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_Union ASeq) is non-decreasing

let Sigma be SigmaField of Omega; :: thesis: for ASeq being SetSequence of Sigma

for P being Probability of Sigma holds P * (Partial_Union ASeq) is non-decreasing

let ASeq be SetSequence of Sigma; :: thesis: for P being Probability of Sigma holds P * (Partial_Union ASeq) is non-decreasing

let P be Probability of Sigma; :: thesis: P * (Partial_Union ASeq) is non-decreasing

Partial_Union ASeq is V75() by Th11;

hence P * (Partial_Union ASeq) is non-decreasing by Th6; :: thesis: verum

for ASeq being SetSequence of Sigma

for P being Probability of Sigma holds P * (Partial_Union ASeq) is non-decreasing

let Sigma be SigmaField of Omega; :: thesis: for ASeq being SetSequence of Sigma

for P being Probability of Sigma holds P * (Partial_Union ASeq) is non-decreasing

let ASeq be SetSequence of Sigma; :: thesis: for P being Probability of Sigma holds P * (Partial_Union ASeq) is non-decreasing

let P be Probability of Sigma; :: thesis: P * (Partial_Union ASeq) is non-decreasing

Partial_Union ASeq is V75() by Th11;

hence P * (Partial_Union ASeq) is non-decreasing by Th6; :: thesis: verum