(X Y : ι → ℂ) (β : ι) : ‖S.crossB X Y β‖ ≤ S.maj.ampSeq X (S.shift β) * ‖Y β‖
ProvedBookProof.NavierStokesFlow.SignedShift.SignedHop.norm_crossB_lenavier-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 sorrySource