`BookProof.QuantizationWeyl.Heis_mul` (a b c a' b' c' : ℝ) : Heis a b c * Heis a' b' c' = Heis (a + a') (b + b') (c + c' + a * b')

Proved

BookProof.QuantizationWeyl.Heis_mul

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterQuantizationWeyl.

BookProof.QuantizationWeyl.Heis_mul (a b c a' b' c' : ℝ) : Heis a b c * Heis a' b' c' = Heis (a + a') (b + b') (c + c' + a * b')

Formalization note: Lean 4 identifier BookProof.QuantizationWeyl.Heis_mul.

Preamble

-- Generated from ChapterQuantizationWeyl.lean — theorem BookProof.QuantizationWeyl.Heis_mul
import Mathlib
import Definitions.Def_ChapterQuantizationWeyl
open BookProof.QuantizationWeyl


open NormedSpace
open scoped Matrix


attribute [local instance] Matrix.linftyOpNormedRing Matrix.linftyOpNormedAlgebra

Formal statement

theorem BookProof.QuantizationWeyl.Heis_mul (a b c a' b' c' : ℝ) :
    Heis a b c * Heis a' b' c' = Heis (a + a') (b + b') (c + c' + a * b') := by sorry

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