let Omega be non empty set ; 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; 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 ; for K being Real holds RV - (Omega --> K) is random_variable of Sigma, Borel_Sets
let K be Real; 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, RANDOM_3:def 1;
hence
RV - (Omega --> K) is random_variable of Sigma, Borel_Sets
by FINANCE2:24; verum