Exercise
75
[1YH] Consider \(A=β^ 2\) and consider the relations
\[ (x,y)βΌ (x',y') \iff ( x-x'ββ€β§ y-y'ββ€) \]
between elements of \(β^ 2\)Β :
show that it is an equivalence relation;
graphically represent equivalence classes;
describe the set \(A/βΌ\).