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% (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: