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`BookProof.DampedOscillatorEnergy.hasDerivAt_coupledEnergy` {lam1 lam2 omega1 omega2 c : ℝ} {x1 x2 v1 v2 a1 a2 : ℝ → ℝ} (hx1 : ∀ t, HasDerivAt x1 (v1 t) t) (hx2 : ∀ t, HasDerivAt x · Prove2Me