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Mathematics
Problem
Define a relation
R
R
R
on
Z
\mathbb Z
Z
by
a
R
b
a\,R\,b
a
R
b
if and only if
a
−
b
a-b
a
−
b
is divisible by
6
6
6
. Prove that
R
R
R
is an equivalence relation on
Z
\mathbb Z
Z
.
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