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example types

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Alain Emilia Anna Zscheile 2024-07-12 13:25:50 +02:00
parent 641b6d1870
commit 2a1b1a2ba9
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docs/roqfy.tex
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@ -6,7 +6,7 @@
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{unicode-math}
\usepackage{bussproofs}
\usepackage{ebproof}
\usepackage{todonotes}
\setuptodonotes{size=\tiny}
@ -19,6 +19,36 @@
\begin{document}
\maketitle
\section{Types}
\[
\begin{prooftree}
\infer0{\vdash 0 : \text{Int}}
\end{prooftree}
\\
\begin{prooftree}
\hypo{Γ \vdash n : \text{Int}}
\hypo{Γ \vdash m : \text{Int}}
\infer2{Γ \vdash n \text{ + } m : \text{Int}}
\end{prooftree}
\\
\begin{prooftree}
\hypo{Γ \vdash n : \text{Int}}
\hypo{Γ \vdash m : \text{Int}}
\infer2{Γ \vdash n \text{ * } m : \text{Int}}
\end{prooftree}
\]
\[
\begin{prooftree}
\infer0{\vdash \text{o} : \text{\{\}}}
\end{prooftree}
\\
\begin{prooftree}
\hypo{Γ, (T_i : \text{Type})_i^* \vdash v : \{ x_i : T_i \}_i}
\hypo{Γ, T : \text{Type} \vdash y : T}
\infer2{Γ, (T_i : \text{Type})_i^*, T : \text{Type} \vdash v \text{ // } x_y = y : \{ x_i : T_i \} - x_y \cup \{ x_y : T \}}
\end{prooftree}
\]
\end{document}