`BookProof.ChapterElectroweakFieldStrength.abelian_fieldStrength` (g G : ℂ) (hg : g ≠ 0) : proj g (abelianFmat g G) 2 = G

Proved

BookProof.ChapterElectroweakFieldStrength.abelian_fieldStrength

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterElectroweakFieldStrength.

BookProof.ChapterElectroweakFieldStrength.abelian_fieldStrength (g G : ℂ) (hg : g ≠ 0) : proj g (abelianFmat g G) 2 = G

Formalization note: Lean 4 identifier BookProof.ChapterElectroweakFieldStrength.abelian_fieldStrength.

Preamble

-- Generated from ChapterElectroweakFieldStrength.lean — theorem BookProof.ChapterElectroweakFieldStrength.abelian_fieldStrength
import Definitions.Def_ChapterParity
import Mathlib
import Definitions.Def_ChapterElectroweakFieldStrength
import Definitions.Def_ChapterParitySU2
open BookProof.ChapterParitySU2
open BookProof.ChapterElectroweakFieldStrength


open Matrix


open BookProof.ChapterParity BookProof.ChapterParitySU2

Formal statement

theorem BookProof.ChapterElectroweakFieldStrength.abelian_fieldStrength (g G : ℂ) (hg : g ≠ 0) :
    proj g (abelianFmat g G) 2 = G := by sorry

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