theorem Th35: :: GLIB_009:35

for G1 being _Graph
for G2 being Subgraph of G1 st ( for W1 being Walk of G1 ex W2 being Walk of G2 st W2 is_Walk_from W1 .first() ,W1 .last() ) holds
for v1 being Vertex of G1
for v2 being Vertex of G2 st v1 = v2 holds
G1 .reachableFrom v1 = G2 .reachableFrom v2