It is the root of quantum mechanics that Heisenberg picture and Schrödinger picture are equivalent?
In most textbooks and wikipedia, the equivalence is proved with a time-independent Hamiltonian. However, some literature uses Heisenberg equation with time-dependent Hamiltonian.
$$i\hbar \frac{dA}{dt}~=~[A(t),H(t)]+i\hbar \frac{\partial A}{\partial t}.$$
So, does Heisenberg equation work with time-dependent Hamiltonian? If so, any proof?