The Lean 4 theorem `hasZeroDeficiencyOn_of_bounded_symmetric` in the `ChapterNavierStokesEsa` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.hasZeroDeficiencyOn_of_bounded_symmetrictimepiece
The Lean 4 theorem hasZeroDeficiencyOn_of_bounded_symmetric in the ChapterNavierStokesEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesEsa.lean — theorem BookProof.NavierStokesFlow.hasZeroDeficiencyOn_of_bounded_symmetric
import Mathlib
import Definitions.Def_ChapterNavierStokesEsa
open BookProof.NavierStokesFlow
open scoped Matrix
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]Formal statement
theorem BookProof.NavierStokesFlow.hasZeroDeficiencyOn_of_bounded_symmetric (A : F →L[ℂ] F)
(hsym : (A : F →ₗ[ℂ] F).IsSymmetric) (D : Submodule ℂ F) (hdense : Dense (D : Set F))
(hinv : ∀ v : D, A (v : F) ∈ D) :
HasZeroDeficiencyOn D
(LinearMap.codRestrict D ((A : F →ₗ[ℂ] F).comp D.subtype) fun v => hinv v) := by sorrySource