let r be Complex; :: thesis: for f1, f2 being complex-valued Function holds r (#) (f1 - f2) = (r (#) f1) - (r (#) f2)
let f1, f2 be complex-valued Function; :: thesis: r (#) (f1 - f2) = (r (#) f1) - (r (#) f2)
r (#) (- f2) = - (r (#) f2) by T2;
hence r (#) (f1 - f2) = (r (#) f1) - (r (#) f2) by T111; :: thesis: verum