Singleton Relation || Transitive Properties of Singleton Relation

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How to prove that a singleton relation is transitive?
Proving that a singleton relation is transitive.
Is the relation on a singleton set an equivalence relation?
Prove that the every singleton relation is transitive but not symmetric and reflexive.
Prove that the every singleton relation is transitive.
Every singleton relation is transitive proof.
Is singleton relation equivalence?
Is the singleton a function?
Can singleton set be an example for transitive or symmetric relation?
Properties of relation.
Is singleton relation symmetric?
Is singleton relation reflexive?
Can a relation be transitive with only one ordered pair?
Is {1,2} a transitive relation?
Is a relation with one ordered pair always anti-symmetric?
What are the example of transitive relations?
Can a singleton set be a transitive relation on a set?
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Thank u sir.
There is this dude that was so firm on his belief that transitive is only possible with at least 3 elements and asked for a mathematical proof when I said he was wrong. And he is like 3 times my age so I can't even argue back but I didn't knew how to prove it cause I never like proving the obvious until it's for test but he hit the nerve and I was searching for something like this ever since.

So really thank you sir.

ChandanSingh-jsvt