`BookProof.NavierStokesFlow.HermiteFarisLavine.norm_crossB` (hκ : 0 ≤ κ) (X Y : ℕ → ℂ) (n : ℕ) : ‖crossB κ X Y n‖ = amp κ n * ‖X (n + 2)‖ * ‖Y n‖

Proved

BookProof.NavierStokesFlow.HermiteFarisLavine.norm_crossB

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesHermiteFarisLavine.

BookProof.NavierStokesFlow.HermiteFarisLavine.norm_crossB (hκ : 0 ≤ κ) (X Y : ℕ → ℂ) (n : ℕ) : ‖crossB κ X Y n‖ = amp κ n * ‖X (n + 2)‖ * ‖Y n‖

Formalization note: Lean 4 identifier BookProof.NavierStokesFlow.HermiteFarisLavine.norm_crossB.

Preamble

-- Generated from ChapterNavierStokesHermiteFarisLavine.lean — theorem BookProof.NavierStokesFlow.HermiteFarisLavine.norm_crossB
import Mathlib
import Definitions.Def_ChapterNavierStokesHermiteFarisLavine
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.HermiteFarisLavine


open scoped ENNReal



open LpNat BookProof.FarisLavine IkebeKato

variable {κ : ℝ}
variable {x : maxDom (oscSymbol κ)}

Formal statement

theorem BookProof.NavierStokesFlow.HermiteFarisLavine.norm_crossB (hκ : 0 ≤ κ) (X Y : ℕ → ℂ) (n : ℕ) :
    ‖crossB κ X Y n‖ = amp κ n * ‖X (n + 2)‖ * ‖Y n‖ := by sorry

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