`BookProof.SmOneParticle.smG_ne_smPhi` (a : Fin 8) (i : Fin 3) (b : Fin 4) : smG a i ≠ smPhi b

Proved

BookProof.SmOneParticle.smG_ne_smPhi

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSmOneParticle.

BookProof.SmOneParticle.smG_ne_smPhi (a : Fin 8) (i : Fin 3) (b : Fin 4) : smG a i ≠ smPhi b

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

Preamble

-- Generated from ChapterSmOneParticle.lean — theorem BookProof.SmOneParticle.smG_ne_smPhi
import Mathlib
import Definitions.Def_ChapterSmOneParticle
open BookProof.SmOneParticle

Formal statement

theorem BookProof.SmOneParticle.smG_ne_smPhi (a : Fin 8) (i : Fin 3) (b : Fin 4) : smG a i ≠ smPhi b := by sorry

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