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  text: 'A [ logical theory] $T$ is said to satisfy the **representability theorem for computable functions** if for every [ computable function] $f:\\mathbb{N}\\mapsto\\mathbb{N}$ there exists a two-place formula $\\phi_f(x,y)$ in the [ language] of $T$ such that for all $n\\in \\mathbb{N}$ we have that $T\\vdash \\forall y\\ \\phi_f(\\textbf n,y)\\leftrightarrow y=\\textbf{f(n)}$.',
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