let Omega be non empty set ; :: thesis: for Sigma being SigmaField of Omega
for A being Event of Sigma
for P being Probability of Sigma holds P . A <= 1
let Sigma be SigmaField of Omega; :: thesis: for A being Event of Sigma
for P being Probability of Sigma holds P . A <= 1
let A be Event of Sigma; :: thesis: for P being Probability of Sigma holds P . A <= 1
let P be Probability of Sigma; :: thesis: P . A <= 1
P . ([#] Sigma) = 1 by Def8;
hence P . A <= 1 by Th34; :: thesis: verum