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  "body": "\n## Statement\n\nLet $S \\colon \\mathbb{N} \\to \\mathbb{N}$ be the [[successor function|0832XVR512]] of the natural numbers.\nFor all natural numbers $m$ and $n$, if $S(m) = S(n)$, then $m = n$.\n\n## Remarks\n\nThis is one of the [[Peano axioms|0QFT7Z76N5]]. In a construction of $\\mathbb{N}$, for example in set theory, it is a theorem.\nAn equivalent form is: if $m \\neq n$, then $m + 1 \\neq n + 1$.\n\n## Explanations\n\n### L1 human\n\nTwo different numbers never have the same next number.\nIf you know the number after $n$, then you know $n$.\n",
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