Prove2Me

`BookProof.ChapterA4e.energy_sign_not_conserved` : ∃ j : Fin 3, projPos * spatialOp j ≠ spatialOp j * projPos

Proved
BookProof.ChapterA4e.energy_sign_not_conserved

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA4e.

BookProof.ChapterA4e.energy_sign_not_conserved : ∃ j : Fin 3, projPos * spatialOp j ≠ spatialOp j * projPos

Formalization note: Lean 4 identifier BookProof.ChapterA4e.energy_sign_not_conserved.

Preamble
-- Generated from ChapterA4e.lean — theorem BookProof.ChapterA4e.energy_sign_not_conserved
import Definitions.Def_ChapterA3
import Mathlib
import Definitions.Def_ChapterA4e
import Definitions.Def_ChapterA5
open BookProof.ChapterA5
open BookProof.ChapterA4e


open Matrix


open BookProof.ChapterA3 BookProof.ChapterA5
Formal statement
theorem BookProof.ChapterA4e.energy_sign_not_conserved :
    ∃ j : Fin 3, projPos * spatialOp j ≠ spatialOp j * projPos := by sorry

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