theorem A5:
for
S being
satisfying_Tarski-model TarskiGeometryStruct for
a,
b,
c,
x,
a9,
b9,
c9,
x9 being
POINT of
S st
a <> b &
a,
b,
c cong a9,
b9,
c9 &
between a,
b,
x &
between a9,
b9,
x9 &
b,
x equiv b9,
x9 holds
c,
x equiv c9,
x9