let Omega be non empty set ; :: thesis: for F being SigmaField of Omega
for RV being random_variable of F, Borel_Sets
for K being Real holds (Omega --> K) - RV is random_variable of F, Borel_Sets
let F be SigmaField of Omega; :: thesis: for RV being random_variable of F, Borel_Sets
for K being Real holds (Omega --> K) - RV is random_variable of F, Borel_Sets
let RV be random_variable of F, Borel_Sets ; :: thesis: for K being Real holds (Omega --> K) - RV is random_variable of F, Borel_Sets
let K be Real; :: thesis: (Omega --> K) - RV is random_variable of F, Borel_Sets
reconsider K = K as Element of REAL by XREAL_0:def 1;
Omega --> K is random_variable of F, Borel_Sets by FINANCE3:10, RANDOM_3:def 1;
hence (Omega --> K) - RV is random_variable of F, Borel_Sets by FINANCE2:24; :: thesis: verum