theorem Th49: :: GLIB_010:49

for G1, G2 being _Graph
for F being PGraphMapping of G1,G2 st F is weak_SG-embedding holds
( ( G2 is _trivial implies G1 is _trivial ) & ( G2 is non-multi implies G1 is non-multi ) & ( G2 is simple implies G1 is simple ) & ( G2 is _finite implies G1 is _finite ) )