Definition:Sequence/Equality
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Definition
Let $f$ and $g$ be two sequences on the same set $A$:
- $f = \left\langle{a_k}\right\rangle_{k \mathop \in A}$
- $g = \left\langle{b_k}\right\rangle_{k \mathop \in B}$
Then $f = g$ if and only if:
- $A = B$
- $\forall i \in A: a_i = b_i$