theorem Th38:
for
S being
OAffinSpace for
AS being non
empty AffinStruct st
AS = Lambda S holds
for
a,
b,
c,
d being
Element of
S for
a9,
b9,
c9,
d9 being
Element of
AS st
a = a9 &
b = b9 &
c = c9 &
d = d9 holds
(
a9,
b9 // c9,
d9 iff
a,
b '||' c,
d )