theorem Th41:
for
V being
RealLinearSpace for
w,
y,
u,
u9,
u1,
u2,
v1,
v2,
t1,
t2,
w1,
w2 being
VECTOR of
V st
Gen w,
y &
u <> u9 &
u,
u9,
u1,
t1 are_DTr_wrt w,
y &
u,
u9,
u2,
t2 are_DTr_wrt w,
y &
u,
u9,
v1,
w1 are_DTr_wrt w,
y &
u,
u9,
v2,
w2 are_DTr_wrt w,
y &
u1,
u2,
v1,
v2 are_DTr_wrt w,
y holds
t1,
t2,
w1,
w2 are_DTr_wrt w,
y