Prove2Me

`BookProof.ChapterSchurFiniteDimensional.isSchurFull_of_irreducible_finiteDimensional` [FiniteDimensional ℂ V] [Nontrivial V] (M : System ℂ V) (hirr : M.IsIrreducible) : IsSchurFul

Proved
BookProof.ChapterSchurFiniteDimensional.isSchurFull_of_irreducible_finiteDimensional

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSchurFiniteDimensional.

BookProof.ChapterSchurFiniteDimensional.isSchurFull_of_irreducible_finiteDimensional [FiniteDimensional ℂ V] [Nontrivial V] (M : System ℂ V) (hirr : M.IsIrreducible) : IsSchurFull M

Formalization note: Lean 4 identifier BookProof.ChapterSchurFiniteDimensional.isSchurFull_of_irreducible_finiteDimensional.

Preamble
-- Generated from ChapterSchurFiniteDimensional.lean — theorem BookProof.ChapterSchurFiniteDimensional.isSchurFull_of_irreducible_finiteDimensional
import Mathlib
import Definitions.Def_ChapterSchurFiniteDimensional
import Definitions.Def_ChapterA
open BookProof.ChapterA
open BookProof.ChapterA
open BookProof.ChapterSchurFiniteDimensional


open scoped ComplexConjugate InnerProductSpace


open BookProof.ChapterA BookProof.ChapterA

variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℂ V] [CompleteSpace V]
Formal statement
theorem BookProof.ChapterSchurFiniteDimensional.isSchurFull_of_irreducible_finiteDimensional [FiniteDimensional ℂ V] [Nontrivial V]
    (M : System ℂ V) (hirr : M.IsIrreducible) : IsSchurFull M := by sorry

View graph