Transitive
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Formal Definition
If $a \mathscr{R}\ b$ and $b \mathscr{R}\ c$ then $a \mathscr{R}\ c$
Informal Definition
If a in a set $S$ has a relation to b in that same set and b has a relation with c that is also in the set $S$, then a has a relation to c.
Example(s)
Reference HW2 Problem 1
Non-example(s)
Reference HW2 Problem 14 because the problem doesn't hold under the transitive property.
Additional Comments
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