Prove2Me

`BookProof.ChapterPauliLorentz.hermMat_injective` {x y : Fin 4 → ℝ} (h : hermMat x = hermMat y) : x 0 = y 0 ∧ x 1 = y 1 ∧ x 2 = y 2 ∧ x 3 = y 3

Proved
BookProof.ChapterPauliLorentz.hermMat_injective

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterPauliLorentz.

BookProof.ChapterPauliLorentz.hermMat_injective {x y : Fin 4 → ℝ} (h : hermMat x = hermMat y) : x 0 = y 0 ∧ x 1 = y 1 ∧ x 2 = y 2 ∧ x 3 = y 3

Formalization note: Lean 4 identifier BookProof.ChapterPauliLorentz.hermMat_injective.

Preamble
-- Generated from ChapterPauliLorentz.lean — theorem BookProof.ChapterPauliLorentz.hermMat_injective
import Mathlib
import Definitions.Def_ChapterPauliLorentz
open BookProof.ChapterPauliLorentz


open Matrix
open scoped BigOperators
Formal statement
theorem BookProof.ChapterPauliLorentz.hermMat_injective {x y : Fin 4 → ℝ} (h : hermMat x = hermMat y) :
    x 0 = y 0 ∧ x 1 = y 1 ∧ x 2 = y 2 ∧ x 3 = y 3 := by sorry

View graph