$$⟨\psi \mid \mathcal{\text{𝒯}}\{\frac{\delta }{\delta \varphi }F[\varphi ]\}\mid \psi ⟩=-\mathrm{\text{i}}⟨\psi \mid \mathcal{\text{𝒯}}\{F[\varphi ]\frac{\delta }{\delta \varphi }S[\varphi ]\}\mid \psi ⟩$$