# Definition:Ordered Sum/General Definition

## Definition

Let $S_1, S_2, \ldots, S_n$ be tosets.

Then we define $T_n$ as the ordered sum of $S_1, S_2, \ldots, S_n$ as:

$\forall n \in \N_{>0}: T_n = \begin{cases} S_1 & : n = 1 \\ T_{n-1} + S_n & : n > 1 \end{cases}$