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Warning: this is an htmlized version!
The original is here, and the conversion rules are here. |
% (find-LATEX "2024leantt.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2024leantt.tex" :end))
% (defun C () (interactive) (find-LATEXSH "lualatex 2024leantt.tex" "Success!!!"))
% (defun D () (interactive) (find-pdf-page "~/LATEX/2024leantt.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2024leantt.pdf"))
% (defun e () (interactive) (find-LATEX "2024leantt.tex"))
% (defun u () (interactive) (find-latex-upload-links "2024leantt"))
% (defun v () (interactive) (find-2a '(e) '(d)))
% (defun cv () (interactive) (C) (ee-kill-this-buffer) (v) (g))
% (defun d0 () (interactive) (find-ebuffer "2024leantt.pdf"))
% (code-eec-LATEX "2024leantt")
% (find-pdf-page "~/LATEX/2024leantt.pdf")
% (find-sh0 "cp -v ~/LATEX/2024leantt.pdf /tmp/")
% (find-sh0 "cp -v ~/LATEX/2024leantt.pdf /tmp/pen/")
% file:///home/edrx/LATEX/2024leantt.pdf
% file:///tmp/2024leantt.pdf
% file:///tmp/pen/2024leantt.pdf
% http://anggtwu.net/LATEX/2024leantt.pdf
% (find-LATEX "2019.mk")
% (find-lualatex-links "2024leantt" "ltt")
\documentclass[oneside,12pt]{article}
\usepackage[colorlinks,citecolor=DarkRed,urlcolor=DarkRed]{hyperref} % (find-es "tex" "hyperref")
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{pict2e}
\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{edrx21} % (find-LATEX "edrx21.sty")
\input edrxaccents.tex % (find-LATEX "edrxaccents.tex")
\input edrx21chars.tex % (find-LATEX "edrx21chars.tex")
\input edrxheadfoot.tex % (find-LATEX "edrxheadfoot.tex")
\input edrxgac2.tex % (find-LATEX "edrxgac2.tex")
%\input 2017planar-has-defs.tex % (find-LATEX "2017planar-has-defs.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")
%L dofile "edrxtikz.lua" -- (find-LATEX "edrxtikz.lua")
%L dofile "edrxpict.lua" -- (find-LATEX "edrxpict.lua")
\pu
\def\pmatl#1{\left(
\begin{array}{llllllll}
#1
\end{array}
\right)}
\def\setof#1{\{#1\}}
$$Θ = \mathsf{Type}$$
$$\begin{array}{rcl}
Γ_2 &=&
\pmatl{
A:Θ & \{a:A\} \\
Ba:Θ & \{b:Ba\} \\
Cab:Θ & \{c:Cab\} \\
Dabc:Θ & \{d:Dabc\} \\
} \\
&=&
\pmatl{
A:Θ \\
B:(a:A)→Θ \\
C:(a:A)→(b:Ba)→Θ \\
D:(a:A)→(b:Ba)→(c:Cab)→Θ \\
} \\
\end{array}
$$
\bsk
%:
%: Ba:Θ \{a:A\}
%: -------------
%: B:(a:A)→Θ
%:
%: ^Ba
%:
%:
%: Cab:Θ \{b:Ba\}
%: ---------------
%: Ca:(b:Ba)→Θ \{a:A\}
%: ------------------------
%: C:(a:A)→(b:Ba)→Θ
%:
%: ^Cab
%:
%:
%: Dabc:Θ \{c:Cab\}
%: -----------------
%: Dab:(c:Cab)→Θ \{b:Ba\}
%: --------------------------
%: Da:(b:Ba)→(c:Cab)→Θ \{a:A\}
%: -----------------------------------
%: D:(a:A)→(b:Ba)→(c:Cab)→Θ
%:
%: ^Dabc
%:
\pu
$$\ded{Ba}$$
$$\ded{Cab}$$
$$\ded{Dabc}$$
\newpage
\def\Nat{\mathsf{Nat}}
\def\Int{\mathsf{Int}}
\def\P#1{\left(\myvcenter{#1}\right)}
%:
%: (x∈A) (x∈A)
%: ......... ........
%: a=c∈A b(x)∈B(x) a=c∈\Nat 2-x∈\Int
%: ---------------- ------------------
%: b(a)=b(c)∈B(a) 2-a=2-c∈\Int
%:
%: ^MartinLof1 ^MartinLof2
%:
\pu
$$\ded{MartinLof1} \qquad \ded{MartinLof2}$$
$$\P{\ded{MartinLof1}}
\bmat{A:=\Nat \\
B(x):=\Int \\
b(x):=2-x
}
=
\P{\ded{MartinLof2}}
$$
%\printbibliography
\GenericWarning{Success:}{Success!!!} % Used by `M-x cv'
\end{document}
% __ __ _
% | \/ | __ _| | _____
% | |\/| |/ _` | |/ / _ \
% | | | | (_| | < __/
% |_| |_|\__,_|_|\_\___|
%
% <make>
* (eepitch-shell)
* (eepitch-kill)
* (eepitch-shell)
# (find-LATEXfile "2019planar-has-1.mk")
make -f 2019.mk STEM=2024leantt veryclean
make -f 2019.mk STEM=2024leantt pdf
% Local Variables:
% coding: utf-8-unix
% ee-tla: "ltt"
% End: