$$R = \{(0,1), (0,2)\}$$
I drew out a directed graph; however, I still do not see how this relation is transitive. If $0$ was reflexive, then it is transitive; however, that is clearly not the case here.
2026-04-06 22:40:04.1775515204
How is this relation transitive?
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This relation is vacuously transitive as there is no case where $(a,b)\in R$ and $(b,c)\in R$ so the hypothesis for transitivity is never satisfied.