`BookProof.ChapterF3.diagGen_vacuum` (a : ℂ) : (a • ChapterF1.numberOp) (1 : ℂ[X]) = 0

Proved

BookProof.ChapterF3.diagGen_vacuum

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterF3.

BookProof.ChapterF3.diagGen_vacuum (a : ℂ) : (a • ChapterF1.numberOp) (1 : ℂ[X]) = 0

Formalization note: Lean 4 identifier BookProof.ChapterF3.diagGen_vacuum.

Preamble

-- Generated from ChapterF3.lean — theorem BookProof.ChapterF3.diagGen_vacuum
import Mathlib
import Definitions.Def_ChapterF3
import Definitions.Def_ChapterGhostField
open BookProof.GhostField
open BookProof.ChapterF3


open scoped BigOperators
open Polynomial


noncomputable section

variable {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℂ E]

Formal statement

theorem BookProof.ChapterF3.diagGen_vacuum (a : ℂ) : (a • ChapterF1.numberOp) (1 : ℂ[X]) = 0 := by sorry

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