theorem :: YELLOW_7:43

for S, T being non empty RelStr
for f being set holds
( ( f is Connection of S,T implies f is Connection of S ~ ,T ) & ( f is Connection of S ~ ,T implies f is Connection of S,T ) & ( f is Connection of S,T implies f is Connection of S,T ~ ) & ( f is Connection of S,T ~ implies f is Connection of S,T ) & ( f is Connection of S,T implies f is Connection of S ~ ,T ~ ) & ( f is Connection of S ~ ,T ~ implies f is Connection of S,T ) )