:: deftheorem Def1 defines -exponent ORDINAL7:def 1 :
for A being Ordinal-Sequence
for b being Ordinal
for b3 being Ordinal-Sequence holds
( b3 = b -exponent A iff ( dom b3 = dom A & ( for a being object st a in dom A holds
b3 . a = b -exponent (A . a) ) ) );