theorem Th51: :: WELLORD1:51

for a, b, c being object
for R, S being Relation st R is well-ordering & S is well-ordering & a in field R & b in field S & c in field S & R,S |_2 (S -Seg b) are_isomorphic & R |_2 (R -Seg a),S |_2 (S -Seg c) are_isomorphic holds
( S -Seg c c= S -Seg b & [c,b] in S )