`BookProof.ChapterSuperBracket.sbracket_even_right` (p : Bool) (a b : R) : sbracket p false a b = a * b - b * a

Proved

BookProof.ChapterSuperBracket.sbracket_even_right

by leonardopedro · Oct 11, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSuperBracket.

BookProof.ChapterSuperBracket.sbracket_even_right (p : Bool) (a b : R) : sbracket p false a b = a * b - b * a

Formalization note: Lean 4 identifier BookProof.ChapterSuperBracket.sbracket_even_right.

Preamble

-- Generated from ChapterSuperBracket.lean — theorem BookProof.ChapterSuperBracket.sbracket_even_right
import Mathlib
import Definitions.Def_ChapterSuperBracket
import Definitions.Def_ChapterElectroweakFieldStrength
open BookProof.ChapterElectroweakFieldStrength
open BookProof.ChapterSuperBracket



variable {R : Type*} [Ring R]

Formal statement

theorem BookProof.ChapterSuperBracket.sbracket_even_right (p : Bool) (a b : R) :
    sbracket p false a b = a * b - b * a := by sorry

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