`BookProof.SmBrstGhost.embedMatter_col_ghost` (m : ℕ) (M : Matrix (Fin m) (Fin m) ℂ) (b : Fin 12) (i : Fin (m + 12)) : embedMatter m M i (ghostMode m b) = 0

Proved

BookProof.SmBrstGhost.embedMatter_col_ghost

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmBrstGhost.

BookProof.SmBrstGhost.embedMatter_col_ghost (m : ℕ) (M : Matrix (Fin m) (Fin m) ℂ) (b : Fin 12) (i : Fin (m + 12)) : embedMatter m M i (ghostMode m b) = 0

Formalization note: Lean 4 identifier BookProof.SmBrstGhost.embedMatter_col_ghost.

Preamble

-- Generated from ChapterSmBrstGhost.lean — theorem BookProof.SmBrstGhost.embedMatter_col_ghost
import Definitions.Def_ChapterSmCarAlgebra
import Definitions.Def_ChapterBRSTNilpotent
import Definitions.Def_ChapterYangMillsSU3
import Mathlib
import Definitions.Def_ChapterSmBrstGhost
open BookProof.SmBrstGhost



open BookProof.SmCar BookProof.BRSTNilpotent BookProof.YangMillsSU3

noncomputable section

variable {m : ℕ}
variable {R : Type*} [Ring R] [Algebra ℝ R] {n : ℕ}
variable {N : ℕ}

Formal statement

theorem BookProof.SmBrstGhost.embedMatter_col_ghost (m : ℕ) (M : Matrix (Fin m) (Fin m) ℂ) (b : Fin 12)
    (i : Fin (m + 12)) : embedMatter m M i (ghostMode m b) = 0 := by sorry

View graph