The Lean 4 theorem `farisLavine_without_symmetry_forces_trivial` in the `ChapterNavierStokesFlow` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.farisLavine_without_symmetry_forces_trivialtimepiece
The Lean 4 theorem farisLavine_without_symmetry_forces_trivial in the ChapterNavierStokesFlow chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesFlow.lean — theorem BookProof.NavierStokesFlow.farisLavine_without_symmetry_forces_trivial
import Mathlib
import Definitions.Def_ChapterNavierStokesFlow
open BookProof.NavierStokesFlow
open scoped BigOperators Matrix Kronecker ComplexOrder TensorProduct
variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]Formal statement
theorem BookProof.NavierStokesFlow.farisLavine_without_symmetry_forces_trivial
(crit : ∀ (H' N' : F →ₗ[ℂ] F) (a b : ℝ),
(∀ v : F, ‖H' v‖ ≤ a * ‖N' v‖) →
(∀ v : F, ‖(inner ℂ v (H' (N' v) - N' (H' v)) : ℂ)‖ ≤ b * ‖(inner ℂ v (N' v) : ℂ)‖) →
HasZeroDeficiency H') (v : F) : v = 0 := by sorrySource