for CPS being CollProjectiveSpace st ( for p1, r2, q, r1, q1, p, r being Point of CPS st p1,r2,q are_collinear & r1,q1,q are_collinear & p1,r1,p are_collinear & r2,q1,p are_collinear & p1,q1,r are_collinear & r2,r1,r are_collinear & p,q,r are_collinear & not p1,r2,q1 are_collinear & not p1,r2,r1 are_collinear & not p1,r1,q1 are_collinear holds
r2,r1,q1 are_collinear ) holds
for p, q, r, s, a, b, c being POINT of (IncProjSp_of CPS)
for L, Q, R, S, A, B, C being LINE of (IncProjSp_of CPS) st not q on L & not r on L & not p on Q & not s on Q & not p on R & not r on R & {a,p,s} on L & {a,q,r} on Q & {b,q,s} on R & {b,p,r} on S & {c,p,q} on A & {c,r,s} on B & {a,b} on C holds
not c on C