`BookProof.NavierStokesGaugeY2.end_ext_of_leibniz` (D : Module.End ℂ NSAlg) (hL : ∀ p q, D (p * q) = D p * q + p * D q) (hC : ∀ c : ℂ, D (C c) = 0) (hX : ∀ v, D (X v) = 0) : D = 0

Proved

BookProof.NavierStokesGaugeY2.end_ext_of_leibniz

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesGaugeY2.

BookProof.NavierStokesGaugeY2.end_ext_of_leibniz (D : Module.End ℂ NSAlg) (hL : ∀ p q, D (p * q) = D p * q + p * D q) (hC : ∀ c : ℂ, D (C c) = 0) (hX : ∀ v, D (X v) = 0) : D = 0

Formalization note: Lean 4 identifier BookProof.NavierStokesGaugeY2.end_ext_of_leibniz.

Preamble

-- Generated from ChapterNavierStokesGaugeY2.lean — theorem BookProof.NavierStokesGaugeY2.end_ext_of_leibniz
import Mathlib
import Definitions.Def_ChapterNavierStokesGaugeY2
import Definitions.Def_ChapterNavierStokesGaugeY
open BookProof.NavierStokesGaugeY
open BookProof.NavierStokesGaugeY2



open MvPolynomial BookProof.NavierStokesGaugeY

Formal statement

theorem BookProof.NavierStokesGaugeY2.end_ext_of_leibniz (D : Module.End ℂ NSAlg)
    (hL : ∀ p q, D (p * q) = D p * q + p * D q)
    (hC : ∀ c : ℂ, D (C c) = 0) (hX : ∀ v, D (X v) = 0) : D = 0 := by sorry

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