statement

theorem BookProof.ChapterIPin.ipin_right (Λ : P →* Multiplicative (AddAut V)) (x y : IPin Λ) :
    (x * y).right = x.right * y.right := by sorry

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