The Lean 4 theorem `volume_preservation_constraint` in the `ChapterNavierStokesFlow` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.volume_preservation_constrainttimepiece
The Lean 4 theorem volume_preservation_constraint in the ChapterNavierStokesFlow chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesFlow.lean — theorem BookProof.NavierStokesFlow.volume_preservation_constraint import Mathlib import Definitions.Def_ChapterNavierStokesFlow open BookProof.NavierStokesFlow open scoped BigOperators Matrix Kronecker ComplexOrder TensorProduct
Formal statement
theorem BookProof.NavierStokesFlow.volume_preservation_constraint {d : ℕ} (f : (Fin d → ℝ) →ₗ[ℝ] (Fin d → ℝ))
(hdet : LinearMap.det f = 1) (s : Set (Fin d → ℝ)) :
MeasureTheory.volume (f '' s) = MeasureTheory.volume s := by sorrySource