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