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`BookProof.ChapterSchurIrreducible.mem_rangeClosure` (F : V →L[ℂ] V) (x : V) : F x ∈ rangeClosure F

Proved
BookProof.ChapterSchurIrreducible.mem_rangeClosure

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterSchurIrreducible.

BookProof.ChapterSchurIrreducible.mem_rangeClosure (F : V →L[ℂ] V) (x : V) : F x ∈ rangeClosure F

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

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


open scoped ComplexConjugate InnerProductSpace


open BookProof.ChapterA BookProof.ChapterA.System

variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℂ V] [CompleteSpace V]
Formal statement
theorem BookProof.ChapterSchurIrreducible.mem_rangeClosure (F : V →L[ℂ] V) (x : V) : F x ∈ rangeClosure F := by sorry

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