Prove that if a,b and (c) are elements of a group and class conjugation is indicated by

Question:

Prove that if a,b and $c$ are elements of a group and class conjugation is indicated by $\sim$, then (1) $a \sim a$, (2) if $a \sim b$, then $b \sim a$, and (3) if $a \sim b$ and $b \sim c$, then $a \sim c$. Thus conjugacy is an equivalence relation.

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