Question: Define a relation R on NN by (a,b)R(c,d) if and only if a+b=c+d. a) Prove that R is an equivalence relation on NN. b) Let

Define a relation R on NN by (a,b)R(c,d) if and only

Define a relation R on NN by (a,b)R(c,d) if and only if a+b=c+d. a) Prove that R is an equivalence relation on NN. b) Let S denote the set of equivalence classes of R. Show that there is a one-to-one and onto function from S to N

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