:: deftheorem Def16 defines continuous GLIB_010:def 16 :
for G1, G2 being _Graph
for F being PGraphMapping of G1,G2 holds
( F is continuous iff for e9, v, w being object st v in dom (F _V) & w in dom (F _V) & e9 Joins (F _V) . v,(F _V) . w,G2 holds
ex e being object st
( e Joins v,w,G1 & e in dom (F _E) & (F _E) . e = e9 ) );