:: deftheorem Def1 defines Edges_In GRAPH_3:def 1 :
for G being Graph
for v being Vertex of G
for X being set
for b4 being Subset of the carrier' of G holds
( b4 = Edges_In (v,X) iff for e being set holds
( e in b4 iff ( e in the carrier' of G & e in X & the Target of G . e = v ) ) );