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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 ....