`BookProof.ChapterCPTHamiltonian.Kin_eq_cast` (j : Fin 3) : Kin j = (Int.castRingHom ℂ).mapMatrix (KinZ j)

Proved

BookProof.ChapterCPTHamiltonian.Kin_eq_cast

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterCPTHamiltonian.

BookProof.ChapterCPTHamiltonian.Kin_eq_cast (j : Fin 3) : Kin j = (Int.castRingHom ℂ).mapMatrix (KinZ j)

Formalization note: Lean 4 identifier BookProof.ChapterCPTHamiltonian.Kin_eq_cast.

Preamble

-- Generated from ChapterCPTHamiltonian.lean — theorem BookProof.ChapterCPTHamiltonian.Kin_eq_cast
import Mathlib
import Definitions.Def_ChapterCPTHamiltonian
import Definitions.Def_ChapterA3
open BookProof.ChapterA3
open BookProof.ChapterCPTHamiltonian


open Matrix


open BookProof.ChapterA3

Formal statement

theorem BookProof.ChapterCPTHamiltonian.Kin_eq_cast (j : Fin 3) :
    Kin j = (Int.castRingHom ℂ).mapMatrix (KinZ j) := by sorry

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