The Lean 4 theorem `nsFlow_noBlowup` in the `ChapterNavierStokesFlow` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.nsFlow_noBlowuptimepiece
The Lean 4 theorem nsFlow_noBlowup in the ChapterNavierStokesFlow chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesFlow.lean — theorem BookProof.NavierStokesFlow.nsFlow_noBlowup
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)
open scoped BigOperators Matrix Kronecker ComplexOrder TensorProductFormal statement
theorem BookProof.NavierStokesFlow.nsFlow_noBlowup (t : ℝ) (psi : Fin n → ℂ) (k : Fin n) :
‖(nsFlowUnitary d t *ᵥ psi) k‖ ^ 2 ≤ ∑ a, ‖psi a‖ ^ 2 := by sorrySource