theorem Th29: :: PARSP_1:29

for PS being ParSp
for a, b, c being Element of PS st not a,b '||' a,c holds
( not a,c '||' a,b & not b,a '||' a,c & not a,b '||' c,a & not a,c '||' b,a & not b,a '||' c,a & not c,a '||' a,b & not c,a '||' b,a & not b,a '||' b,c & not a,b '||' b,c & not b,a '||' c,b & not b,c '||' b,a & not b,a '||' c,b & not c,b '||' b,a & not b,c '||' a,b & not c,b '||' a,b & not c,a '||' c,b & not a,c '||' c,b & not c,a '||' b,c & not a,c '||' b,c & not c,b '||' c,a & not b,c '||' c,a & not c,b '||' a,c & not b,c '||' a,c )