`BookProof.ChapterA.Jmap_sq` (x : V) : Jmap (Jmap x) = -x

Proved

BookProof.ChapterA.Jmap_sq

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA1d.

BookProof.ChapterA.Jmap_sq (x : V) : Jmap (Jmap x) = -x

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

Preamble

-- Generated from ChapterA1d.lean — theorem BookProof.ChapterA.Jmap_sq
import Mathlib
import Definitions.Def_ChapterA1d
import Definitions.Def_ChapterA
open BookProof.ChapterA


open scoped ComplexConjugate InnerProductSpace RealInnerProductSpace




attribute [local instance] InnerProductSpace.rclikeToReal

variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℂ V]

Formal statement

theorem BookProof.ChapterA.Jmap_sq (x : V) : Jmap (Jmap x) = -x := by sorry

View graph