Category:Definitions/Natural Number Addition

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This category contains definitions related to Natural Number Addition.
Related results can be found in Category:Natural Number Addition.

Let $\struct {P, 0, s}$ be a Peano structure.

The binary operation $+$ is defined on $P$ as follows:

$\forall m, n \in P: \begin{cases} m + 0 & = m \\ m + \map s n & = \map s {m + n} \end{cases}$

This operation is called addition.