`BookProof.ChapterPauliFundamental.intertwiner_isUnit` {S : M4} (hS0 : S ≠ 0) (hSint : ∀ μ, A μ * S = S * mgamma μ) : IsUnit S.det

Proved

BookProof.ChapterPauliFundamental.intertwiner_isUnit

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPauliFundamental.

BookProof.ChapterPauliFundamental.intertwiner_isUnit {S : M4} (hS0 : S ≠ 0) (hSint : ∀ μ, A μ * S = S * mgamma μ) : IsUnit S.det

Formalization note: Lean 4 identifier BookProof.ChapterPauliFundamental.intertwiner_isUnit.

Preamble

-- Generated from ChapterPauliFundamental.lean — theorem BookProof.ChapterPauliFundamental.intertwiner_isUnit
import Definitions.Def_ChapterGammaCommutant
import Mathlib
import Definitions.Def_ChapterPauliFundamental
import Definitions.Def_ChapterA3
open BookProof.ChapterA3
open BookProof.ChapterPauliFundamental


open Matrix Finset


open BookProof.ChapterA3 BookProof.ChapterGammaCommutant

variable {A : Fin 4 → M4}

Formal statement

theorem BookProof.ChapterPauliFundamental.intertwiner_isUnit {S : M4} (hS0 : S ≠ 0) (hSint : ∀ μ, A μ * S = S * mgamma μ) :
    IsUnit S.det := by sorry

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