theorem
for
S being non
empty satisfying_Tarski-model satisfying_Lower_Dimension_Axiom TarskiGeometryStruct for
a,
b,
c,
d,
p,
q being
POINT of
S st
p in Line (
a,
b) &
q in Line (
a,
b) &
p <> q &
a <> b &
are_orthogonal c,
d,
p,
q holds
are_orthogonal c,
d,
a,
b by Prelim11;