theorem Th73: :: GLIB_012:73

for G1 being _Graph
for G2 being LGraphComplement of G1 holds
( ( G1 is _trivial implies G2 is _trivial ) & ( G2 is _trivial implies G1 is _trivial ) & ( G1 is loopfull implies G2 is loopless ) & ( G2 is loopless implies G1 is loopfull ) & ( G1 is loopless implies G2 is loopfull ) & ( G2 is loopfull implies G1 is loopless ) )