theorem Th39:
for
V being
RealLinearSpace for
w,
y being
VECTOR of
V st
Gen w,
y holds
for
u,
u9,
u1,
u2,
t1,
t2 being
VECTOR of
V st
u <> u9 &
u,
u9,
u1,
t1 are_DTr_wrt w,
y &
u,
u9,
u2,
t2 are_DTr_wrt w,
y holds
u,
u9,
u1 # u2,
t1 # t2 are_DTr_wrt w,
y