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(X Y : ι → ℂ) (β : ι) : ‖S.crossB X Y β‖ ≤ S.maj.ampSeq X (S.shift β) * ‖Y β‖

Proved
BookProof.NavierStokesFlow.SignedShift.SignedHop.norm_crossB_le

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

navier-stokesoperator-algebrastimepiece

Lean 4 theorem BookProof.NavierStokesFlow.SignedShift.SignedHop.norm_crossB_le (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.

Preamble
-- Generated from ChapterNavierStokesSignedShift.lean — theorem BookProof.NavierStokesFlow.SignedShift.SignedHop.norm_crossB_le
import Mathlib
import Definitions.Def_ChapterNavierStokesSignedShift
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.SignedShift
open BookProof.NavierStokesFlow.SignedShift.SignedHop









open scoped ENNReal




variable {ι : Type*}



variable {sym : ι → ℝ} (S : SignedHop ι sym)
Formal statement
theorem BookProof.NavierStokesFlow.SignedShift.SignedHop.norm_crossB_le (X Y : ι → ℂ) (β : ι) :
    ‖S.crossB X Y β‖ ≤ S.maj.ampSeq X (S.shift β) * ‖Y β‖ := by sorry
Source
https://github.com/leonardopedrio/timepiece/blob/61595bc/BookProof/ChapterNavierStokesFlow.lean

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