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Mathematics
Mathematics
Problem
Show that the relation
R
R
R
in the set
Z
\mathbb{Z}
Z
of integers given by
R
=
{
(
a
,
b
)
:
2
divides
a
−
b
}
R = \{(a, b) : 2 \text{ divides } a - b\}
R
=
{(
a
,
b
)
:
2
divides
a
−
b
}
is an equivalence relation.
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