`BookProof.NavierStokesGaugeY.genY_uField_perturbed` (i j : Fin 3) (c : ℂ) : genY j (uField i + C c * X (NSVar.y j)) = C c

Proved

BookProof.NavierStokesGaugeY.genY_uField_perturbed

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesGaugeY.

BookProof.NavierStokesGaugeY.genY_uField_perturbed (i j : Fin 3) (c : ℂ) : genY j (uField i + C c * X (NSVar.y j)) = C c

Formalization note: Lean 4 identifier BookProof.NavierStokesGaugeY.genY_uField_perturbed.

Preamble

-- Generated from ChapterNavierStokesGaugeY.lean — theorem BookProof.NavierStokesGaugeY.genY_uField_perturbed
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
import Mathlib
import Definitions.Def_ChapterNavierStokesGaugeY
open BookProof.NavierStokesGaugeY



open MvPolynomial BookProof.NavierStokesFlow

Formal statement

theorem BookProof.NavierStokesGaugeY.genY_uField_perturbed (i j : Fin 3) (c : ℂ) :
    genY j (uField i + C c * X (NSVar.y j)) = C c := by sorry

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