% (find-LATEX "2020lambek-scott.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2020lambek-scott.tex" :end))
% (defun d () (interactive) (find-pdf-page      "~/LATEX/2020lambek-scott.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2020lambek-scott.pdf"))
% (defun e () (interactive) (find-LATEX "2020lambek-scott.tex"))
% (defun u () (interactive) (find-latex-upload-links "2020lambek-scott"))
% (defun v () (interactive) (find-2a '(e) '(d)) (g))
% (find-pdf-page   "~/LATEX/2020lambek-scott.pdf")
% (find-sh0 "cp -v  ~/LATEX/2020lambek-scott.pdf /tmp/")
% (find-sh0 "cp -v  ~/LATEX/2020lambek-scott.pdf /tmp/pen/")
%   file:///home/edrx/LATEX/2020lambek-scott.pdf
%               file:///tmp/2020lambek-scott.pdf
%           file:///tmp/pen/2020lambek-scott.pdf
% http://angg.twu.net/LATEX/2020lambek-scott.pdf
% (find-LATEX "2019.mk")

\documentclass[oneside,12pt]{article}
\usepackage[colorlinks,citecolor=DarkRed,urlcolor=DarkRed]{hyperref} % (find-es "tex" "hyperref")
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{pict2e}
\usepackage{indentfirst}
\usepackage[x11names,svgnames]{xcolor} % (find-es "tex" "xcolor")
%\usepackage{colorweb}                 % (find-es "tex" "colorweb")
%\usepackage{tikz}
%
% (find-dn6 "preamble6.lua" "preamble0")
\usepackage{proof}   % For derivation trees ("%:" lines)
\input diagxy        % For 2D diagrams ("%D" lines)
\xyoption{curve}     % For the ".curve=" feature in 2D diagrams
%
\usepackage{edrx15}               % (find-LATEX "edrx15.sty")
\input edrxaccents.tex            % (find-LATEX "edrxaccents.tex")
\input edrxchars.tex              % (find-LATEX "edrxchars.tex")
\input edrxheadfoot.tex           % (find-LATEX "edrxheadfoot.tex")
\input edrxgac2.tex               % (find-LATEX "edrxgac2.tex")
%
%\usepackage[backend=biber,
%   style=alphabetic]{biblatex}            % (find-es "tex" "biber")
%\addbibresource{catsem-slides.bib}        % (find-LATEX "catsem-slides.bib")
%
% (find-es "tex" "geometry")
\begin{document}

\catcode`\^^J=10
\directlua{dofile "dednat6load.lua"}  % (find-LATEX "dednat6load.lua")


{\setlength{\parindent}{0em}
\footnotesize

Notes on Lambek and Scott's ``Introduction to Higher Order Categorical Logic''.

\ssk

These notes are at:

\url{http://angg.twu.net/LATEX/2020lambek-scott.pdf}

\ssk

See:

\url{http://angg.twu.net/LATEX/2020favorite-conventions.pdf}

\url{http://angg.twu.net/math-b.html\#favorite-conventions}

I wrote these notes mostly to test if the conventions above
are good enough.


}

% (find-books "__cats/__cats.el" "lambek-scott")
% (find-lambekscottpage (+ 8  19) "5. Limits in categories")
% (find-lambekscottpage (+ 8  20)   "Definition 5.3")
% (find-lambekscottpage (+ 8  22)   "Proposition 5.4 (Burroni). Equalizers...")

\section*{5. Limits in categories}

(Pages 20--22):

Definition 5.3 / Proposition 5.4 (Burroni):


%D diagram ??
%D 2Dx     100 +45 +30 +25
%D 2D  100 A4  A3
%D 2D
%D 2D  +30     A2  A1  A0
%D 2D
%D ren A4 A3       ==> E(fh,gh) D
%D ren    A2 A1 A0 ==>       E(f,g) A B
%D
%D (( A4 A3 <- sl^ .plabel= a δ(fh)
%D    A4 A3 -> sl_ .plabel= b α(fh,gh)
%D    A4 A2 -> .plabel= l \sm{γ(f,g,h):=\\β(f,g,hα(fh,gh))}
%D    A3 A2 -> .plabel= m β(f,g,h)
%D    A3 A1 -> .plabel= r h
%D    A3 A0 -> sl^ .curve= ^20pt .plabel= a fh
%D    A3 A0 -> sl_ .curve= ^20pt .plabel= b gh
%D    A2 A1 ->                   .plabel= b α(f,g)
%D    A1 A0 -> sl^               .plabel= a f
%D    A1 A0 -> sl_               .plabel= b g
%D
%D ))
%D enddiagram
%D
$$\pu
  \diag{??}
$$




%\printbibliography

\end{document}

%  __  __       _        
% |  \/  | __ _| | _____ 
% | |\/| |/ _` | |/ / _ \
% | |  | | (_| |   <  __/
% |_|  |_|\__,_|_|\_\___|
%                        
% <make>

 (eepitch-shell)
 (eepitch-kill)
 (eepitch-shell)
# (find-LATEXfile "2019planar-has-1.mk")
make -f 2019.mk STEM=2020lambek-scott veryclean
make -f 2019.mk STEM=2020lambek-scott pdf

% Local Variables:
% coding: utf-8-unix
% ee-tla: "lsc"
% End:
