`BookProof.ChapterA4h.not_localizable_of_tachyon` (p : Fin 3 → ℝ) (m₁ m₂ : ℝ) (h : p 0 ^ 2 + p 1 ^ 2 + p 2 ^ 2 < m₁ ^ 2 + m₂ ^ 2) : ¬ Localizable p m₁ m₂

Proved

BookProof.ChapterA4h.not_localizable_of_tachyon

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterA4h.

BookProof.ChapterA4h.not_localizable_of_tachyon (p : Fin 3 → ℝ) (m₁ m₂ : ℝ) (h : p 0 ^ 2 + p 1 ^ 2 + p 2 ^ 2 < m₁ ^ 2 + m₂ ^ 2) : ¬ Localizable p m₁ m₂

Formalization note: Lean 4 identifier BookProof.ChapterA4h.not_localizable_of_tachyon.

Preamble

-- Generated from ChapterA4h.lean — theorem BookProof.ChapterA4h.not_localizable_of_tachyon
import Definitions.Def_ChapterA4e
import Definitions.Def_ChapterA4f
import Definitions.Def_ChapterA5
import Mathlib
import Definitions.Def_ChapterA4h
open BookProof.ChapterA4h


open Matrix


open BookProof.ChapterA4e BookProof.ChapterA4f BookProof.ChapterA5

Formal statement

theorem BookProof.ChapterA4h.not_localizable_of_tachyon (p : Fin 3 → ℝ) (m₁ m₂ : ℝ)
    (h : p 0 ^ 2 + p 1 ^ 2 + p 2 ^ 2 < m₁ ^ 2 + m₂ ^ 2) :
    ¬ Localizable p m₁ m₂ := by sorry

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