`BookProof.NavierStokesFlow.HermiteFarisLavine.summable_crossB` (hκ : 0 ≤ κ) {X Y : ℕ → ℂ} (hX : Summable fun n => (ampSeq κ X n) ^ 2) (hY : Summable fun n => ‖Y n‖ ^ 2) : Summable

Proved

BookProof.NavierStokesFlow.HermiteFarisLavine.summable_crossB

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

theoremstimepiece

Prove the following Lean 4 theorem from ChapterNavierStokesHermiteFarisLavine.

BookProof.NavierStokesFlow.HermiteFarisLavine.summable_crossB (hκ : 0 ≤ κ) {X Y : ℕ → ℂ} (hX : Summable fun n => (ampSeq κ X n) ^ 2) (hY : Summable fun n => ‖Y n‖ ^ 2) : Summable (crossB κ X Y)

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

Preamble

-- Generated from ChapterNavierStokesHermiteFarisLavine.lean — theorem BookProof.NavierStokesFlow.HermiteFarisLavine.summable_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.summable_crossB (hκ : 0 ≤ κ) {X Y : ℕ → ℂ}
    (hX : Summable fun n => (ampSeq κ X n) ^ 2) (hY : Summable fun n => ‖Y n‖ ^ 2) :
    Summable (crossB κ X Y) := by sorry

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