theorem Th1:
for
FCPS being
up-3-dimensional CollProjectiveSpace for
a,
b,
c being
Element of
FCPS st
a,
b,
c are_collinear holds
(
b,
c,
a are_collinear &
c,
a,
b are_collinear &
b,
a,
c are_collinear &
a,
c,
b are_collinear &
c,
b,
a are_collinear )