theorem Th56:
for
P,
Q,
P1,
P2 being non
point_at_infty Element of
(ProjectiveSpace (TOP-REAL 3)) st
P <> Q &
P in BK_model &
Q in BK_model &
P1 in absolute &
P2 in absolute &
P1 <> P2 &
P,
Q,
P1 are_collinear &
P,
Q,
P2 are_collinear & not
between RP3_to_T2 Q,
RP3_to_T2 P,
RP3_to_T2 P1 holds
between RP3_to_T2 Q,
RP3_to_T2 P,
RP3_to_T2 P2