`BookProof.ChapterSE2.se2_coef_12` : mgamma5Z * mgammaZ 1 * (mgammaZ 0 + mgammaZ 3) * (mgamma5Z * mgammaZ 2 * (mgammaZ 0 + mgammaZ 3)) = 0

Proved

BookProof.ChapterSE2.se2_coef_12

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSE2.

BookProof.ChapterSE2.se2_coef_12 : mgamma5Z * mgammaZ 1 * (mgammaZ 0 + mgammaZ 3) * (mgamma5Z * mgammaZ 2 * (mgammaZ 0 + mgammaZ 3)) = 0

Formalization note: Lean 4 identifier BookProof.ChapterSE2.se2_coef_12.

Preamble

-- Generated from ChapterSE2.lean — theorem BookProof.ChapterSE2.se2_coef_12
import Mathlib
import Definitions.Def_ChapterSE2
import Definitions.Def_ChapterA3
open BookProof.ChapterA3
open BookProof.ChapterSE2


open Matrix


open BookProof.ChapterA3

Formal statement

theorem BookProof.ChapterSE2.se2_coef_12 :
    mgamma5Z * mgammaZ 1 * (mgammaZ 0 + mgammaZ 3) *
      (mgamma5Z * mgammaZ 2 * (mgammaZ 0 + mgammaZ 3)) = 0 := by sorry

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