(L : List (SignedHop ι sym)) (hsym : ∀ β, 1 ≤ sym β) : ∃ cst : ℝ, 0 ≤ cst ∧ ∀ x : maxDom sym, |commForm (listH L) (diagMax sym) x| ≤ cst * quadForm (diagMax sym) x
OpenBookProof.NavierStokesFlow.SignedShift.listH_commForm_boundnavier-stokesoperator-algebrastimepiece
Lean 4 theorem BookProof.NavierStokesFlow.SignedShift.listH_commForm_bound (module BookProof.NavierStokesFlow), source chapter BookProof/ChapterNavierStokesFlow.lean.
Preamble
-- Generated from ChapterNavierStokesSignedShift.lean — theorem BookProof.NavierStokesFlow.SignedShift.listH_commForm_bound
import Mathlib
import Definitions.Def_ChapterNavierStokesSignedShift
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.SignedShift
open BookProof.NavierStokesFlow.LpNat BookProof.FarisLavine BookProof.NavierStokesFlow.IkebeKato BookProof.NavierStokesFlow.ShiftHamiltonian BookProof.NavierStokesFlow.AffineFiber
open BookProof.NavierStokesFlow.HermiteFarisLavine
open scoped ENNReal
variable {ι : Type*}
variable {sym : ι → ℝ} (S : SignedHop ι sym)
variable {sym : ι → ℝ}Formal statement
theorem BookProof.NavierStokesFlow.SignedShift.listH_commForm_bound (L : List (SignedHop ι sym)) (hsym : ∀ β, 1 ≤ sym β) :
∃ cst : ℝ, 0 ≤ cst ∧ ∀ x : maxDom sym,
|commForm (listH L) (diagMax sym) x| ≤ cst * quadForm (diagMax sym) x := by sorrySource