theorem Th37: :: GLIB_009:37

for G1 being _Graph
for G2 being spanning Subgraph of G1 st ( for v1 being Vertex of G1
for v2 being Vertex of G2 st v1 = v2 holds
G1 .reachableFrom v1 = G2 .reachableFrom v2 ) holds
G1 .componentSet() = G2 .componentSet()