148 lines
5.1 KiB
TeX
148 lines
5.1 KiB
TeX
\newcommand{\subsubsubsection}[1]{\textbf{#1}}
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\newcommand{\WIP}{\textbf{WIP}}
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\newcommand{\coloneqq}{\mathrel{\vcenter{\baselineskip0.5ex \lineskiplimit0pt
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\hbox{\scriptsize.}\hbox{\scriptsize.}}}%
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=}
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\newcommand{\defeq}{\mathrel{\triangleq}}
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%% Alternatively:
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%% \newcommand{\defeq}{≔}
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\newcommand{\bN}{\mathbb{N}}
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\newcommand{\bC}{ℂ}
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\newcommand{\bD}{𝔻}
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\newcommand{\bX}{𝕏}
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% \newcommand{\to}{\rightarrow}
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%% \newcommand{\mto}{\mapsto}
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\newcommand{\mto}{\rightarrow}
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\newcommand{\UU}{\ensuremath{\mathcal{U}}\xspace}
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\let\type\UU
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\newcommand{\MCU}{\UU}
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\newcommand{\todo}[1]{\textit{#1}}
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\newcommand{\comp}{\circ}
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\newcommand{\x}{\times}
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\newcommand\inv[1]{#1\raisebox{1.15ex}{$\scriptscriptstyle-\!1$}}
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\newcommand{\tp}{\mathrel{:}}
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\newcommand{\Type}{\mathcal{U}}
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\usepackage{graphicx}
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\makeatletter
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\newcommand{\shorteq}{%
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\settowidth{\@tempdima}{-}% Width of hyphen
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\resizebox{\@tempdima}{\height}{=}%
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}
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\makeatother
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\newcommand{\var}[1]{\ensuremath{\mathit{#1}}}
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\newcommand{\varindex}[1]{\ensuremath{\var{#1}}\index{$\var{#1}$}}
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\newcommand{\nomen}[2]{\emph{#1}\index{#2}}
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\newcommand{\nomenindex}[1]{\nomen{#1}{#1}}
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\newcommand{\Hom}{\varindex{Hom}}
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\newcommand{\fmap}{\varindex{fmap}}
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\newcommand{\bind}{\varindex{bind}}
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\newcommand{\join}{\varindex{join}}
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\newcommand{\omap}{\varindex{omap}}
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\newcommand{\pure}{\varindex{pure}}
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\newcommand{\idFun}{\varindex{id}}
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\newcommand{\Sets}{\varindex{Sets}}
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\newcommand{\Set}{\varindex{Set}}
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\newcommand{\hSet}{\varindex{hSet}}
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\newcommand{\id}{\varindex{id}}
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\newcommand{\isEquiv}{\varindex{isEquiv}}
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\newcommand{\idToIso}{\varindex{idToIso}}
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\newcommand{\idIso}{\varindex{idIso}}
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\newcommand{\isSet}{\varindex{isSet}}
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\newcommand{\isContr}{\varindex{isContr}}
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\newcommand{\isGroupoid}{\varindex{isGroupoid}}
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\newcommand{\pathJ}{\varindex{pathJ}}
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\newcommand\Object{\varindex{Object}}
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\newcommand\Functor{\varindex{Functor}}
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\newcommand\isProp{\varindex{isProp}}
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\newcommand\propPi{\varindex{propPi}}
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\newcommand\propSig{\varindex{propSig}}
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\newcommand\PreCategory{\varindex{PreCategory}}
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\newcommand\IsPreCategory{\varindex{IsPreCategory}}
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\newcommand\isIdentity{\varindex{isIdentity}}
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\newcommand\propIsIdentity{\varindex{propIsIdentity}}
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\newcommand\IsCategory{\varindex{IsCategory}}
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\newcommand\Gl{\varindex{\lambda}}
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\newcommand\lemPropF{\varindex{lemPropF}}
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\newcommand\isPreCategory{\varindex{isPreCategory}}
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\newcommand\congruence{\varindex{cong}}
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\newcommand\identity{\varindex{identity}}
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\newcommand\isequiv{\varindex{isequiv}}
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\newcommand\qinv{\varindex{qinv}}
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\newcommand\fiber{\varindex{fiber}}
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\newcommand\shufflef{\varindex{shuffle}}
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\newcommand\Univalent{\varindex{Univalent}}
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\newcommand\refl{\varindex{refl}}
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\newcommand\isoToId{\varindex{isoToId}}
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\newcommand\Isomorphism{\varindex{Isomorphism}}
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\newcommand\rrr{\ggg}
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%% \newcommand\fish{\mathbin{↣}}
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%% \newcommand\fish{\mathbin{⤅}}
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\newcommand\fish{\mathbin{⤇}}
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%% \newcommand\fish{\mathbin{⤜}}
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%% \newcommand\fish{\mathrel{\wideoverbar{\rrr}}}
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\newcommand\fst{\varindex{fst}}
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\newcommand\snd{\varindex{snd}}
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\newcommand\Path{\varindex{Path}}
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\newcommand\Category{\varindex{Category}}
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\newcommand\TODO[1]{TODO: \emph{#1}}
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\newcommand*{\QED}{\hfill\ensuremath{\square}}%
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\newcommand\uexists{\exists!}
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\newcommand\Arrow{\varindex{Arrow}}
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\newcommand\embellish[1]{\widehat{#1}}
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\newcommand\nattrans[1]{\embellish{#1}}
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\newcommand\functor[1]{\embellish{#1}}
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\newcommand\NTsym{\varindex{NT}}
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\newcommand\NT[2]{\NTsym\ #1\ #2}
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\newcommand\Endo[1]{\varindex{Endo}\ #1}
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\newcommand\EndoR{\functor{\mathcal{R}}}
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\newcommand\omapR{\mathcal{R}}
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\newcommand\omapF{\mathcal{F}}
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\newcommand\omapG{\mathcal{G}}
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\newcommand\FunF{\functor{\omapF}}
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\newcommand\FunG{\functor{\omapG}}
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\newcommand\funExt{\varindex{funExt}}
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\newcommand{\suc}[1]{\varindex{suc}\ #1}
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\newcommand{\trans}{\varindex{trans}}
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\newcommand{\toKleisli}{\varindex{toKleisli}}
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\newcommand{\toMonoidal}{\varindex{toMonoidal}}
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\newcommand\pairA{\mathcal{A}}
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\newcommand\pairB{\mathcal{B}}
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\newcommand{\joinNT}{\functor{\varindex{join}}}
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\newcommand{\pureNT}{\functor{\varindex{pure}}}
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\newcommand{\hrefsymb}[2]{\href{#1}{#2 \ExternalLink}}
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\newcommand{\sourcebasepath}{http://web.student.chalmers.se/\textasciitilde hanghj/cat/doc/html/}
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\newcommand{\docbasepath}{https://github.com/fredefox/cat/}
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\newcommand{\sourcelink}[1]{\hrefsymb
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{\sourcebasepath#1.html}
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{\texttt{#1}}
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}
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\newcommand{\gitlink}{\hrefsymb{\docbasepath}{\texttt{\docbasepath}}}
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\newcommand{\doclink}{\hrefsymb{\sourcebasepath}{\texttt{\sourcebasepath}}}
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\newcommand{\clll}{\mathrel{\bC.\mathord{\lll}}}
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\newcommand{\dlll}{\mathrel{\bD.\mathord{\lll}}}
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\newcommand\coe{\varindex{coe}}
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\newcommand\Monoidal{\varindex{Monoidal}}
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\newcommand\Kleisli{\varindex{Kleisli}}
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\newcommand\I{\mathds{I}}
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\makeatletter
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\DeclareRobustCommand\bigop[1]{%
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\mathop{\vphantom{\sum}\mathpalette\bigop@{#1}}\slimits@
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}
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\newcommand{\bigop@}[2]{%
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\vcenter{%
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\sbox\z@{$#1\sum$}%
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\hbox{\resizebox{\ifx#1\displaystyle.7\fi\dimexpr\ht\z@+\dp\z@}{!}{$\m@th#2$}}%
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}%
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}
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\makeatother
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\renewcommand{\llll}{\mathbin{\bigop{\lll}}}
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\renewcommand{\rrrr}{\mathbin{\bigop{\rrr}}}
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%% \newcommand{\llll}{lll}
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%% \newcommand{\rrrr}{rrr}
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