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| -rw-r--r-- | principia.sty | 255 |
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diff --git a/principia.sty b/principia.sty deleted file mode 100644 index 3d3e954..0000000 --- a/principia.sty +++ /dev/null @@ -1,255 +0,0 @@ -%Package Identification
-\NeedsTeXFormat{LaTeX2e}
-\ProvidesPackage{principia}[2020/10/25 principia package version 1.1] %This is the principia package is for representing notations in Whitehead and Russell's ``Principia Mathematica" close to their appearance in the original.
-%Version 1.0 (superseded by Version 1.1): Covers typesetting of notation through Volume I. 2020/10/24
-%Version 1.1 (updates): fixed the spacing of scope dots around parentheses; fixed spacing of theorem sign; fixed spacing around primitive proposition and definition signs. 2020/10/25
-%Licensed under LaTeX Project Public License 1.3c.
-%Copyright Landon D. C. Elkind, 2020. (https://landondcelkind.com/contact/).
-
-%Principia package requirements
-\RequirePackage{amssymb} %This loads the relation domain and converse domain limitation symbols.
-\RequirePackage{amsmath} %This loads the circumflex, substitution into theorems, \text{}, \mathbf{}, \boldsymbol{}, \overleftarrow{}, \overrightarrow{}, etc.
-\RequirePackage{graphicx} %This loads commands that flip iota for definite descriptions, Lambda for the universal class, and so on. The (superseded) graphics package should also work here, but is not recommended.
-\RequirePackage{marvosym} %This loads the male and female symbol.
-\RequirePackage{pifont} %This loads the symbols such as the eight-pointed asterisk.
-
-%Meta-logical symbols
-\newcommand{\pmfd}{\begin{center} \rule{5cm}{.5pt} \end{center}} %Dividing line between introductory remarks in a starred number and the formal deductions.
-\newcommand{\pmdem}{\textit{Dem}.} %This notation begins a proof.
-\newcommand{\pmdemi}{\indent \pmdem} %This idents the notation that begins a proof.
-\newcommand{\pmhp}{\text{Hp}} %This typesets Hp (short for antecedent), which occurs at the beginning of a proof.
-\newcommand{\pmprop}{\text{Prop}} %This occurs at the end of a proof.
-\newcommand{\pmithm}{\pmimp\;\pmthm} %This occurs when a meta-theoretic implication is asserted.
-\newcommand{\pmbr}[1]{\bigg \lbrack \normalsize #1 \bigg \rbrack} %These are larger brackets for substitution.
-\newcommand{\pmsub}[2]{\bigg \lbrack \small \begin{array}{c} #1 \\ \hline #2 \end{array} \bigg \rbrack} %This is the substitution command.
-\newcommand{\pmsubb}[4]{\bigg \lbrack \small \begin{array}{c c} #1, & #3 \\ \hline #2, & #4 \end{array} \bigg \rbrack} %This is the substitution command.
-\newcommand{\pmsubbb}[6]{\bigg \lbrack \small \begin{array}{c c c} #1, & #3, & #5 \\ \hline #2, & #4, & #6 \end{array} \bigg \rbrack} %This is the substitution command.
-\newcommand{\pmsubbbb}[8]{\bigg \lbrack \small \begin{array}{c c c c} #1, & #3, & #5, & #7 \\ \hline #2, & #4, & #6, & #8 \end{array} \bigg \rbrack} %This is the substitution command.
-\newcommand{\pmSub}[3]{\bigg \lbrack \normalsize #1 \text{ } \small \begin{array}{c} #2 \\ \hline #3 \end{array} \bigg \rbrack} %This is the substitution command.
-\newcommand{\pmSubb}[5]{\bigg \lbrack \normalsize #1 \text{ } \small \begin{array}{c c} #2, & #4 \\ \hline #3, & #5 \end{array} \bigg \rbrack} %This is the substitution command.
-\newcommand{\pmSubbb}[7]{\bigg \lbrack \normalsize #1 \text{ } \small \begin{array}{c c c} #2, & #4, & #6 \\ \hline #3, & #5, & #7 \end{array} \bigg \rbrack} %This is the substitution command.
-\newcommand{\pmSubbbb}[9]{\bigg \lbrack \normalsize #1 \text{ } \small \begin{array}{c c c c} #1, & #3, & #5, & #7 \\ \hline #2, & #4, & #6, & #8 \end{array} \bigg \rbrack} %This is the substitution command.
-\newcommand{\pmsUb}[2]{\small \begin{array}{c} #1 \\ \hline #2 \end{array}} %This is the substitution command.
-\newcommand{\pmsUbb}[4]{\small \begin{array}{c c} #1, & #3 \\ \hline #2, & #4 \end{array}} %This is the substitution command.
-\newcommand{\pmsUbbb}[6]{\small \begin{array}{c c c} #1, & #3, & #5 \\ \hline #2, & #4, & #6 \end{array}} %This is the substitution command.
-\newcommand{\pmsUbbbb}[8]{\small \begin{array}{c c c c} #1, & #3, & #5, & #7 \\ \hline #2, & #4, & #6, & #8 \end{array}} %This is the substitution command.
-\newcommand{\pmSUb}[3]{\normalsize #1 \text{ } \small \begin{array}{c} #2 \\ \hline #3 \end{array}} %This is the substitution command.
-\newcommand{\pmSUbb}[5]{\normalsize #1 \text{ } \small \begin{array}{c c} #2, & #4 \\ \hline #3, & #5 \end{array}} %This is the substitution command.
-\newcommand{\pmSUbbb}[7]{\normalsize #1 \text{ } \small \begin{array}{c c c} #2, & #4, & #6 \\ \hline #3, & #5, & #7 \end{array}} %This is the substitution command.
-\newcommand{\pmSUbbbb}[9]{\normalsize #1 \text{ } \small \begin{array}{c c c c} #1, & #3, & #5, & #7 \\ \hline #2, & #4, & #6, & #8 \end{array}} %This is the substitution command.
-\newcommand{\pmthm}{\mathpunct{\text{\scalebox{.5}[1]{$\boldsymbol\vdash$}}}} %This is the theorem sign.
-\newcommand{\pmast}{\text{\resizebox{!}{.75\height}{\ding{107}}}} %This is the sign introducing a theorem number.
-\newcommand{\pmcdot}{\text{\raisebox{.05cm}{$\boldsymbol\cdot$}}} %This is a sign introducing a theorem sub-number.
-\newcommand{\pmiddf}{\mathbin{=}}
-\newcommand{\pmdf}{\quad \text{Df}}
-\newcommand{\pmpp}{\quad \text{Pp}}
-
-%Square dots for scope, defined for up to six dots
-\newcommand{\pmdot}{\mathrel{\hbox{\rule{.3ex}{.3ex}}}}
-\newcommand{\pmdott}{\mathrel{\overset{\pmdot}{\pmdot}}}
-\newcommand{\pmdottt}{\pmdott\hspace{.1em}\pmdot}
-\newcommand{\pmdotttt}{\pmdott\hspace{.1em}\pmdott}
-\newcommand{\pmdottttt}{\pmdott\hspace{.1em}\pmdott\hspace{.1em}\pmdot}
-\newcommand{\pmdotttttt}{\pmdott\hspace{.1em}\pmdott\hspace{.1em}\pmdott}
-
-%Logical connectives
-\newcommand{\pmnot}{\mathord{\ooalign{$\boldsymbol{\sim}\mkern.5mu$\hidewidth\cr$\boldsymbol{\sim}$\cr\hidewidth$\mkern.5mu\boldsymbol{\sim}$}}}
-\newcommand{\pmimp}{\mathbin{\ooalign{$\boldsymbol{\supset}\mkern.5mu$\hidewidth\cr$\boldsymbol{\supset}$\cr\hidewidth$\mkern.5mu\boldsymbol{\supset}$}}}
-\newcommand{\pmiff}{\mathbin{\ooalign{$\boldsymbol{\equiv}\mkern.5mu$\hidewidth\cr$\boldsymbol{\equiv}$\cr\hidewidth$\mkern.5mu\boldsymbol{\equiv}$}}}
-\newcommand{\pmor}{\mathbin{\ooalign{$\boldsymbol{\vee}\mkern.5mu$\hidewidth\cr$\boldsymbol{\vee}$\cr\hidewidth$\mkern.5mu\boldsymbol{\vee}$}}}
-\newcommand{\pmprod}{\mathbin{\ooalign{$\boldsymbol{\wedge}\mkern.5mu$\hidewidth\cr$\boldsymbol{\wedge}$\cr\hidewidth$\mkern.5mu\boldsymbol{\wedge}$}}}
-\newcommand{\pmall}[1]{(#1)}
-\newcommand{\pmsome}[1]{(\text{\raisebox{.5em}{\rotatebox{180}{\textbf{E}}}}#1)}
-\newcommand{\pmSome}{\text{\raisebox{.5em}{\rotatebox{180}{\textbf{E}}}}}
-\newcommand{\pmand}{\mathrel{\hbox{\rule{.3ex}{.3ex}}}}
-\newcommand{\pmandd}{\overset{\pmand}{\pmand}}
-\newcommand{\pmanddd}{\pmandd\hspace{.1em}\pmand}
-\newcommand{\pmandddd}{\pmandd\hspace{.1em}\pmandd}
-\newcommand{\pmanddddd}{\pmandd\hspace{.1em}\pmandd\hspace{.1em}\pmand}
-\newcommand{\pmandddddd}{\pmandd\hspace{.1em}\pmandd\hspace{.1em}\pmandd}
-
-%Additional defined logic signs
-\newcommand{\pmhat}[1]{\mathbf{\hat{\text{$#1$}}}}
-\newcommand{\pmpf}[2]{#1#2} %for propositional functions of one variable
-\newcommand{\pmpff}[3]{#1(#2, #3)} %for propositional functions of two variables
-\newcommand{\pmpfff}[4]{#1(#2, #3, #4)} %for propositional functions of three variables
-\newcommand{\pmshr}{\textbf{!}} %*12.1 and *12.11, used for predicative propositional functions
-\newcommand{\pmpred}[2]{#1\pmshr#2} %for predicates (``predicative functions'') of one variable
-\newcommand{\pmpredd}[3]{#1\pmshr(#2, #3)} %for predicates (``predicative functions'') of two variables
-\newcommand{\pmpreddd}[4]{#1\pmshr(#2, #3, #4)} %for predicates (``predicative functions'') of three variables
-\newcommand{\pmnid}{\mathrel{\ooalign{$=$\cr\hidewidth\footnotesize\rotatebox[origin=c]{210}{\textbf{/}}\hidewidth\cr}}} %*13.01
-\newcommand{\pmiota}{\ooalign{\rotatebox[origin=c]{180}{$\mathbf{\iota}$}\cr\hidewidth\raisebox{.0125em}{\rotatebox[origin=c]{180}{$\mathbf{\iota}$}}\cr\hidewidth\raisebox{.025em}{\rotatebox[origin=c]{180}{$\mathbf{\iota}$}}\cr\hidewidth\raisebox{.0375em}{\rotatebox[origin=c]{180}{$\mathbf{\iota}$}}\cr\hidewidth\raisebox{.05em}{\rotatebox[origin=c]{180}{$\mathbf{\iota}$}}}} %the rotated Greek iota used in definite descriptions
-\newcommand{\pmdsc}[1]{(\pmiota#1)} %*14.01
-\newcommand{\pmDsc}{\pmiota} %*14.01
-\newcommand{\pmexists}{\textbf{E}\hspace{.1em}\pmshr} %*14.02
-
-%Class signs
-\newcommand{\pmcuni}{\text{\rotatebox[origin=c]{180}{$\Lambda$}}}
-\newcommand{\pmcnull}{\Lambda}
-\newcommand{\pmcls}[2]{\pmhat{#1}(#2)}
-\newcommand{\pmCls}{\text{Cls}}
-\newcommand{\pmClsn}[1]{\text{Cls}^{#1}}
-\newcommand{\pmcexists}{\text{\raisebox{.5em}{\rotatebox{180}{\textbf{E}}}}\hspace{-.1em}\mathop{\pmshr}}
-\newcommand{\pmccmp}[1]{\boldsymbol{-}#1}
-\newcommand{\pmcmin}[2]{#1\boldsymbol{-}#2}
-\newcommand{\pmcin}{\mathop{\boldsymbol{\epsilon}}}
-\newcommand{\pmccup}{\mathop{\ooalign{\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}\cr\hidewidth\hspace{.1em}\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}\cr\hidewidth\hspace{.2em}\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}\cr\hidewidth\hspace{.3em}\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}\cr\hidewidth\hspace{.4em}\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}\cr\hidewidth\hspace{.5em}\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}\cr\hidewidth\hspace{.6em}\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}}}}
-\newcommand{\pmccap}{\mathop{\ooalign{\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}\cr\hidewidth\hspace{.1em}\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}\cr\hidewidth\hspace{.2em}\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}\cr\hidewidth\hspace{.3em}\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}\cr\hidewidth\hspace{.4em}\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}\cr\hidewidth\hspace{.5em}\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}\cr\hidewidth\hspace{.6em}\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}}}}
-\newcommand{\pmcinc}{\mathop{\ooalign{$\boldsymbol{\subset}$\cr\hidewidth$\hspace{.1em}\boldsymbol{\subset}$\cr\hidewidth$\hspace{.15em}\boldsymbol{\subset}$\cr\hidewidth$\hspace{.2em}\boldsymbol{\subset}$}}}
-
-%Relation signs
-\newcommand{\pmruni}{\dot{\text{\rotatebox[origin=c]{180}{$\Lambda$}}}}
-\newcommand{\pmrnull}{\dot{\Lambda}}
-\newcommand{\pmdscf}[2]{#1\textbf{`}#2}
-\newcommand{\pmdscff}[2]{#1\textbf{`}\textbf{`}#2}
-\newcommand{\pmdscfff}[2]{#1\textbf{`}\textbf{`}\textbf{`}#2}
-\newcommand{\pmdscfr}[2]{#1_{\pmcin}\textbf{`}#2}
-\newcommand{\pmdscfR}[1]{#1_{\pmcin}}
-\newcommand{\pmdscfe}[2]{\mathop{\text{E}}\mathop{\pmshr\pmshr}\pmdscff{#1}{#2}}
-\newcommand{\pmdm}[1]{\text{D}\textbf{`}#1}
-\newcommand{\pmDm}{\text{D}}
-\newcommand{\pmcdm}[1]{\text{\rotatebox[origin=c]{180}{D}}\textbf{`}#1}
-\newcommand{\pmCdm}{\text{\rotatebox[origin=c]{180}{D}}}
-\newcommand{\pmcmp}[1]{C\textbf{`}#1}
-\newcommand{\pmCmp}{C}
-\newcommand{\pmfld}[1]{F\textbf{`}#1}
-\newcommand{\pmFld}{F}
-\newcommand{\pmrel}[3]{\pmhat{#1}\pmhat{#2}#3}
-\newcommand{\pmrele}[5]{#1\{\pmhat{#2}\pmhat{#3}#4(#2, #3)\}#5}
-\newcommand{\pmrelep}[3]{#1\{#2\}#3}
-\newcommand{\pmrcmp}[1]{\ooalign{$\hidewidth\raisebox{.25em}{$\cdot$}\hidewidth$\cr$\mathbf{\pmccmp}$}#1}
-\newcommand{\pmrmin}[2]{#1\mathrel{\ooalign{$\hidewidth\raisebox{.25em}{$\cdot$}\hidewidth$\cr$\mathbf{\pmccmp}$}}#2}
-\newcommand{\pmrexists}{\dot{\mathop{\text{\raisebox{.5em}{\rotatebox{180}{E}}}}}\mathop{\pmshr}}
-\newcommand{\pmcrel}[1]{\breve{#1}}
-\newcommand{\pmCnv}{\text{Cnv}}
-\newcommand{\pmcnv}[1]{\breve{#1}}
-\newcommand{\pmcnvr}[1]{\text{Cnv}\textbf{`}#1}
-\newcommand{\pmrcup}{\mathrel{\ooalign{$\hidewidth\cdot\hidewidth$\cr$\mathbf{\pmccup}$}}}
-\newcommand{\pmrcap}{\mathrel{\ooalign{$\hidewidth\raisebox{.3em}{$\cdot$}\hidewidth$\cr$\mathbf{\pmccap}$}}}
-\newcommand{\pmrinc}{\mathrel{\ooalign{$\hidewidth\cdot\hidewidth$\cr$\mathbf{\pmcinc}$}}}
-\newcommand{\pmrrf}[2]{\overset{\boldsymbol{\rightarrow}}{#1\textbf{`}}#2}
-\newcommand{\pmRrf}[1]{\overset{\boldsymbol{\rightarrow}}{#1}}
-\newcommand{\pmrrl}[2]{\overset{\boldsymbol{\leftarrow}}{#1\textbf{`}}#2}
-\newcommand{\pmRrl}[1]{\overset{\boldsymbol{\leftarrow}}{#1}}
-\newcommand{\pmsg}[1]{\text{sg}\textbf{`}#1}
-\newcommand{\pmgs}[1]{\text{gs}\textbf{`}#1}
-\newcommand{\pmSg}{\text{sg}}
-\newcommand{\pmGs}{\text{gs}}
-\newcommand{\pmRprd}{\mathop{|}}
-\newcommand{\pmrprd}[2]{{#1}\mathop{|}{#2}}
-\newcommand{\pmrprdn}[2]{#1^{#2}}
-\newcommand{\pmrld}[2]{#1 \boldsymbol{\upharpoonleft} #2}
-\newcommand{\pmrlcd}[2]{#1 \boldsymbol{\upharpoonright} #2}
-\newcommand{\pmrlf}[3]{#1 \boldsymbol{\upharpoonleft} #2 \boldsymbol{\upharpoonright} #3}
-\newcommand{\pmrl}[2]{#1 \boldsymbol{\uparrow} #2}
-\newcommand{\pmrlF}[2]{#1 \mathbin{\ooalign{$\upharpoonright$\cr\hidewidth\rotatebox[origin=c]{180}{\text{$\upharpoonleft$}}\hidewidth\cr}} #2}
-\newcommand{\pmop}{\mathop{\text{\Female}}}
-\newcommand{\pmopc}[2]{#1 \mathop{\underset{\textbf{''}}{\text{\Female}}} #2}
-
-%Products and sums of classes of classes or relations
-\newcommand{\pmccsum}[1]{p\textbf{`}#1}
-\newcommand{\pmccprd}[1]{s\textbf{`}#1}
-\newcommand{\pmcrsum}[1]{\dot{p}\textbf{`}#1}
-\newcommand{\pmcrprd}[1]{\dot{s}\textbf{`}#1}
-\newcommand{\pmRprdd}{\mathop{||}}
-\newcommand{\pmrprdd}[2]{{#1}\mathop{||}{#2}}
-
-%Identity and Diversity
-\newcommand{\pmrid}{I}
-\newcommand{\pmrdiv}{J}
-\newcommand{\pmcunit}[1]{\iota\textbf{`}#1}
-\newcommand{\pmcUnit}{\iota}
-\newcommand{\pmcunits}[1]{\breve{\iota}\textbf{`}#1}
-
-%Cardinal numbers
-\newcommand{\pmcn}[1]{#1}
-
-%Ordinal numbers
-\newcommand{\pmrn}[1]{#1_r}
-\newcommand{\pmdn}[1]{\dot{#1}}
-\newcommand{\pmoc}[2]{#1 \boldsymbol{\downarrow} #2}
-
-%Subclasses and subrelations
-\newcommand{\pmscl}[1]{\text{Cl}\textbf{`}#1}
-\newcommand{\pmsCl}{\text{Cl}}
-\newcommand{\pmscle}[1]{\text{Cl ex}\textbf{`}#1}
-\newcommand{\pmsCle}{\text{Cl ex}}
-\newcommand{\pmscls}[1]{\text{Cls}\textbf{`}#1}
-\newcommand{\pmsrl}[1]{\text{Rl}\textbf{`}#1}
-\newcommand{\pmsRl}{\text{Rl}}
-\newcommand{\pmsrle}[1]{\text{Rl ex}\textbf{`}#1}
-\newcommand{\pmsRle}{\text{Rl ex}}
-\newcommand{\pmsrel}[1]{\text{Rel}\textbf{`}#1}
-\newcommand{\pmRel}{\text{Rel}}
-\newcommand{\pmReln}[1]{\text{Rel}^{#1}}
-\newcommand{\pmrin}{\mathop{\boldsymbol{\epsilon}}}
-
-%Relative type symbols
-\newcommand{\pmrt}[1]{t\textbf{`}#1}
-\newcommand{\pmrti}[2]{t^{#1}\textbf{`}#2}
-\newcommand{\pmrtc}[2]{t_{#1}\textbf{`}#2}
-\newcommand{\pmrtri}[2]{t^{#1}\textbf{`}#2}
-\newcommand{\pmrtrc}[2]{t_{#1}\textbf{`}#2}
-\newcommand{\pmrtrci}[3]{t_{#1}^{\text{ }#2}\textbf{`}#3}
-\newcommand{\pmrtric}[3]{^{#1}t_{#2}\textbf{`}#3}
-\newcommand{\pmrtdi}[2]{#1_{#2}}
-\newcommand{\pmrtdc}[2]{#1(#2)}
-\newcommand{\pmrtdri}[2]{#1_{#2}}
-\newcommand{\pmrtdrc}[2]{#1(#2)}
-
-%Similarity relation signs
-\newcommand{\pmrdc}[2]{#1\boldsymbol{\to}#2}
-\newcommand{\pmsm}{\mathrel{\text{sm}}}
-\newcommand{\pmsmbar}{\mathrel{\overline{\text{sm}}}}
-\newcommand{\pmsmarr}{\overrightarrow{{\pmsm}}}
-\newcommand{\pmonemany}{1\boldsymbol{\to}\pmCls}
-\newcommand{\pmmanyone}{\pmCls\boldsymbol{\to}1}
-\newcommand{\pmoneone}{1\boldsymbol{\to}1}
-
-%Selections
-\newcommand{\pmselp}[1]{P_{\small\Delta}\mathbf{`}#1}
-\newcommand{\pmSelp}{P_{\Delta}}
-\newcommand{\pmsele}[1]{\pmcin_{\small\Delta}\mathbf{`}#1}
-\newcommand{\pmSele}{\pmcin_{\Delta}}
-\newcommand{\pmself}[1]{F_{\small\Delta}\mathbf{`}#1}
-\newcommand{\pmSelf}{F_{\Delta}}
-\newcommand{\pmex}[1]{\text{Cls} \mathop{\text{excl}}\mathbf{`}#1}
-\newcommand{\pmexc}{\text{Cls}^2 \mathop{\text{excl}}}
-\newcommand{\pmexcc}[1]{\text{Cl} \mathop{\text{excl}}\textbf{`}#1}
-\newcommand{\pmexcn}{\text{Cls} \mathop{\text{ex}^2} \mathop{\text{excl}}}
-\newcommand{\pmselc}[2]{#1 \mathrel{\rotatebox[origin=c]{270}{$\boldsymbol{\mapsto}$}} #2}
-\newcommand{\pmmultr}{\mathop{\text{Rel}} \mathop{\text{Mult}}}
-\newcommand{\pmmultc}{\mathop{\text{Cls}^2} \mathop{\text{Mult}}}
-\newcommand{\pmmultax}{\mathop{\text{Mult}} \mathop{\text{ax}}}
-
-%Inductive relations
-\newcommand{\pmanc}[1]{#1_\pmast}
-\newcommand{\pmancc}[1]{\pmcnv{#1}_\pmast}
-\newcommand{\pmrst}[1]{#1_\text{st}}
-\newcommand{\pmrts}[1]{#1_\text{ts}}
-\newcommand{\pmpot}[1]{\text{Pot}\mathbf{`}#1}
-\newcommand{\pmpotid}[1]{\text{Potid}\mathbf{`}#1}
-\newcommand{\pmpo}[1]{#1_\text{po}}
-\newcommand{\pmB}{B}
-\newcommand{\pmmin}[1]{\text{min}_{#1}}
-\newcommand{\pmmax}[1]{\text{max}_{#1}}
-\newcommand{\pmMin}{\text{min}}
-\newcommand{\pmMax}{\text{max}}
-\newcommand{\pmgen}[1]{\text{gen}\mathbf{`}#1}
-\newcommand{\pmGen}{\text{gen}}
-\newcommand{\pmefr}[2]{#1\pmast#2}
-\newcommand{\pmipr}[2]{I_{#1}\textbf{`}#2}
-\newcommand{\pmjpr}[2]{J_{#1}\textbf{`}#2}
-\newcommand{\pmfr}[2]{\overset{\boldsymbol{\leftrightarrow}}{#1}\textbf{`}#2}
-
-%Cardinality
-\newcommand{\pmnc}[1]{\text{Nc}\textbf{`}#1}
-\newcommand{\pmNc}{\text{Nc}}
-\newcommand{\pmNC}{\text{NC}}
-\newcommand{\pmnoc}[1]{\text{N}_0\text{c}\textbf{`}#1}
-\newcommand{\pmNoc}{\text{N}_0\text{c}}
-\newcommand{\pmnocind}[1]{\text{N}_0\text{Cinduct}\textbf{`}#1}
-\newcommand{\pmNocind}{\text{N}_0\text{Cinduct}}
-
-\newcommand{\pmclsrefl}{\text{Cls} \mathop{\text{refl}}}
-\newcommand{\pmncrefl}{\text{NC} \mathop{\text{refl}}}
\ No newline at end of file |