:: deftheorem Def2 defines RedSequence REWRITE1:def 2 :
for R being Relation
for b2 being FinSequence holds
( b2 is RedSequence of R iff ( len b2 > 0 & ( for i being Nat st i in dom b2 & i + 1 in dom b2 holds
[(b2 . i),(b2 . (i + 1))] in R ) ) );