The Lean 4 theorem `field_evaluates_to_value` in the `ChapterNavierStokesFlow` chapter of the timepiece formalization
ProvedBookProof.NavierStokesFlow.field_evaluates_to_valuetimepiece
The Lean 4 theorem field_evaluates_to_value in the ChapterNavierStokesFlow chapter of the timepiece formalization.
Preamble
-- Generated from ChapterNavierStokesFlow.lean — theorem BookProof.NavierStokesFlow.field_evaluates_to_value
import Mathlib
import Definitions.Def_ChapterNavierStokesFlow
open BookProof.NavierStokesFlow
open scoped BigOperators Matrix Kronecker ComplexOrder TensorProduct
variable {E : Type*} [AddCommGroup E] [Module ℂ E] {ι : Type*} [Fintype ι]Formal statement
theorem BookProof.NavierStokesFlow.field_evaluates_to_value (phi : E →ₗ[ℂ] E) (phiD : ι → E →ₗ[ℂ] E)
(X : ι → E →ₗ[ℂ] E) (x : ι → ℂ) (v : E) (hv : ∀ i, X i v = x i • v) :
fieldTaylor phi phiD X x v = phi v := by sorrySource