let Omega be non empty set ; :: thesis: for Sigma being SigmaField of Omega
for RV being random_variable of Sigma, Borel_Sets
for K being Real holds RV - (Omega --> K) is random_variable of Sigma, Borel_Sets

let Sigma be SigmaField of Omega; :: thesis: for RV being random_variable of Sigma, Borel_Sets
for K being Real holds RV - (Omega --> K) is random_variable of Sigma, Borel_Sets

let RV be random_variable of Sigma, Borel_Sets ; :: thesis: for K being Real holds RV - (Omega --> K) is random_variable of Sigma, Borel_Sets
let K be Real; :: thesis: RV - (Omega --> K) is random_variable of Sigma, Borel_Sets
reconsider KK = K as Element of REAL by XREAL_0:def 1;
Omega --> KK is random_variable of Sigma, Borel_Sets by 1A5;
hence RV - (Omega --> K) is random_variable of Sigma, Borel_Sets by FINANCE2:24; :: thesis: verum