  We generalize the Poletsky disc envelope formula for the function $\sup \{u
\in \PSH(X,\omega) ; u\leq \phi\}$ on any complex manifold $X$ to the case
where the real (1,1)-current $\omega=\omega_1-\omega_2$ is the difference of
two positive closed (1,1)-currents and $\phi$ is the difference of an
$\omega_1$-upper semicontinuous function and a plurisubharmonic function.
