Assignment:
Show that equality of integers is an equivalence relation, that is show that equality of integers is reflexive, symmetric, and transitive. Recall two integers z=a--b, w=c--d, a, b, c, d belong to N (natural numbers) are equal if and only if a+d=b+c
where a--b and c--d are the set-theoretic interpretation of the symbol a--b is that it is the space of all pairs equivalent to (a,b): a--b is defined as {c,d) belong to NxN: (a,b)~(c,d)}
Provide complete and step by step solution for the question and show calculations and use formulas.