`BookProof.ChapterParityHypercharge.hyperPhase_neg_mul` (θ : ℝ) : hyperPhase θ * hyperPhase (-θ) = 1

Proved

BookProof.ChapterParityHypercharge.hyperPhase_neg_mul

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterParityHypercharge.

BookProof.ChapterParityHypercharge.hyperPhase_neg_mul (θ : ℝ) : hyperPhase θ * hyperPhase (-θ) = 1

Formalization note: Lean 4 identifier BookProof.ChapterParityHypercharge.hyperPhase_neg_mul.

Preamble

-- Generated from ChapterParityHypercharge.lean — theorem BookProof.ChapterParityHypercharge.hyperPhase_neg_mul
import Definitions.Def_ChapterA3
import Mathlib
import Definitions.Def_ChapterParityHypercharge
open BookProof.ChapterParityHypercharge


open Matrix
open scoped ComplexConjugate


open BookProof.ChapterA3

Formal statement

theorem BookProof.ChapterParityHypercharge.hyperPhase_neg_mul (θ : ℝ) : hyperPhase θ * hyperPhase (-θ) = 1 := by sorry

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