Prove2Me

`BookProof.ChapterA.Jmap_isRImaginary` [CompleteSpace V] (M : System ℂ V) : IsRImaginary (rxSystem M) Jmap

Proved
BookProof.ChapterA.Jmap_isRImaginary

by leonardopedro · Oct 16, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA1d.

BookProof.ChapterA.Jmap_isRImaginary [CompleteSpace V] (M : System ℂ V) : IsRImaginary (rxSystem M) Jmap

Formalization note: Lean 4 identifier BookProof.ChapterA.Jmap_isRImaginary.

Preamble
-- Generated from ChapterA1d.lean — theorem BookProof.ChapterA.Jmap_isRImaginary
import Mathlib
import Definitions.Def_ChapterA1d
import Definitions.Def_ChapterA
import Definitions.Def_ChapterA1
open BookProof.ChapterA
open BookProof.ChapterA
open BookProof.ChapterA.AntiUnitary


open scoped ComplexConjugate InnerProductSpace RealInnerProductSpace




attribute [local instance] InnerProductSpace.rclikeToReal

variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℂ V]
Formal statement
theorem BookProof.ChapterA.Jmap_isRImaginary [CompleteSpace V] (M : System ℂ V) :
    IsRImaginary (rxSystem M) Jmap := by sorry

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