The Lean 4 theorem `nsHamiltonian_hasZeroDeficiency` in the `ChapterNavierStokesFlow` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.nsHamiltonian_hasZeroDeficiencytimepiece
The Lean 4 theorem nsHamiltonian_hasZeroDeficiency in the ChapterNavierStokesFlow chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesFlow.lean — theorem BookProof.NavierStokesFlow.nsHamiltonian_hasZeroDeficiency
import Mathlib
import Definitions.Def_ChapterNavierStokesFlow
import Definitions.Def_ChapterNavierStokesAffineFiberEsa
open BookProof.NavierStokesFlow
variable {E : Type*} [AddCommGroup E] [Module ℂ E] {ι : Type*} [Fintype ι]
variable {n : ℕ} (L : LagrangianNS n)
variable {n : ℕ} (d : NSTruncation n)
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
open scoped BigOperators Matrix Kronecker ComplexOrder TensorProductFormal statement
theorem BookProof.NavierStokesFlow.nsHamiltonian_hasZeroDeficiency :
HasZeroDeficiency (Matrix.toEuclideanLin (nsHamiltonian d)) := by sorrySource