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Commit 42b00e2e authored by Daniel Plagge's avatar Daniel Plagge
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bugfix: removed \hline in the text (\hline must not occur outside of tabular...

bugfix: removed \hline in the text (\hline must not occur outside of tabular (or similar) environments


git-svn-id: svn://svn.code.sf.net/p/rodin-b-sharp/svn/trunk/Handbook@15281 1434b563-b632-4741-aa49-43a3a8374d2e
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...@@ -184,8 +184,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -184,8 +184,7 @@ The following reference subsections will have the form the form: \\[2em]
\index{true!as predicate@as predicate ($\btrue$)}\index{false!as predicate@as predicate ($\bfalse$)} \index{true!as predicate@as predicate ($\btrue$)}\index{false!as predicate@as predicate ($\bfalse$)}
\index{$\btrue$ (true)} \index{$\btrue$ (true)}
\index{$\bfalse$ (false)} \index{$\bfalse$ (false)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\btrue$ & \texttt{true} & True \\ $\btrue$ & \texttt{true} & True \\
$\bfalse$ & \texttt{false} & False \\ $\bfalse$ & \texttt{false} & False \\
...@@ -204,8 +203,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -204,8 +203,7 @@ The following reference subsections will have the form the form: \\[2em]
\index{conjunction@conjunction ($\land$)}\index{disjunction@disjunction ($\lor$)}\index{implication@implication ($\limp$)}\index{equivalence@equivalence ($\leqv$)}\index{negation@negation ($\lnot$)} \index{conjunction@conjunction ($\land$)}\index{disjunction@disjunction ($\lor$)}\index{implication@implication ($\limp$)}\index{equivalence@equivalence ($\leqv$)}\index{negation@negation ($\lnot$)}
\index{$\land$ (conjunction)}\index{$\lor$ (disjunction)}\index{$\limp$ (implication)}\index{$\leqv$ (equivalence)}\index{$\lnot$ (negation)} \index{$\land$ (conjunction)}\index{$\lor$ (disjunction)}\index{$\limp$ (implication)}\index{$\leqv$ (equivalence)}\index{$\lnot$ (negation)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\land$ & \texttt{\&} & Conjunction \\ $\land$ & \texttt{\&} & Conjunction \\
...@@ -261,8 +259,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -261,8 +259,7 @@ The following reference subsections will have the form the form: \\[2em]
\index{quantification!universal@universal ($\forall$)} \index{quantification!universal@universal ($\forall$)}
\index{quantification!existential@existential ($\exists$)} \index{quantification!existential@existential ($\exists$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\forall$ & \texttt{!} & Universal quantification \\ $\forall$ & \texttt{!} & Universal quantification \\
$\exists$ & \texttt{\#} & Existential quantification \\ $\exists$ & \texttt{\#} & Existential quantification \\
...@@ -310,8 +307,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -310,8 +307,7 @@ The following reference subsections will have the form the form: \\[2em]
\subsubsection{Equality} \subsubsection{Equality}
\label{equality} \label{equality}
\index{equality@equality ($=$)} \index{equality@equality ($=$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$=$ & \texttt{=} & equality \\ $=$ & \texttt{=} & equality \\
$\neq$ & \texttt{/=} & inequality \\ $\neq$ & \texttt{/=} & inequality \\
...@@ -333,8 +329,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -333,8 +329,7 @@ The following reference subsections will have the form the form: \\[2em]
\subsubsection{Membership} \subsubsection{Membership}
\label{membership} \label{membership}
\index{membership@membership ($\in$)} \index{membership@membership ($\in$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\in$ & \texttt{:} & set membership \\ $\in$ & \texttt{:} & set membership \\
$\not\in$ & \texttt{/:} & negated set membership \\ $\not\in$ & \texttt{/:} & negated set membership \\
...@@ -360,8 +355,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -360,8 +355,7 @@ The following reference subsections will have the form the form: \\[2em]
\index{boolean!the operator $\bool$} \index{boolean!the operator $\bool$}
\index{true!as expression ($\True$)} \index{true!as expression ($\True$)}
\index{false!as expression ($\False$)} \index{false!as expression ($\False$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\Bool$ & \texttt{BOOL} & Boolean values \\ $\Bool$ & \texttt{BOOL} & Boolean values \\
$\True$ & \texttt{TRUE} & Boolean true \\ $\True$ & \texttt{TRUE} & Boolean true \\
...@@ -399,8 +393,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -399,8 +393,7 @@ The following reference subsections will have the form the form: \\[2em]
\subsubsection{Set comprehensions} \subsubsection{Set comprehensions}
\label{set_comprehensions} \label{set_comprehensions}
\index{set!comprehension set} \index{set!comprehension set}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\{~\textit{ids}~\qdot~\predp~|~\expre~\}$ & \texttt{\{\textit{ids}.P|E\}} & Set comprehension \\ $\{~\textit{ids}~\qdot~\predp~|~\expre~\}$ & \texttt{\{\textit{ids}.P|E\}} & Set comprehension \\
$\{~\expre~|~\predp~\}$ & \texttt{\{E|P\}} & Set comprehension (short form)\\ $\{~\expre~|~\predp~\}$ & \texttt{\{E|P\}} & Set comprehension (short form)\\
...@@ -438,8 +431,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -438,8 +431,7 @@ The following reference subsections will have the form the form: \\[2em]
\subsubsection{Basic sets} \subsubsection{Basic sets}
\index{set!empty set@empty set ($\emptyset$)} \index{set!empty set@empty set ($\emptyset$)}
\index{set!set extension} \index{set!set extension}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\emptyset$ & \texttt{\{\}} & Empty set \\ $\emptyset$ & \texttt{\{\}} & Empty set \\
$\{\textit{exprs}\}$ & \texttt{\{\textit{exprs}\}} & Set extension \\ $\{\textit{exprs}\}$ & \texttt{\{\textit{exprs}\}} & Set extension \\
...@@ -466,8 +458,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -466,8 +458,7 @@ The following reference subsections will have the form the form: \\[2em]
\subsubsection{Subsets} \subsubsection{Subsets}
\label{subsets} \label{subsets}
\index{subset@subset ($\subseteq,\subset$)} \index{subset@subset ($\subseteq,\subset$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\subseteq$ & \texttt{<:} & subset \\ $\subseteq$ & \texttt{<:} & subset \\
$\not\subseteq$ & \texttt{/<:} & not a subset \\ $\not\subseteq$ & \texttt{/<:} & not a subset \\
...@@ -501,8 +492,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -501,8 +492,7 @@ The following reference subsections will have the form the form: \\[2em]
\index{set!difference set@difference set ($\setminus$)} \index{set!difference set@difference set ($\setminus$)}
\index{set!set subtraction@set subtraction ($\setminus$)} \index{set!set subtraction@set subtraction ($\setminus$)}
\index{subtraction!of sets@of sets ($\setminus$)} \index{subtraction!of sets@of sets ($\setminus$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\bunion$ & \texttt{\mybackslash/} & Union \\ $\bunion$ & \texttt{\mybackslash/} & Union \\
$\binter$ & \texttt{/\mybackslash} & Intersection \\ $\binter$ & \texttt{/\mybackslash} & Intersection \\
...@@ -529,8 +519,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -529,8 +519,7 @@ The following reference subsections will have the form the form: \\[2em]
\begin{samepage} \begin{samepage}
\subsubsection{Power sets} \subsubsection{Power sets}
\index{set!power set@power set ($\pow$)} \index{set!power set@power set ($\pow$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\pow$ & \texttt{POW} & Power set \\ $\pow$ & \texttt{POW} & Power set \\
$\pow_1$ & \texttt{POW1} & Set of non-empty subsets \\ $\pow_1$ & \texttt{POW1} & Set of non-empty subsets \\
...@@ -556,8 +545,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -556,8 +545,7 @@ The following reference subsections will have the form the form: \\[2em]
\index{set!finite} \index{set!finite}
\index{set!cardinality@cardinality ($\card$)} \index{set!cardinality@cardinality ($\card$)}
\index{cardinality@cardinality ($\card$)} \index{cardinality@cardinality ($\card$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\bfinite$ & \texttt{finite} & Finite set \\ $\bfinite$ & \texttt{finite} & Finite set \\
$\card$ & \texttt{card} & Cardinality of a finite set \\ $\card$ & \texttt{card} & Cardinality of a finite set \\
...@@ -585,8 +573,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -585,8 +573,7 @@ The following reference subsections will have the form the form: \\[2em]
\label{partition} \label{partition}
\index{partition} \index{partition}
\index{set!partition} \index{set!partition}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\bpartition$ & \texttt{partition} & Partitions of a set \\ $\bpartition$ & \texttt{partition} & Partitions of a set \\
\end{rrnames} \end{rrnames}
...@@ -611,8 +598,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -611,8 +598,7 @@ The following reference subsections will have the form the form: \\[2em]
\subsubsection{Generalized union and intersection} \subsubsection{Generalized union and intersection}
\index{union!generalized union} \index{union!generalized union}
\index{intersection!generalized intersection@generalized intersection ($\bunaryinter$)} \index{intersection!generalized intersection@generalized intersection ($\bunaryinter$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\bunaryunion$ & \texttt{union} & Generalized union \\ $\bunaryunion$ & \texttt{union} & Generalized union \\
$\bunaryinter$ & \texttt{inter} & Generalized intersection \\ $\bunaryinter$ & \texttt{inter} & Generalized intersection \\
...@@ -638,8 +624,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -638,8 +624,7 @@ The following reference subsections will have the form the form: \\[2em]
\subsubsection{Quantified union and intersection} \subsubsection{Quantified union and intersection}
\index{union!quantified union@quantified union ($\Union$)} \index{union!quantified union@quantified union ($\Union$)}
\index{intersection!quantified intersection@quantified intersection ($\Inter$)} \index{intersection!quantified intersection@quantified intersection ($\Inter$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\Union$ & \texttt{UNION} & Quantified union \\ $\Union$ & \texttt{UNION} & Quantified union \\
$\Inter$ & \texttt{INTER} & Quantified intersection \\ $\Inter$ & \texttt{INTER} & Quantified intersection \\
...@@ -683,8 +668,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -683,8 +668,7 @@ The following reference subsections will have the form the form: \\[2em]
\index{pair} \index{pair}
\index{maplet@maplet ($\mapsto$)} \index{maplet@maplet ($\mapsto$)}
\index{Cartesian product@Cartesian product ($\cprod$)} \index{Cartesian product@Cartesian product ($\cprod$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\mapsto$ & \texttt{|->} & Pair \\ $\mapsto$ & \texttt{|->} & Pair \\
$\cprod$ & \texttt{**} & Cartesian product $\cprod$ & \texttt{**} & Cartesian product
...@@ -709,8 +693,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -709,8 +693,7 @@ The following reference subsections will have the form the form: \\[2em]
\begin{samepage} \begin{samepage}
\subsubsection{Relations} \subsubsection{Relations}
\index{relation@relation ($\rel$,$\trel$,$\srel$,$\strel$)} \index{relation@relation ($\rel$,$\trel$,$\srel$,$\strel$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\rel$ & \texttt{<->} & Relations \\ $\rel$ & \texttt{<->} & Relations \\
$\trel$ & \texttt{<}\texttt{<->} & Total relations \\ $\trel$ & \texttt{<}\texttt{<->} & Total relations \\
...@@ -747,8 +730,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -747,8 +730,7 @@ The following reference subsections will have the form the form: \\[2em]
\label{domain_and_range} \label{domain_and_range}
\index{domain@domain ($\dom$)} \index{domain@domain ($\dom$)}
\index{range@range ($\ran$)} \index{range@range ($\ran$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\dom$ & \texttt{dom} & Domain \\ $\dom$ & \texttt{dom} & Domain \\
$\ran$ & \texttt{ran} & Range \\ $\ran$ & \texttt{ran} & Range \\
...@@ -779,8 +761,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -779,8 +761,7 @@ The following reference subsections will have the form the form: \\[2em]
\index{domain subtraction@domain subtraction ($\domsub$)} \index{domain subtraction@domain subtraction ($\domsub$)}
\index{range restriction@range restriction ($\ranres$)} \index{range restriction@range restriction ($\ranres$)}
\index{range subtraction@range subtraction ($\ransub$)} \index{range subtraction@range subtraction ($\ransub$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\domres$ & \texttt{<|} & Domain restriction\\ $\domres$ & \texttt{<|} & Domain restriction\\
$\domsub$ & \texttt{<}\texttt{<|} & Domain subtraction\\ $\domsub$ & \texttt{<}\texttt{<|} & Domain subtraction\\
...@@ -825,8 +806,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -825,8 +806,7 @@ The following reference subsections will have the form the form: \\[2em]
\index{relation!direct product ($\dprod$)} \index{relation!direct product ($\dprod$)}
\index{inverse ($\mbox{}^{-1}$)} \index{inverse ($\mbox{}^{-1}$)}
\index{relation!inverse ($\mbox{}^{-1}$)} \index{relation!inverse ($\mbox{}^{-1}$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\fcomp$ & \texttt{;} & Relational forward composition\\ $\fcomp$ & \texttt{;} & Relational forward composition\\
$\bcomp$ & \texttt{circ} & Relational backward composition\\ $\bcomp$ & \texttt{circ} & Relational backward composition\\
...@@ -888,8 +868,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -888,8 +868,7 @@ The following reference subsections will have the form the form: \\[2em]
\label{relational_image} \label{relational_image}
\index{relational image} \index{relational image}
\index{relation!image} \index{relation!image}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$[\ldots]$ & \texttt{[}\ldots\texttt{]} & Relational image $[\ldots]$ & \texttt{[}\ldots\texttt{]} & Relational image
\end{rrnames} \end{rrnames}
...@@ -912,8 +891,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -912,8 +891,7 @@ The following reference subsections will have the form the form: \\[2em]
\index{identity relation@identity relation ($\id$)} \index{identity relation@identity relation ($\id$)}
\index{relation!identity ($\id$)} \index{relation!identity ($\id$)}
\index{projection@projection ($\prjone$,$\prjtwo$)} \index{projection@projection ($\prjone$,$\prjtwo$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\id$ & \texttt{id} & Identity relation \\ $\id$ & \texttt{id} & Identity relation \\
$\prjone$ & \texttt{prj1} & First projection \\ $\prjone$ & \texttt{prj1} & First projection \\
...@@ -952,8 +930,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -952,8 +930,7 @@ The following reference subsections will have the form the form: \\[2em]
\index{injection@injection ($\pinj$,$\tinj$)} \index{injection@injection ($\pinj$,$\tinj$)}
\index{surjection@surjection ($\psur$,$\tsur$)} \index{surjection@surjection ($\psur$,$\tsur$)}
\index{bijection@bijection ($\tbij$)} \index{bijection@bijection ($\tbij$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\pfun$ & \texttt{+->} & Partial functions\\ $\pfun$ & \texttt{+->} & Partial functions\\
$\tfun$ & \texttt{-->} & Total functions \\ $\tfun$ & \texttt{-->} & Total functions \\
...@@ -1000,8 +977,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -1000,8 +977,7 @@ The following reference subsections will have the form the form: \\[2em]
\subsubsection{Function application} \subsubsection{Function application}
\label{function_application} \label{function_application}
\index{function application} \index{function application}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$(\ldots)$ & \texttt{(}\ldots\texttt{)} & Function application $(\ldots)$ & \texttt{(}\ldots\texttt{)} & Function application
\end{rrnames} \end{rrnames}
...@@ -1023,8 +999,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -1023,8 +999,7 @@ The following reference subsections will have the form the form: \\[2em]
\subsubsection{Lambda} \subsubsection{Lambda}
\label{lambda} \label{lambda}
\index{lambda@lamba expression ($\lambda$)} \index{lambda@lamba expression ($\lambda$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\lambda$ & \texttt{\%} & Lambda $\lambda$ & \texttt{\%} & Lambda
\end{rrnames} \end{rrnames}
...@@ -1070,8 +1045,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -1070,8 +1045,7 @@ The following reference subsections will have the form the form: \\[2em]
\subsubsection{Sets of numbers} \subsubsection{Sets of numbers}
\index{integer!as set@as set ($\intg$)} \index{integer!as set@as set ($\intg$)}
\index{natural numbers@natural numbers ($\nat$)} \index{natural numbers@natural numbers ($\nat$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\intg$ & \texttt{INT} & Integers \\ $\intg$ & \texttt{INT} & Integers \\
$\nat$ & \texttt{NAT} & Natural numbers, starting with 0 \\ $\nat$ & \texttt{NAT} & Natural numbers, starting with 0 \\
...@@ -1113,8 +1087,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -1113,8 +1087,7 @@ The following reference subsections will have the form the form: \\[2em]
\index{modulo@modulo ($\bmod$)} \index{modulo@modulo ($\bmod$)}
\index{reminder|see{modulo}} \index{reminder|see{modulo}}
\index{exponentation@exponentation ($\expn$)} \index{exponentation@exponentation ($\expn$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$+$ & \texttt{+} & Addition \\ $+$ & \texttt{+} & Addition \\
$-$ & \texttt{-} & Subtraction or unary minus \\ $-$ & \texttt{-} & Subtraction or unary minus \\
...@@ -1156,8 +1129,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -1156,8 +1129,7 @@ The following reference subsections will have the form the form: \\[2em]
\label{minimum_and_maximum} \label{minimum_and_maximum}
\index{minimum@minimum ($\min$)} \index{minimum@minimum ($\min$)}
\index{maximum@maximum ($\max$)} \index{maximum@maximum ($\max$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\min$ & \texttt{min} & Minimum \\ $\min$ & \texttt{min} & Minimum \\
$\max$ & \texttt{max} & Maximum $\max$ & \texttt{max} & Maximum
...@@ -1182,8 +1154,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -1182,8 +1154,7 @@ The following reference subsections will have the form the form: \\[2em]
\subsection{Typing} \subsection{Typing}
\label{typing} \label{typing}
\index{oftype operator ($\boftype$)} \index{oftype operator ($\boftype$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\boftype$ & \texttt{oftype} & of type $\boftype$ & \texttt{oftype} & of type
\end{rrnames} \end{rrnames}
...@@ -1231,8 +1202,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -1231,8 +1202,7 @@ The following reference subsections will have the form the form: \\[2em]
\subsubsection{Deterministic Assignments} \subsubsection{Deterministic Assignments}
\label{deterministic_assignments} \label{deterministic_assignments}
\index{assignment!deterministic ($\bcmeq$)} \index{assignment!deterministic ($\bcmeq$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\bcmeq$ & \texttt{:=} & deterministic assignment $\bcmeq$ & \texttt{:=} & deterministic assignment
\end{rrnames} \end{rrnames}
...@@ -1276,8 +1246,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -1276,8 +1246,7 @@ The following reference subsections will have the form the form: \\[2em]
\index{assignment!become such@become such ($\bcmsuch$)} \index{assignment!become such@become such ($\bcmsuch$)}
\index{become such@become such assignment ($\bcmsuch$)} \index{become such@become such assignment ($\bcmsuch$)}
\index{before-after predicate} \index{before-after predicate}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\bcmsuch$ & \texttt{:|} & non-deterministic assignment with a before-after-predicate $\bcmsuch$ & \texttt{:|} & non-deterministic assignment with a before-after-predicate
\end{rrnames} \end{rrnames}
...@@ -1315,8 +1284,7 @@ The following reference subsections will have the form the form: \\[2em] ...@@ -1315,8 +1284,7 @@ The following reference subsections will have the form the form: \\[2em]
\subsubsection{Non-deterministic assignment by sets} \subsubsection{Non-deterministic assignment by sets}
\index{assignment!become element of@become element of ($\bcmin$)} \index{assignment!become element of@become element of ($\bcmin$)}
\index{become element of@become element of assignment ($\bcmin$)} \index{become element of@become element of assignment ($\bcmin$)}
\hline
\vspace{5mm}
\begin{rrnames} \begin{rrnames}
$\bcmin$ & \texttt{::} & non-deterministic assignment of a set member $\bcmin$ & \texttt{::} & non-deterministic assignment of a set member
\end{rrnames} \end{rrnames}
......
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