Claim:⟦a⟧=⟦b⟧ if and only if aRb

Claim (see proof):

If [math]R [/math] is an equivalence relation on [math]A [/math], then [math]\href{/cs2800/wiki/index.php/%E2%9F%A6a%E2%9F%A7}{⟦a⟧}_R = ⟦b⟧_R [/math] if and only if [math]\href{/cs2800/wiki/index.php/XRy}{aRb} [/math].