`BookProof.ChapterParity.field_hermitian_decomp` (X : Matrix n n ℂ) : X = hermPart X + Complex.I • antihermPart X

Proved

BookProof.ChapterParity.field_hermitian_decomp

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterParity.

BookProof.ChapterParity.field_hermitian_decomp (X : Matrix n n ℂ) : X = hermPart X + Complex.I • antihermPart X

Formalization note: Lean 4 identifier BookProof.ChapterParity.field_hermitian_decomp.

Preamble

-- Generated from ChapterParity.lean — theorem BookProof.ChapterParity.field_hermitian_decomp
import Mathlib
import Definitions.Def_ChapterParity
open BookProof.ChapterParity


open Matrix
open scoped ComplexConjugate

variable {n : Type*}

Formal statement

theorem BookProof.ChapterParity.field_hermitian_decomp (X : Matrix n n ℂ) :
    X = hermPart X + Complex.I • antihermPart X := by sorry

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