Commit b1465125 authored by Ralf Jung's avatar Ralf Jung

docs: make the borders slightly larger, so that lines of text dont become so...

docs: make the borders slightly larger, so that lines of text dont become so ridicolously long and are easier to read
parent 64c34e7e
......@@ -8,7 +8,7 @@
\usepackage[english]{babel}
\usepackage[babel=true]{microtype}
\fi
\usepackage[top=1in, bottom=1in, left=1.25in, right=1.25in]{geometry}
\usepackage{geometry}
\usepackage[backend=biber]{biblatex}
\bibliography{bib}
......
......@@ -45,8 +45,9 @@ We are thus going to define the assertions as mapping CMRA elements to sets of s
\Sem{\vctx \proves \All \var : \type. \prop : \Prop}_\gamma &\eqdef
\Lam \melt. \setComp{n}{ \All v \in \Sem{\type}. n \in \Sem{\vctx, \var : \type \proves \prop : \Prop}_{\mapinsert \var v \gamma}(\melt) } \\
\Sem{\vctx \proves \Exists \var : \type. \prop : \Prop}_\gamma &\eqdef
\Lam \melt. \setComp{n}{ \Exists v \in \Sem{\type}. n \in \Sem{\vctx, \var : \type \proves \prop : \Prop}_{\mapinsert \var v \gamma}(\melt) } \\
~\\
\Lam \melt. \setComp{n}{ \Exists v \in \Sem{\type}. n \in \Sem{\vctx, \var : \type \proves \prop : \Prop}_{\mapinsert \var v \gamma}(\melt) }
\end{align*}
\begin{align*}
\Sem{\vctx \proves \prop * \propB : \Prop}_\gamma &\eqdef \Lam\melt. \setComp{n}{\begin{aligned}\Exists \meltB_1, \meltB_2. &\melt \nequiv{n} \meltB_1 \mtimes \meltB_2 \land {}\\& n \in \Sem{\vctx \proves \prop : \Prop}_\gamma(\meltB_1) \land n \in \Sem{\vctx \proves \propB : \Prop}_\gamma(\meltB_2)\end{aligned}}
\\
\Sem{\vctx \proves \prop \wand \propB : \Prop}_\gamma &\eqdef
......
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