Let \( R \) be a relation on \( N \times N \) defined by \( (a, b) R(c, d) \Leftrightarrow a+d=b...

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Let \( R \) be a relation on \( N \times N \) defined by
\( (a, b) R(c, d) \Leftrightarrow a+d=b+c \) for all \( (a, b),(c, d) \in N \times N \)
Show that:
\( (a, b) R(a, b) \) for all \( (a, b) \in N \times N \)
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