theorem Th58: :: CHORD:59

for G1, G2 being _Graph st G1 == G2 holds
for u1 being Vertex of G1
for u2 being Vertex of G2 st u1 = u2 holds
for H1 being AdjGraph of G1,{u1}
for H2 being AdjGraph of G2,{u2} holds H1 == H2