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uniformization of capitaliztion in part/section titles
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amahboubi committed Jan 14, 2021
1 parent 9b980dc commit d34ce52
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2 changes: 1 addition & 1 deletion tex/chProgramming.tex
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.
\end{coqdef}

\chapter{Functions and Computation}\label{ch:prog}
\chapter{Functions and computation}\label{ch:prog}

In the formalism underlying the \Coq{} system, functions play a
central role akin to the one of sets in set theory. However,
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4 changes: 2 additions & 2 deletions tex/chProofLanguage.tex
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\chapter{A Proof Language for Formal Proofs}{}
\chapter{A proof language for formal proofs}{}
\label{ch:script}


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%\section{Managing the proof context}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Bookkeeping: Goals as stacks}\label{ssec:stack}
\section{Bookkeeping: goals as stacks}\label{ssec:stack}
\index[concept]{goal stack model}

The presentation we gave so far of proof commands like \C{case: n => [|m]}
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2 changes: 1 addition & 1 deletion tex/chProofs.tex
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\end{coqdef}


\chapter{First Steps in Formal Proofs}{}
\chapter{First steps in formal proofs}{}
\label{ch:proofs}
% In this chapter we explain how to state a lemma,
% how to prove it, and how to search existing, loaded library.
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2 changes: 1 addition & 1 deletion tex/chSigmaBool.tex
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Require Import tuple.
\end{coqdef}

\chapter{Sub-Types}{}\label{ch:sigmabool}
\chapter{Sub-types}{}\label{ch:sigmabool}

Inductive data types have been used to both code data, like lists, and
logical connectives, like the existential quantifier.
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2 changes: 1 addition & 1 deletion tex/chSpecification.tex
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\chapter{Inductive Specifications}{}
\chapter{Inductive specifications}{}
\label{ch:boolrefl}

% in addition to the photos:
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2 changes: 1 addition & 1 deletion tex/chTT.tex
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\chapter{Dependent Type Theory}{}
\chapter{Dependent type theory}{}
\label{ch:ttch}

%% Summary of the 22/02 discussion:
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4 changes: 2 additions & 2 deletions tex/chTypeInference.tex
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Abort.
\end{coqdef}

\chapter{Implicit Parameters}{}
\chapter{Implicit parameters}{}

The rules of the \mcbCIC{}, as the ones sketched in~\ref{ch:ttch},
are expressed on the syntax of terms and
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%\mcbLEARN{HO unif is hard}
%\mcbREQUIRE{}
%\mcbPROVIDE{terminology}
\section{Type inference and Higher-Order unification}\label{sec:hounif}
\section{Type inference and higher-order unification}\label{sec:hounif}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

The type inference algorithm is quite similar to the type checking
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4 changes: 2 additions & 2 deletions tex/main.tex
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\makeindex[name=coq,title=Definitions and Notations,intoc]
\makeindex[name=vernac,title=Coq Commands,intoc]

\newcommand{\partonename}{Languages for writing Formal Mathematics}
\newcommand{\parttwoname}{Crafting a Formal Library}
\newcommand{\partonename}{Languages for writing formal mathematics}
\newcommand{\parttwoname}{Crafting a formal library}



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