The Lean 4 theorem `ns_esa_of_farisLavine` in the `ChapterNavierStokesFlow` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.ns_esa_of_farisLavinetimepiece
The Lean 4 theorem ns_esa_of_farisLavine in the ChapterNavierStokesFlow chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesFlow.lean — theorem BookProof.NavierStokesFlow.ns_esa_of_farisLavine
import Mathlib
import Definitions.Def_ChapterNavierStokesFlow
open BookProof.NavierStokesFlow
open scoped BigOperators Matrix Kronecker ComplexOrder TensorProduct
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]Formal statement
theorem BookProof.NavierStokesFlow.ns_esa_of_farisLavine (H N : F →ₗ[ℂ] F) (c₁ c₂ : ℝ) (hsym : H.IsSymmetric)
(farisLavine : ∀ (H' N' : F →ₗ[ℂ] F) (a b : ℝ), H'.IsSymmetric →
(∀ v : F, ‖H' v‖ ≤ a * ‖N' v‖) →
(∀ v : F, ‖(inner ℂ v (H' (N' v) - N' (H' v)) : ℂ)‖ ≤ b * ‖(inner ℂ v (N' v) : ℂ)‖) →
HasZeroDeficiency H')
(hHbound : ∀ v : F, ‖H v‖ ≤ c₁ * ‖N v‖)
(hCommutator : ∀ v : F,
‖(inner ℂ v (H (N v) - N (H v)) : ℂ)‖ ≤ c₂ * ‖(inner ℂ v (N v) : ℂ)‖) :
HasZeroDeficiency H := by sorrySource