Formula_12208

\[\begin{gathered}\{f g, h\}=\{f, h\} g+f\{g, h\} ; \\\frac{\partial}{\partial t}\{f, g\}=\left\{\frac{\partial f}{\partial t}, g\right\}+\left\{f, \frac{\partial g}{\partial t}\right\} ; \\\{f,\{g, h\}\}+\{h,\{f, g\}\}+\{g,\{h, f\}\} \equiv 0\end{gathered}\]