`BookProof.NavierStokesGaugeY2.genY2_uField2_perturbed_ne_zero` (i j : Fin 3) (c : ℂ) (hc : c ≠ 0) : genY2 j (uField2 i + C c * (X (NSVar.y j) * X (NSVar.y j))) ≠ 0

Proved

BookProof.NavierStokesGaugeY2.genY2_uField2_perturbed_ne_zero

by leonardopedro · Oct 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesGaugeY2.

BookProof.NavierStokesGaugeY2.genY2_uField2_perturbed_ne_zero (i j : Fin 3) (c : ℂ) (hc : c ≠ 0) : genY2 j (uField2 i + C c * (X (NSVar.y j) * X (NSVar.y j))) ≠ 0

Formalization note: Lean 4 identifier BookProof.NavierStokesGaugeY2.genY2_uField2_perturbed_ne_zero.

Preamble

-- Generated from ChapterNavierStokesGaugeY2.lean — theorem BookProof.NavierStokesGaugeY2.genY2_uField2_perturbed_ne_zero
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.genY2_uField2_perturbed_ne_zero (i j : Fin 3) (c : ℂ) (hc : c ≠ 0) :
    genY2 j (uField2 i + C c * (X (NSVar.y j) * X (NSVar.y j))) ≠ 0 := by sorry

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