### docs: improve structure

parent 7e5ea1fe
Pipeline #269 passed with stage
 ... @@ -74,8 +74,6 @@ Furthermore, $\SigAx$ is a set of \emph{axioms}, that is, terms $\term$ of type ... @@ -74,8 +74,6 @@ Furthermore, $\SigAx$ is a set of \emph{axioms}, that is, terms $\term$ of type Again, the grammar of terms and their typing rules are defined below, and depends only on $\SigType$ and $\SigFn$, not on $\SigAx$. Again, the grammar of terms and their typing rules are defined below, and depends only on $\SigType$ and $\SigFn$, not on $\SigAx$. Elements of $\SigAx$ are ranged over by $\sigax$. Elements of $\SigAx$ are ranged over by $\sigax$. \section{Syntax} \subsection{Grammar}\label{sec:grammar} \subsection{Grammar}\label{sec:grammar} \paragraph{Syntax.} \paragraph{Syntax.} ... @@ -276,7 +274,7 @@ In writing $\vctx, x:\type$, we presuppose that $x$ is not already declared in $... @@ -276,7 +274,7 @@ In writing$\vctx, x:\type$, we presuppose that$x$is not already declared in$ } } \end{mathparpagebreakable} \end{mathparpagebreakable} \subsection{Timeless Propositions} \subsection{Timeless propositions} Some propositions are \emph{timeless}, which intuitively means that step-indexing does not affect them. Some propositions are \emph{timeless}, which intuitively means that step-indexing does not affect them. This is a \emph{meta-level} assertions about propositions, defined by the following judgment. This is a \emph{meta-level} assertions about propositions, defined by the following judgment. ... @@ -285,7 +283,7 @@ This is a \emph{meta-level} assertions about propositions, defined by the follow ... @@ -285,7 +283,7 @@ This is a \emph{meta-level} assertions about propositions, defined by the follow \ralf{Define a judgment that defines them.} \ralf{Define a judgment that defines them.} \subsection{Base logic} \subsection{Proof rules} \ralf{Go on checking below.} \ralf{Go on checking below.} The judgment $\vctx \mid \pfctx \proves \prop$ says that with free variables $\vctx$, proposition $\prop$ holds whenever all assumptions $\pfctx$ hold. The judgment $\vctx \mid \pfctx \proves \prop$ says that with free variables $\vctx$, proposition $\prop$ holds whenever all assumptions $\pfctx$ hold. ... ...
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