The Lean 4 theorem `nsFlowEuclidean_hasDerivAt` in the `ChapterNavierStokesEsa` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.nsFlowEuclidean_hasDerivAttimepiece
The Lean 4 theorem nsFlowEuclidean_hasDerivAt in the ChapterNavierStokesEsa chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesEsa.lean — theorem BookProof.NavierStokesFlow.nsFlowEuclidean_hasDerivAt
import Mathlib
import Definitions.Def_ChapterNavierStokesEsa
open BookProof.NavierStokesFlow
open scoped Matrix
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]
variable {ι : Type*}
open BookProof.ChapterContinuityUnitaryInfinite
variable {n : ℕ} (d : NSTruncation n)Formal statement
theorem BookProof.NavierStokesFlow.nsFlowEuclidean_hasDerivAt (psi : EuclideanSpace ℂ (Fin n)) (t : ℝ) :
HasDerivAt (fun s : ℝ => nsFlowEuclidean d s psi)
(Complex.I • Matrix.toEuclideanLin (nsHamiltonian d) (nsFlowEuclidean d t psi)) t := by sorrySource