
premises
# TH_8
% for three lines and a plane which contains them all holds that
% if first and second are distinct and second and third are distinct 
% and first and second do not intersect and second and third do not intersect
% and if there exists a point which belongs to the plane and to the first
% and third line, then first and third line are equal

line(1)
line(2)
line(3)
point(4)
plane(5)
~eq_line(1,2)
~eq_line(2,3)
inc_l_pl(1,5)
inc_l_pl(2,5)
inc_l_pl(3,5)
~int_l_l(1,2)
~int_l_l(2,3)
inc_po_pl(4,5)
inc_po_l(4,1)
inc_po_l(4,3)

conclusions

eq_line(1,3)
