:: deftheorem defines CCauchy RSSPACE3:def 5 :
for NRM being non empty NORMSTR
for seqt being sequence of NRM holds
( seqt is CCauchy iff for r1 being Real st r1 > 0 holds
ex k1 being Nat st
for n1, m1 being Nat st n1 >= k1 & m1 >= k1 holds
dist ((seqt . n1),(seqt . m1)) < r1 );