 if \(C(A_1 ,\ldots ,A_n) \gt C(B_1 ,\ldots ,B_m)\), then  \(P(A_1\wedge \ldots \wedge A_n \mid \mathrm{Bel}_S A_1,\ldots,\mathrm{Bel}_{S}A_n) \gt\) \(P(B_1\wedge \ldots \wedge B_m \mid \mathrm{Bel}_S B_1,\ldots,\mathrm{Bel}_{S}B_m)\), 