`BookProof.NavierStokesFlow.HermiteFarisLavine.norm_crossA` (hκ : 0 ≤ κ) (X Y : ℕ → ℂ) (n : ℕ) : ‖crossA κ X Y n‖ = ampSeq κ X n * ‖Y (n + 2)‖

Proved

BookProof.NavierStokesFlow.HermiteFarisLavine.norm_crossA

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesHermiteFarisLavine.

BookProof.NavierStokesFlow.HermiteFarisLavine.norm_crossA (hκ : 0 ≤ κ) (X Y : ℕ → ℂ) (n : ℕ) : ‖crossA κ X Y n‖ = ampSeq κ X n * ‖Y (n + 2)‖

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

Preamble

-- Generated from ChapterNavierStokesHermiteFarisLavine.lean — theorem BookProof.NavierStokesFlow.HermiteFarisLavine.norm_crossA
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_crossA (hκ : 0 ≤ κ) (X Y : ℕ → ℂ) (n : ℕ) :
    ‖crossA κ X Y n‖ = ampSeq κ X n * ‖Y (n + 2)‖ := by sorry

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