root / CSL17 / soundness.tex @ 168
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1 | 166 | adas | \section{Soundness} |
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2 | 168 | adas | \label{sect:soundness} |
3 | 168 | adas | |
4 | 168 | adas | The main result of this section is the following: |
5 | 168 | adas | |
6 | 168 | adas | \begin{theorem} |
7 | 168 | adas | If $\arith^i$ proves $\forall \vec u^\normal . \forall \vec x^\safe . \exists y^\safe . A(\vec u ; \vec x , y)$ then there is a $\mubci{i-1}$ program $f(\vec u ; \vec x)$ such that $\Nat \models A(\vec u ; \vec x , f(\vec u ; \vec x))$. |
8 | 168 | adas | \end{theorem} |