In FriCAS Equalizer (See: LimitsAndColimits) can be defined as a
SubDomain as follows, but this does not work in the most recent
version of OpenAxiom
\begin{axiom}
)version
\end{axiom}
which produces the error message:
predicate =f(#1)g(#1) is not simple enough
\begin{spad}
)abbrev domain EQLZR Equalizer
Equalizer(X:SetCategory?,Y:SetCategory?,f:X->Y, g:X->Y): SetCategory? with
eq: % -> X
== SubDomain(X,f #1 = g #1) add
--
eq(x:%):X == x pretend X
)abbrev package EQLZF EqualizerFunctions?
EqualizerFunctions?(X:SetCategory?,Y:SetCategory?,f:X->Y,g:X->Y, M:SetCategory?,m:M->X): with
u: M->Equalizer(X,Y,f,g)
== add
--
u(x:M):Equalizer(X,Y,f,g) == m(x) pretend Equalizer(X,Y,f,g)
\end{spad}
\begin{axiom}
)show Equalizer(Float,Float,sin,cos)
\end{axiom}
Some or all expressions may not have rendered properly,
because Axiom returned the following error:
Error: export AXIOM=/usr/local/lib/open-axiom/x86_64-unknown-linux/1.3.0-2009-01-05; export ALDORROOT=/usr/local/aldor/linux/1.1.0; export PATH=$ALDORROOT/bin:$PATH; export HOME=/var/zope2/var/LatexWiki; ulimit -t 600; export LD_LIBRARY_PATH=/usr/local/lib/open-axiom/x86_64-unknown-linux/1.3.0-2009-01-05/lib; LANG=en_US.UTF-8 $AXIOM/bin/AXIOMsys < /var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/672348679331446838-25px.axm
/bin/sh: /usr/local/lib/open-axiom/x86_64-unknown-linux/1.3.0-2009-01-05/bin/AXIOMsys: not found
Some or all expressions may not have rendered properly,
because Latex returned the following error:
This is pdfTeXk, Version 3.141592-1.40.3 (Web2C 7.5.6)
\write18 enabled.
%&-line parsing enabled.
entering extended mode
(./1167375968248853184-16.0px.tex
LaTeX2e <2005/12/01>
Babel <v3.8h> and hyphenation patterns for english, usenglishmax, dumylang, noh
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ak, danish, dutch, finnish, basque, french, german, ngerman, ibycus, greek, mon
ogreek, ancientgreek, hungarian, italian, latin, mongolian, norsk, icelandic, i
nterlingua, turkish, coptic, romanian, welsh, serbian, slovenian, estonian, esp
eranto, uppersorbian, indonesian, polish, portuguese, spanish, catalan, galicia
n, swedish, ukenglish, pinyin, loaded.
(/usr/share/texmf-texlive/tex/latex/base/article.cls
Document Class: article 2005/09/16 v1.4f Standard LaTeX document class
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For additional information on amsmath, use the `? option.
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) (/usr/share/texmf-texlive/tex/generic/xypic/xy.sty
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docmode, (/usr/share/texmf-texlive/tex/generic/xypic/xyrecat.tex)
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Xy-pic version 3.7 <1999/02/16>
Copyright (c) 1991-1998 by Kristoffer H. Rose <krisrose@ens-lyon.fr>
Xy-pic is free software: see the User's Guide for details.
Loading kernel: messages; fonts; allocations: state, direction,
utility macros; pictures: \xy, positions, objects, decorations;
kernel objects: directionals, circles, text; options; algorithms: directions,
edges, connections; Xy-pic loaded))
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Writing sage input file 1167375968248853184-16.0px.sage
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LaTeX Warning: Characters dropped after `\end{axiom}' on input line 123.
You can't use `macro parameter character #' in horizontal mode.
l.128 == SubDomain(X,f #
1 = g #1) add
You can't use `macro parameter character #' in horizontal mode.
l.128 == SubDomain(X,f #1 = g #
1) add
[1]
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(see the transcript file for additional information)
Output written on 1167375968248853184-16.0px.dvi (2 pages, 1316 bytes).
Transcript written on 1167375968248853184-16.0px.log.