The truth function as given by Gentzen says if $(A\wedge B\wedge ...)$ then $
(D\vee E\vee ...)$. Often this is just written as: if $(A,B,...)$ then $
(D,E,...)$. or formally as $(A\wedge B\wedge ...)\vdash (D\vee E\vee ...)$.
This is read as $A$ and $B$ and ... \textbf{proves} $D$ or $E$ or ....