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`BookProof.ChapterF1.field_gauge_invariant_iff` (Q : ℂ[X]) (a : ℂ[X]) : (![a, 0] ∈ BookProof.ChapterG2.brstKer Q) ↔ Q * a = 0

Proved
BookProof.ChapterF1.field_gauge_invariant_iff

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterF1.

BookProof.ChapterF1.field_gauge_invariant_iff (Q : ℂ[X]) (a : ℂ[X]) : (![a, 0] ∈ BookProof.ChapterG2.brstKer Q) ↔ Q * a = 0

Formalization note: Lean 4 identifier BookProof.ChapterF1.field_gauge_invariant_iff.

Preamble
-- Generated from ChapterF1.lean — theorem BookProof.ChapterF1.field_gauge_invariant_iff
import Mathlib
import Definitions.Def_ChapterF1
open BookProof.ChapterF1


open Polynomial Finset
open scoped BigOperators


noncomputable section
Formal statement
theorem BookProof.ChapterF1.field_gauge_invariant_iff (Q : ℂ[X]) (a : ℂ[X]) :
    (![a, 0] ∈ BookProof.ChapterG2.brstKer Q) ↔ Q * a = 0 := by sorry

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