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Warning: this is an htmlized version!
The original is here, and the conversion rules are here. |
% (find-LATEX "2020draw-on-tree.tex")
% (defun c () (interactive) (find-LATEXsh "lualatex -record 2020draw-on-tree.tex" :end))
% (defun D () (interactive) (find-pdf-page "~/LATEX/2020draw-on-tree.pdf"))
% (defun d () (interactive) (find-pdftools-page "~/LATEX/2020draw-on-tree.pdf"))
% (defun e () (interactive) (find-LATEX "2020draw-on-tree.tex"))
% (defun u () (interactive) (find-latex-upload-links "2020draw-on-tree"))
% (defun v () (interactive) (find-2a '(e) '(d)) (g))
% (find-pdf-page "~/LATEX/2020draw-on-tree.pdf")
% (find-sh0 "cp -v ~/LATEX/2020draw-on-tree.pdf /tmp/")
% (find-sh0 "cp -v ~/LATEX/2020draw-on-tree.pdf /tmp/pen/")
% file:///home/edrx/LATEX/2020draw-on-tree.pdf
% file:///tmp/2020draw-on-tree.pdf
% file:///tmp/pen/2020draw-on-tree.pdf
% http://angg.twu.net/LATEX/2020draw-on-tree.pdf
% (find-LATEX "2019.mk")
% (code-etex "dot" "2020draw-on-tree")
\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{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")
%:
%: x,y|Pxy,Qx,Rx⊢Sx
%: ----------------(→I)
%: x,y|Pxy,Qx⊢Rx→Sx
%: ------------------(→I)
%: x,y|Pxy⊢Qx→(Rx→Sx)
%: -------------------(∃R)
%: x|∃y.Pxy⊢Qx→(Rx→Sx)
%: -------------------(→E)
%: x,y|Pxy,Qx,Rx⊢Sx x|∃y.Pxy,Qx⊢Rx→Sx
%: -----------------(∃E) -----------------(→E)
%: x|∃y.Pxy,Qx,Rx⊢Sx x|∃y.Pxy,Qx,Rx⊢Sx
%:
%: ^ExE-1 ^ExE-2
%:
%:
%:
%: [Pxy]^3 [Qx]^2 [Rx]^1
%: :::::::::::::::::::::::
%: Sx
%: -----(→I);1
%: Rx→Sx
%: ----------(→I);2
%: ∃y.Pxy Qx→(Rx→Sx)
%: ---------------------(∃R);3
%: [Pxy]^1 Qx Rx Qx Qx→(Rx→Sx)
%: ::::::::::::::: ------------------(→E)
%: ∃y.Pxy Sx Rx Rx→Sx
%: -----------------(∃E);1 -----------(→E)
%: Sx Sx
%:
%: ^ExE-1-ND ^ExE-2-ND
%:
%:
%:
\pu
$$\ded{ExE-1-ND} \quad ⇒ \quad \ded{ExE-2-ND}$$
$$\ded{ExE-1} \quad ⇒ \quad \ded{ExE-2}$$
\ded{ExE-2-ND}
% (find-dn6 "diagforth.lua" "BOX")
% (find-angg ".emacs.templates" "find-latexinkscape-links")
% (find-latexinkscape-links "2020draw-on-tree/ExE-ND-blobs")
\includegraphics[width=2cm]{2020draw-on-tree/ExE-ND-blobs.pdf}
\end{document}
% __ __ _
% | \/ | __ _| | _____
% | |\/| |/ _` | |/ / _ \
% | | | | (_| | < __/
% |_| |_|\__,_|_|\_\___|
%
% <make>
* (eepitch-shell)
* (eepitch-kill)
* (eepitch-shell)
# (find-LATEXfile "2019planar-has-1.mk")
make -f 2019.mk STEM=2020draw-on-tree veryclean
make -f 2019.mk STEM=2020draw-on-tree pdf
% Local Variables:
% coding: utf-8-unix
% ee-tla: "dot"
% End: