Equality of Ordered Tuples/Examples/Ordered Triple

Example of Equality of Ordered Tuples
Let:
 * $\tuple {a_1, a_2, a_3}$ and $\tuple {b_1, b_2, b_3}$

be ordered triples.

Then:
 * $\tuple {a_1, a_2, a_3} = \tuple {b_1, b_2, b_3}$


 * $\forall i \in \set {1, 2, 3}: a_i = b_i$
 * $\forall i \in \set {1, 2, 3}: a_i = b_i$