Prove2Me

`BookProof.ChapterA4h.cor1_energy_sectors_swapped` (j : Fin 3) : projPos * spatialOp j = spatialOp j * projNeg

Proved
BookProof.ChapterA4h.cor1_energy_sectors_swapped

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA4h.

BookProof.ChapterA4h.cor1_energy_sectors_swapped (j : Fin 3) : projPos * spatialOp j = spatialOp j * projNeg

Formalization note: Lean 4 identifier BookProof.ChapterA4h.cor1_energy_sectors_swapped.

Preamble
-- Generated from ChapterA4h.lean — theorem BookProof.ChapterA4h.cor1_energy_sectors_swapped
import Definitions.Def_ChapterA4f
import Definitions.Def_ChapterA5
import Mathlib
import Definitions.Def_ChapterA4h
import Definitions.Def_ChapterA4e
open BookProof.ChapterA4e
open BookProof.ChapterA4h


open Matrix


open BookProof.ChapterA4e BookProof.ChapterA4f BookProof.ChapterA5

variable (R : Type*)
Formal statement
theorem BookProof.ChapterA4h.cor1_energy_sectors_swapped (j : Fin 3) :
    projPos * spatialOp j = spatialOp j * projNeg := by sorry

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