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The Lean 4 theorem `nsFlow_noBlowup` in the `ChapterNavierStokesFlow` chapter of the timepiece formalization

Proved
BookProof.NavierStokesFlow.nsFlow_noBlowup

by leonardopedro · Oct 2, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

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 TensorProduct
Formal 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 sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterNavierStokesFlow.lean

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