let V, W be non empty ModuleStr over INT.Ring ; for f being FrForm of V,W
for a being Element of F_Real
for v being Vector of V holds FrFunctionalFAF ((a * f),v) = a * (FrFunctionalFAF (f,v))
let f be FrForm of V,W; for a being Element of F_Real
for v being Vector of V holds FrFunctionalFAF ((a * f),v) = a * (FrFunctionalFAF (f,v))
let a be Element of F_Real; for v being Vector of V holds FrFunctionalFAF ((a * f),v) = a * (FrFunctionalFAF (f,v))
let w be Vector of V; FrFunctionalFAF ((a * f),w) = a * (FrFunctionalFAF (f,w))
hence
FrFunctionalFAF ((a * f),w) = a * (FrFunctionalFAF (f,w))
by FUNCT_2:63; verum