theorem FlatNormal:
for
S being
satisfying_Tarski-model TarskiGeometryStruct for
c,
d,
e,
d9 being
POINT of
S st
between d,
e,
d9 &
c,
d9 equiv c,
d &
d,
e equiv d9,
e &
c <> d &
e <> d holds
ex
p,
r,
q being
POINT of
S st
(
between p,
r,
q &
between r,
c,
d9 &
between e,
c,
p &
r,
c,
p cong r,
c,
q &
r,
c equiv e,
c &
p,
r equiv d,
e )