reserve I for set,
  x,x1,x2,y,z for set,
  A for non empty set;
reserve C,D for Category;
reserve a,b,c,d for Object of C;
reserve f,g,h,i,j,k,p1,p2,q1,q2,i1,i2,j1,j2 for Morphism of C;
reserve f for Morphism of a,b,
        g for Morphism of b,a;
reserve g for Morphism of b,c;
reserve f,g for Morphism of C;

theorem Th35:
  b is terminal implies dom(term(a,b)) = a & cod(term(a,b)) = b
proof
  assume b is terminal;
  then Hom(a,b) <> {};
  hence thesis by CAT_1:5;
end;
