`BookProof.NavierStokesFlow.MomentumEsa.nsComparison_quadForm_ge` (d : ℕ) (p q : Fin d → ℕ → ℝ) (x : maxDom (nsSymbol d p q)) : ‖(x : L2I ℕ)‖ ^ 2 ≤ quadForm (diagMax (nsSymbol d p

Proved

BookProof.NavierStokesFlow.MomentumEsa.nsComparison_quadForm_ge

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesMomentumEsa.

BookProof.NavierStokesFlow.MomentumEsa.nsComparison_quadForm_ge (d : ℕ) (p q : Fin d → ℕ → ℝ) (x : maxDom (nsSymbol d p q)) : ‖(x : L2I ℕ)‖ ^ 2 ≤ quadForm (diagMax (nsSymbol d p q)) x

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.MomentumEsa.nsComparison_quadForm_ge.

Preamble

-- Generated from ChapterNavierStokesMomentumEsa.lean — theorem BookProof.NavierStokesFlow.MomentumEsa.nsComparison_quadForm_ge
import Mathlib
import Definitions.Def_ChapterNavierStokesMomentumEsa
import Definitions.Def_ChapterFarisLavineCore
import Definitions.Def_ChapterNavierStokesGaugeY
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesGaugeY
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.MomentumEsa




open LpNat BookProof.FarisLavine IkebeKato FarisLavineLift DiagonalEsa

variable {ι : Type*}

Formal statement

theorem BookProof.NavierStokesFlow.MomentumEsa.nsComparison_quadForm_ge (d : ℕ) (p q : Fin d → ℕ → ℝ)
    (x : maxDom (nsSymbol d p q)) :
    ‖(x : L2I ℕ)‖ ^ 2 ≤ quadForm (diagMax (nsSymbol d p q)) x := by sorry

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