The Lean 4 theorem `hasZeroDeficiencyOn_of_completeUnitaryFlow` in the `ChapterNavierStokesEsa` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.hasZeroDeficiencyOn_of_completeUnitaryFlowtimepiece
The Lean 4 theorem hasZeroDeficiencyOn_of_completeUnitaryFlow in the ChapterNavierStokesEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesEsa.lean — theorem BookProof.NavierStokesFlow.hasZeroDeficiencyOn_of_completeUnitaryFlow
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_completeUnitaryFlow (D : Submodule ℂ F) (H : D →ₗ[ℂ] D)
(U : ℝ → F → F) (hdense : Dense (D : Set F)) (hnorm : ∀ (t : ℝ) (v : F), ‖U t v‖ = ‖v‖)
(hU0 : ∀ v : F, U 0 v = v) (hUD : ∀ (t : ℝ) (v : D), U t (v : F) ∈ D)
(hderiv : ∀ (v : D) (t : ℝ),
HasDerivAt (fun s => U s (v : F)) (Complex.I • (H ⟨U t (v : F), hUD t v⟩ : F)) t) :
HasZeroDeficiencyOn D H := by sorrySource