theorem Th71: :: GLIBPRE0:65

for G1 being _Graph
for G2 being removeDParallelEdges of G1
for v1 being Vertex of G1
for v2 being Vertex of G2 st v1 = v2 holds
( v2 .inNeighbors() = v1 .inNeighbors() & v2 .outNeighbors() = v1 .outNeighbors() & v2 .allNeighbors() = v1 .allNeighbors() )