
theorem Th40:
  for C being concrete category
  for a,b being Object of C st <^a,b^> <> {} & <^b,a^> <> {}
  for f being Morphism of a,b st f is iso
  holds f is one-to-one & rng f = the_carrier_of b
by ALTCAT_3:5,Th38,Th39;
