`BookProof.SmBrstGhost.occupation_occ` {N : ℕ} (i : Fin N) (S : Finset (Fin N)) : creat i (annih i (occ S)) = if i ∈ S then occ S else 0

Proved

BookProof.SmBrstGhost.occupation_occ

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmBrstGhost.

BookProof.SmBrstGhost.occupation_occ {N : ℕ} (i : Fin N) (S : Finset (Fin N)) : creat i (annih i (occ S)) = if i ∈ S then occ S else 0

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

Preamble

-- Generated from ChapterSmBrstGhost.lean — theorem BookProof.SmBrstGhost.occupation_occ
import Definitions.Def_ChapterBRSTNilpotent
import Definitions.Def_ChapterYangMillsSU3
import Mathlib
import Definitions.Def_ChapterSmBrstGhost
import Definitions.Def_ChapterNavierStokesFockSpace
import Definitions.Def_ChapterSmCarAlgebra
open BookProof.NavierStokesFlow.FockOfFock
open BookProof.SmCar
open BookProof.SmBrstGhost



open BookProof.SmCar BookProof.BRSTNilpotent BookProof.YangMillsSU3

noncomputable section

variable {m : ℕ}

Formal statement

theorem BookProof.SmBrstGhost.occupation_occ {N : ℕ} (i : Fin N) (S : Finset (Fin N)) :
    creat i (annih i (occ S)) = if i ∈ S then occ S else 0 := by sorry

View graph