theorem Th16:
for
x,
y,
z being
set holds
(
x in the
carrier of
(GFA0CarryStr (x,y,z)) &
y in the
carrier of
(GFA0CarryStr (x,y,z)) &
z in the
carrier of
(GFA0CarryStr (x,y,z)) &
[<*x,y*>,and2] in the
carrier of
(GFA0CarryStr (x,y,z)) &
[<*y,z*>,and2] in the
carrier of
(GFA0CarryStr (x,y,z)) &
[<*z,x*>,and2] in the
carrier of
(GFA0CarryStr (x,y,z)) &
[<*[<*x,y*>,and2],[<*y,z*>,and2],[<*z,x*>,and2]*>,or3] in the
carrier of
(GFA0CarryStr (x,y,z)) )