let Omega be non empty set ; :: thesis: for Sigma being SigmaField of Omega
for ASeq being SetSequence of Sigma
for P being Probability of Sigma holds P * (Partial_Intersection ASeq) is non-increasing
let Sigma be SigmaField of Omega; :: thesis: for ASeq being SetSequence of Sigma
for P being Probability of Sigma holds P * (Partial_Intersection ASeq) is non-increasing
let ASeq be SetSequence of Sigma; :: thesis: for P being Probability of Sigma holds P * (Partial_Intersection ASeq) is non-increasing
let P be Probability of Sigma; :: thesis: P * (Partial_Intersection ASeq) is non-increasing
Partial_Intersection ASeq is non-ascending by Th10;
hence P * (Partial_Intersection ASeq) is non-increasing by Th7; :: thesis: verum