(z : ℂ) : ((starRingEnd ℂ) z * z).re = ‖z‖ ^ 2

Proved

BookProof.FockOneParticleGap.conj_mul_re

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

timepiece

Lean 4 theorem BookProof.FockOneParticleGap.conj_mul_re (module BookProof.FockOneParticleGap), source chapter BookProof/ChapterFockOneParticleGap.lean.

Preamble

-- Generated from ChapterFockOneParticleGap.lean — theorem BookProof.FockOneParticleGap.conj_mul_re
import Mathlib
import Definitions.Def_ChapterFockOneParticleGap
open BookProof.FockOneParticleGap












noncomputable section


open BookProof.FockSecondQuantization BookProof.FarisLavine BookProof.NavierStokesFlow
open Filter Topology

Formal statement

theorem BookProof.FockOneParticleGap.conj_mul_re (z : ℂ) : ((starRingEnd ℂ) z * z).re = ‖z‖ ^ 2 := by sorry

Source

https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterFockOneParticleGap.lean

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