Prove2Me

`BookProof.SmOneParticle.smG_ne_smDG` (a : Fin 8) (i : Fin 3) (b : Fin 8) (k l : Fin 3) : smG a i ≠ smDG b k l

Proved
BookProof.SmOneParticle.smG_ne_smDG

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmOneParticle.

BookProof.SmOneParticle.smG_ne_smDG (a : Fin 8) (i : Fin 3) (b : Fin 8) (k l : Fin 3) : smG a i ≠ smDG b k l

Formalization note: Lean 4 identifier BookProof.SmOneParticle.smG_ne_smDG.

Preamble
-- Generated from ChapterSmOneParticle.lean — theorem BookProof.SmOneParticle.smG_ne_smDG
import Mathlib
import Definitions.Def_ChapterSmOneParticle
open BookProof.SmOneParticle
Formal statement
theorem BookProof.SmOneParticle.smG_ne_smDG (a : Fin 8) (i : Fin 3) (b : Fin 8) (k l : Fin 3) :
    smG a i ≠ smDG b k l := by sorry

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