Original sentence: Since we would like, if possible, to have only one identity map, we can try to identify  in this case.To see how far we can get with this definition, we will try to define the composition of two rational maps  with
Edited sentence: Since we would like, if possible, to have only one identity map, we can try to identify ,  in this case.To see how far we can get with this definition, we will try to define the composition of two rational maps ,  with