reserve A,B,C for Category,
  F,F1 for Functor of A,B;
reserve o,m for set;
reserve t for natural_transformation of F,F1;

theorem Th29:
  for F being Functor of A,B, G being Functor of A,C holds Pr1<:F,
  G:> = F & Pr2<:F,G:> = G
by FUNCT_3:62;
