`BookProof.ChapterWignerSymmetry.eq_norm_of_re_eq_norm` {z : ℂ} (h : z.re = ‖z‖) : z = (‖z‖ : ℂ)

Proved

BookProof.ChapterWignerSymmetry.eq_norm_of_re_eq_norm

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWignerSymmetry.

BookProof.ChapterWignerSymmetry.eq_norm_of_re_eq_norm {z : ℂ} (h : z.re = ‖z‖) : z = (‖z‖ : ℂ)

Formalization note: Lean 4 identifier BookProof.ChapterWignerSymmetry.eq_norm_of_re_eq_norm.

Preamble

-- Generated from ChapterWignerSymmetry.lean — theorem BookProof.ChapterWignerSymmetry.eq_norm_of_re_eq_norm
import Mathlib
import Definitions.Def_ChapterWignerSymmetry
open BookProof.ChapterWignerSymmetry


open scoped InnerProductSpace ComplexConjugate
open Finset


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


variable {T : E → E}

Formal statement

theorem BookProof.ChapterWignerSymmetry.eq_norm_of_re_eq_norm {z : ℂ} (h : z.re = ‖z‖) : z = (‖z‖ : ℂ) := by sorry

View graph