The Lean 4 theorem `lagrangian_velocity` in the `ChapterNavierStokesFlow` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.lagrangian_velocitytimepiece
The Lean 4 theorem lagrangian_velocity in the ChapterNavierStokesFlow chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesFlow.lean — theorem BookProof.NavierStokesFlow.lagrangian_velocity import Mathlib import Definitions.Def_ChapterNavierStokesFlow open BookProof.NavierStokesFlow open scoped BigOperators Matrix Kronecker ComplexOrder TensorProduct
Formal statement
theorem BookProof.NavierStokesFlow.lagrangian_velocity {d : ℕ} (X : ℝ → Fin d → ℝ) (u : (Fin d → ℝ) → Fin d → ℝ)
(h : ∀ t i, HasDerivAt (fun s => X s i) (u (X t) i) t) (t : ℝ) (i : Fin d) :
deriv (fun s => X s i) t = u (X t) i := by sorrySource