From 80fd33db027d0adcd441074b30728d21cfb15860 Mon Sep 17 00:00:00 2001 From: Enrico Tassi Date: Thu, 2 Feb 2006 11:44:44 +0000 Subject: [PATCH] more style fixes --- helm/papers/system_T/t.tex | 35 ++++++++++++++++++----------------- 1 file changed, 18 insertions(+), 17 deletions(-) diff --git a/helm/papers/system_T/t.tex b/helm/papers/system_T/t.tex index 42b937bf2..a3f08cd5a 100644 --- a/helm/papers/system_T/t.tex +++ b/helm/papers/system_T/t.tex @@ -179,23 +179,24 @@ informative part of the algorithms. {\bf Inference Rules} say that ax:AX refers to the previous Axioms list... -\begin{table}[!h] -\hrule\vspace{0.1cm} -\begin{tabular}{p{0.34\textwidth}r} - $\Gamma, x:A, \Delta \vdash x:A$ & $(Proj)$\\ - $\Gamma \vdash ax : AX$ & $(Const)$\\ - $\frac{\Gamma,x:A \vdash M:Q}{\Gamma \vdash \lambda x:A.M: A \to Q}$ & - $(\to_i)$\\ - $\frac{\Gamma \vdash M: A \to Q \hspace{0.5cm}\Gamma \vdash N: A} - {\Gamma \vdash M N: Q}$ & $(\to_e)$\\ - $\frac{\Gamma \vdash M:P}{\Gamma \vdash \lambda x:\N.M: \forall x.P}(*)$ & - $(\forall_i)$\\ - $\frac{\Gamma \vdash M :\forall x.P}{\Gamma \vdash M t: P[t/x]}$ & - $(\forall_e)$ -\end{tabular}\vspace{0.1cm} -\hrule -\caption{\label{tab:HArules}Inference rules} -\end{table}{lr} +%\begin{table}[!h] +%\hrule\vspace{0.1cm} +%\begin{tabular}{p{0.34\textwidth}r} + + $$\Gamma, x:A, \Delta \vdash x:A ~~~ (Proj)$$ + $$ \Gamma \vdash ax : AX~~~ (Const)$$ + $$\frac{\Gamma,x:A \vdash M:Q}{\Gamma \vdash \lambda x:A.M: A \to Q} ~~~ (\to_i)$$ + $$\frac{\Gamma \vdash M: A \to Q \hspace{0.5cm}\Gamma \vdash N: A} + {\Gamma \vdash M N: Q} ~~~ (\to_e)$$ + $$\frac{\Gamma \vdash M:P}{\Gamma \vdash \lambda x:\N.M: \forall x.P}(*) ~~~ + (\forall_i)$$ + $$\frac{\Gamma \vdash M :\forall x.P}{\Gamma \vdash M t: P[t/x]} + ~~~ (\forall_e)$$ + +%\end{tabular}\vspace{0.1cm} +%\hrule +%\caption{\label{tab:HArules}Inference rules} +%\end{table}{lr} %\[ % (\land_i)\frac{\Gamma \vdash M:A \hspace{1cm}\Gamma \vdash N:B} -- 2.39.2