# HG changeset patch # User Christian Urban # Date 1324529197 0 # Node ID ff377f9d030a98d27f84d19e93d0f6074f2e29c6 # Parent 9bcf02a6eea9e57c31c1eddef90621a06a4e569a some slight tuning diff -r 9bcf02a6eea9 -r ff377f9d030a Quotient-Paper-jv/Paper.thy --- a/Quotient-Paper-jv/Paper.thy Wed Dec 21 17:05:00 2011 +0900 +++ b/Quotient-Paper-jv/Paper.thy Thu Dec 22 04:46:37 2011 +0000 @@ -165,6 +165,9 @@ makes the formal proof of the substitution lemma almost trivial. + {\bf MAYBE AN EAMPLE FOR PARTIAL QUOTIENTS?} + + The difficulty is that in order to be able to reason about integers, finite sets or $\alpha$-equated lambda-terms one needs to establish a reasoning infrastructure by transferring, or \emph{lifting}, definitions and theorems @@ -331,7 +334,7 @@ package works in practise. *} -section {* Preliminaries and General\\ Quotients\label{sec:prelims} *} +section {* Preliminaries and General Quotients\label{sec:prelims} *} text {* \noindent @@ -498,7 +501,7 @@ \end{isabelle} *} -section {* Quotient Types and Quotient\\ Definitions\label{sec:type} *} +section {* Quotient Types and Quotient Definitions\label{sec:type} *} text {* \noindent @@ -758,7 +761,7 @@ \end{proof} *} -section {* Respectfulness and\\ Preservation \label{sec:resp} *} +section {* Respectfulness and Preservation \label{sec:resp} *} text {* \noindent diff -r 9bcf02a6eea9 -r ff377f9d030a Quotient-Paper-jv/document/root.tex --- a/Quotient-Paper-jv/document/root.tex Wed Dec 21 17:05:00 2011 +0900 +++ b/Quotient-Paper-jv/document/root.tex Thu Dec 22 04:46:37 2011 +0000 @@ -1,24 +1,22 @@ \documentclass{svjour3} -\usepackage{times} -\usepackage{isabelle} -\usepackage{isabellesym} \usepackage{amsmath} \usepackage{amssymb} -\usepackage{pdfsetup} +\usepackage{isabelle} +\usepackage{isabellesym} \usepackage{tikz} -%\usepackage{pgf} +\usepackage{verbdef} +\usepackage{mathpartir} +\usepackage{pdfsetup} +\usepackage{times} \usepackage{stmaryrd} -\usepackage{verbdef} -%\usepackage{longtable} -\usepackage{mathpartir} %\newtheorem{definition}{Definition} %\newtheorem{proposition}{Proposition} %\newtheorem{lemma}{Lemma} \urlstyle{rm} -\isabellestyle{rm} -\renewcommand{\isastyleminor}{\rm}% -\renewcommand{\isastyle}{\normalsize\rm}% +\isabellestyle{it} +\renewcommand{\isastyleminor}{\it}% +\renewcommand{\isastyle}{\normalsize\it}% \renewcommand{\isastylescript}{\it} \def\dn{\,\triangleq\,} \verbdef\singlearr|---->| @@ -29,6 +27,7 @@ \renewcommand{\isasymemptyset}{$\varnothing$} %%\renewcommand{\isacharunderscore}{\mbox{$\_\!\_$}} \renewcommand{\isasymUnion}{$\bigcup$} +\renewcommand{\isacharunderscore}{\text{$\_\!\_$}} \newcommand{\isasymsinglearr}{$\mapsto$} \newcommand{\isasymdoublearr}{$\Mapsto$}