i am stuck in this problem. i need to find two right-inverse functions of this function:
$h: \Bbb N_0\times \Bbb N \to \Bbb N, (m,n)\mapsto m+n$.
i know that the function h' is a right inverse of a function h if and only if:
$h \circ h' = m+n$.
how can i say this in mathematical way and as for the h function given above? i did this:
$h': \Bbb N->\Bbb N_0\times\Bbb N, m+n\mapsto (m,n)$. $h \circ h' = h(h'(m+n))=m+n$
but now from here, i dont know how to finish the proof and how to show another right-inverse function of h
thanks for help in advance