:: deftheorem Def5 defines GoCross_Partial_Union FINANCE2:def 3 :
for k being Nat
for pm being Element of REAL
for b3 being SetSequence of REAL holds
( b3 = GoCross_Partial_Union (pm,k) iff ( b3 . 0 = (GoCross_Seq_REAL (pm,k)) . 0 & ( for n being Nat holds b3 . (n + 1) = (b3 . n) \/ ((GoCross_Seq_REAL (pm,k)) . (n + 1)) ) ) );