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<?xml version="1.0"?>
<!--This OMDoc document is generated from an sTeX-encoded one via LaTeXML, you
may want to reconsider editing it.-->
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<omdoc:omgroup layout="sectioning" xml:id="sec.functions" about="#sec.functions" stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=1;0,to=18;13)">
<omdoc:metadata xml:id="sec.functions.metadata1" about="#sec.functions.metadata1" stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=1;0,to=18;13)">
<dc:title xml:id="sec.functions.metadata1.title1" about="#sec.functions.metadata1.title1" stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=1;0,to=18;13)">Functions</dc:title>
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<m:mo cr="fun">:</m:mo>
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<m:mo cr="fun">→</m:mo>
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<omdoc:rendering precedence="650">
<omdoc:render name="arg1" precedence="650"/>
<m:mo cr="fun">∈</m:mo>
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<om:OMS cd="functions" name="sseteq"/>
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<m:mo>⊆</m:mo>
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<omdoc:symbol name="sseteq" xml:id="functions.symbol9" about="#functions.symbol9" stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=7;0,to=7;50)"/>
<omdoc:notation cd="functions" name="sseteq" stex:macro_name="sseteq" stex:nargs="2" xml:id="functions.notation10" about="#functions.notation10" stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=7;0,to=7;50)">
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<m:mo cr="fun">⊆</m:mo>
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<m:mrow>
<m:mo stretchy="false">⟨</m:mo>
<omdoc:render name="arg1"/>
<m:mo stretchy="false">⟩</m:mo>
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<m:mo cr="fun">×</m:mo>
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<m:mo>\</m:mo>
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<omdoc:symbol name="setdiff" xml:id="functions.symbol16" about="#functions.symbol16" stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=11;0,to=11;59)"/>
<omdoc:notation cd="functions" name="setdiff" stex:macro_name="setdiff" stex:nargs="2" xml:id="functions.notation17" about="#functions.notation17" stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=11;0,to=11;59)">
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<omdoc:rendering precedence="600">
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<m:mo cr="fun">\</m:mo>
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<omdoc:symbol name="set" xml:id="functions.symbol18" about="#functions.symbol18" stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=12;0,to=12;62)"/>
<omdoc:notation cd="functions" name="set" stex:macro_name="set" stex:nargs="1" xml:id="functions.notation19" about="#functions.notation19" stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=12;0,to=12;62)">
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<om:OMA>
<om:OMS cd="functions" cr="fun" name="set"/>
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<m:mo cr="fun">{</m:mo>
<omdoc:iterate name="args" precedence="neginfty">
<omdoc:separator>
<m:mo cr="fun">,</m:mo>
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<omdoc:render name="arg" precedence="neginfty"/>
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<m:mo cr="fun">}</m:mo>
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<omdoc:symbol name="setst" xml:id="functions.symbol20" about="#functions.symbol20" stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=13;0,to=13;66)"/>
<omdoc:notation cd="functions" name="setst" stex:macro_name="setst" stex:nargs="2" xml:id="functions.notation21" about="#functions.notation21" stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=13;0,to=13;66)">
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<omdoc:CMP xml:id="functions.def.CMP1" about="#functions.def.CMP1" stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=14;0,to=14;36)">
<p xmlns="http://www.w3.org/1999/xhtml" id="functions.def.CMP1.p1" class="ltx_p" about="#functions.def.CMP1.p1" stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=14;0,to=14;36)">A <omdoc:term cd="functions" name="function" role="definiendum" xml:id="functions.def.CMP1.p1.term1" about="#functions.def.CMP1.p1.term1" stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=14;67,to=15;20)">function</omdoc:term> <om:OMOBJ stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=14;61,to=15;32)"><om:OMA><om:OMS cd="functions" name="fun"/><om:OMV name="𝑓"/><om:OMV name="𝐴"/><om:OMV name="𝐵"/></om:OMA></om:OMOBJ> is a left-total, right-unique relation in <om:OMOBJ stex:srcref="/Users/kohlhase/localmh/ext/sTeX/example/background/functions.tex#textrange(from=14;6,to=15;87)"><om:OMA><om:OMS cd="functions" name="cart"/><om:OMV name="𝐴"/><om:OMV name="𝐵"/></om:OMA></om:OMOBJ></p></omdoc:CMP>
</omdoc:definition>
</omdoc:theory>
</omdoc:omgroup>
</omdoc>
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