let IPP be 2-dimensional Desarguesian IncProjSp; for p, x being POINT of
for K, L being LINE of st not p on K & not p on L & x on K holds
(IncProj K,p,L) . x is POINT of
let p, x be POINT of ; for K, L being LINE of st not p on K & not p on L & x on K holds
(IncProj K,p,L) . x is POINT of
let K, L be LINE of ; ( not p on K & not p on L & x on K implies (IncProj K,p,L) . x is POINT of )
assume
( not p on K & not p on L & x on K )
; (IncProj K,p,L) . x is POINT of
then
x in dom (IncProj K,p,L)
by Def1;
hence
(IncProj K,p,L) . x is POINT of
by PARTFUN1:27; verum