Commit bae1da77 authored by Mickael Laurent's avatar Mickael Laurent
Browse files

minor fix

parent 2ff4839b
...@@ -114,12 +114,12 @@ functions as follows: ...@@ -114,12 +114,12 @@ functions as follows:
\textsc{[AbsInf+]} \textsc{[AbsInf+]}
\frac \frac
{ {
\begin{align*} \begin{aligned}
\Gamma,x:&\sigma\vdash e\triangleright\psi \qquad \qquad \Gamma,x:\sigma\vdash e:\tau\\ \Gamma,x:&\sigma\vdash e\triangleright\psi \qquad \qquad \Gamma,x:\sigma\vdash e:\tau\\
T = \{ (\sigma, \tau) \} T = \{ (\sigma, \tau) \}
&\cup \{ (\sigma,\tau) ~|~ \sigma \in \psi(x) \land \Gamma, x: \sigma \vdash e: \tau \}\\ &\cup \{ (\sigma,\tau) ~|~ \sigma \in \psi(x) \land \Gamma, x: \sigma \vdash e: \tau \}\\
&\cup \{ (\sigma^*,\tau) ~|~ \sigma \in \psi(x) \land \Gamma, x: \sigma^* \vdash e: \tau \} &\cup \{ (\sigma^*,\tau) ~|~ \sigma \in \psi(x) \land \Gamma, x: \sigma^* \vdash e: \tau \}
\end{align*} \end{aligned}
} }
{ {
\Gamma\vdash\lambda x:\sigma.e:\textstyle\bigwedge_{(\sigma,\tau) \in T}\sigma\to \tau \Gamma\vdash\lambda x:\sigma.e:\textstyle\bigwedge_{(\sigma,\tau) \in T}\sigma\to \tau
...@@ -968,8 +968,8 @@ ...@@ -968,8 +968,8 @@
\begin{theorem}[Soundness of the algorithm] \begin{theorem}[Soundness of the algorithm]
\begin{align*} \begin{align*}
&\forall \Gamma, e, t.\ \tyof e \Gamma \leq t \Rightarrow \Gamma \vdash e:t\\ &\forall \Gamma, e, t.\ \tyof e \Gamma \leq t \Rightarrow \Gamma \vdash e:t\\
&\forall \Gamma, e, t, \varpi.\ \pvdash \Gamma e t \varpi:\env {\Gamma,e,t} (\varpi)\\ &\forall \Gamma, e, t, \varpi.\ \tyof e \Gamma \neq \tsempty \Rightarrow \pvdash \Gamma e t \varpi:\env {\Gamma,e,t} (\varpi)\\
&\forall \Gamma, e, t.\ \Gamma \evdash e t \Refine {e,t} \Gamma &\forall \Gamma, e, t.\ \tyof e \Gamma \neq \tsempty \Rightarrow \Gamma \evdash e t \Refine {e,t} \Gamma
\end{align*} \end{align*}
\end{theorem} \end{theorem}
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