Prove2Me

`BookProof.ChapterSchurIrreducible.isSchurUnitary_of_irreducible` [Nontrivial V] (M : System ℂ V) (hM : M.IsNormal) (hirr : M.IsIrreducible) : IsSchurUnitary M

Proved
BookProof.ChapterSchurIrreducible.isSchurUnitary_of_irreducible

by leonardopedro · Oct 17, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSchurIrreducible.

BookProof.ChapterSchurIrreducible.isSchurUnitary_of_irreducible [Nontrivial V] (M : System ℂ V) (hM : M.IsNormal) (hirr : M.IsIrreducible) : IsSchurUnitary M

Formalization note: Lean 4 identifier BookProof.ChapterSchurIrreducible.isSchurUnitary_of_irreducible.

Preamble
-- Generated from ChapterSchurIrreducible.lean — theorem BookProof.ChapterSchurIrreducible.isSchurUnitary_of_irreducible
import Mathlib
import Definitions.Def_ChapterSchurIrreducible
import Definitions.Def_ChapterA
open BookProof.ChapterA
open BookProof.ChapterA
open BookProof.ChapterSchurIrreducible


open scoped ComplexConjugate InnerProductSpace


open BookProof.ChapterA BookProof.ChapterA

variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℂ V] [CompleteSpace V]
Formal statement
theorem BookProof.ChapterSchurIrreducible.isSchurUnitary_of_irreducible [Nontrivial V] (M : System ℂ V) (hM : M.IsNormal)
    (hirr : M.IsIrreducible) : IsSchurUnitary M := by sorry

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