`BookProof.FourierMultiplierEsa.contDiff_foSymbolFn` (c : ι → ℝ) (w : ι → V) : ContDiff ℝ ((⊤ : ℕ∞) : WithTop ℕ∞) (foSymbolFn c w)
ProvedBookProof.FourierMultiplierEsa.contDiff_foSymbolFntheoremstimepiece
Prove the following Lean 4 theorem from ChapterFourierMultiplierEsa.
BookProof.FourierMultiplierEsa.contDiff_foSymbolFn (c : ι → ℝ) (w : ι → V) : ContDiff ℝ ((⊤ : ℕ∞) : WithTop ℕ∞) (foSymbolFn c w)
Formalization note: Lean 4 identifier BookProof.FourierMultiplierEsa.contDiff_foSymbolFn.
Preamble
-- Generated from ChapterFourierMultiplierEsa.lean — theorem BookProof.FourierMultiplierEsa.contDiff_foSymbolFn
import Definitions.Def_ChapterStrichartzWave
import Mathlib
import Definitions.Def_ChapterFourierMultiplierEsa
open BookProof.FourierMultiplierEsa
open MeasureTheory SchwartzMap FourierTransform ComplexInnerProductSpace LineDeriv
open BookProof.StrichartzWave
variable {V : Type*} [NormedAddCommGroup V] [InnerProductSpace ℝ V] [FiniteDimensional ℝ V]
[MeasurableSpace V] [BorelSpace V]
variable {ι : Type*} [Fintype ι]
omit [FiniteDimensional ℝ V] [MeasurableSpace V] [BorelSpace V] inFormal statement
theorem BookProof.FourierMultiplierEsa.contDiff_foSymbolFn (c : ι → ℝ) (w : ι → V) :
ContDiff ℝ ((⊤ : ℕ∞) : WithTop ℕ∞) (foSymbolFn c w) := by sorry