theorem :: GRAPH_4:24

for G being Graph
for c1 being FinSequence holds
( ( c1 is oriented Simple Chain of G implies c1 is oriented simple Chain of G ) & ( c1 is oriented simple Chain of G implies c1 is oriented Simple Chain of G ) & ( c1 is oriented simple Chain of G implies c1 is OrientedPath of G ) ) by Th18, Th19, Th23;