`BookProof.NavierStokesFlow.MomentumPerturbation.rankTwo_norm_le` (u w x : L2I ι) : ‖rankTwo u w x‖ ≤ 2 * (‖u‖ * ‖w‖) * ‖x‖

Proved

BookProof.NavierStokesFlow.MomentumPerturbation.rankTwo_norm_le

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesMomentumPerturbation.

BookProof.NavierStokesFlow.MomentumPerturbation.rankTwo_norm_le (u w x : L2I ι) : ‖rankTwo u w x‖ ≤ 2 * (‖u‖ * ‖w‖) * ‖x‖

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.MomentumPerturbation.rankTwo_norm_le.

Preamble

-- Generated from ChapterNavierStokesMomentumPerturbation.lean — theorem BookProof.NavierStokesFlow.MomentumPerturbation.rankTwo_norm_le
import Mathlib
import Definitions.Def_ChapterNavierStokesMomentumPerturbation
import Definitions.Def_ChapterNavierStokesIkebeKato
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.MomentumPerturbation




open LpNat BookProof.FarisLavine IkebeKato

variable {ι : Type*}

Formal statement

theorem BookProof.NavierStokesFlow.MomentumPerturbation.rankTwo_norm_le (u w x : L2I ι) : ‖rankTwo u w x‖ ≤ 2 * (‖u‖ * ‖w‖) * ‖x‖ := by sorry

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