The Lean 4 theorem `integral_conj_secondDeriv_comm` in the `ChapterSchrodingerCutoffEsa` chapter of the timepiece formalization

-- Generated from ChapterSchrodingerCutoffEsa.lean — theorem BookProof.SchrodingerCutoff.integral_conj_secondDeriv_comm
import Mathlib
import Definitions.Def_ChapterSchrodingerCutoffEsa
open BookProof.SchrodingerCutoff



open MeasureTheory Filter Complex

theorem BookProof.SchrodingerCutoff.integral_conj_secondDeriv_comm
    (f g f' f'' g' g'' : ℝ → ℂ)
    (hf1 : ∀ x, HasDerivAt f (f' x) x) (hf2 : ∀ x, HasDerivAt f' (f'' x) x)
    (hg1 : ∀ x, HasDerivAt g (g' x) x) (hg2 : ∀ x, HasDerivAt g' (g'' x) x)
    (hf''c : Continuous f'') (hg''c : Continuous g'')
    (hfs : HasCompactSupport f) (hgs : HasCompactSupport g) :
    (∫ x, (starRingEnd ℂ) (f'' x) * g x) = ∫ x, (starRingEnd ℂ) (f x) * g'' x := by sorry