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On the set of Z of integers define a relation by writing m \triangleright n for m, n \in Z.
m\trianglerightn if m-n is divisble by k, where k is a fixed integer.
Show that the quotient set under this equivalence relation is:
Z/\triangleright = {[0], [1], ... [k-1]}
I'm a bit new the subject of Set Theory so I'm a bit unsure as to how to go about solving this.
m\trianglerightn if m-n is divisble by k, where k is a fixed integer.
Show that the quotient set under this equivalence relation is:
Z/\triangleright = {[0], [1], ... [k-1]}
I'm a bit new the subject of Set Theory so I'm a bit unsure as to how to go about solving this.
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