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Arithmetic structure of natural numbers

Definition

$\langle \mathbb N,+,* \rangle$
$k,m,n\in \mathbb N$ $ m=k^+ $
$n + 0=n$
$n+m=n^+ + k$
$n * 0 = 0$
$n * m = n + (n * k) $
…todo substraction

Discussion

Context

Requirements

Refinement of

Element of

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