for G1 being _Graph
for G2 being Subgraph of G1
for v1 being Vertex of G1
for v2 being Vertex of G2 st v1 = v2 holds
( v2 .edgesIn() = (v1 .edgesIn()) /\ (the_Edges_of G2) & v2 .edgesOut() = (v1 .edgesOut()) /\ (the_Edges_of G2) & v2 .edgesInOut() = (v1 .edgesInOut()) /\ (the_Edges_of G2) )