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<b>let </b><font color="Maroon">R</font> be   <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">V</font> be    <a href="modcat_1.html#M1" target="_self">LeftMod_DOMAIN</a> of <font color="Maroon">R</font>;<br/><b>let </b><font color="Maroon">g</font> be    <a href="modcat_1.html#M4" target="_self">Element</a> of  <a href="modcat_1.html#K4" target="_self">Morphs</a> <font color="Maroon">V</font>, <font color="Maroon">f</font> be    <a href="modcat_1.html#M4" target="_self">Element</a> of  <a href="modcat_1.html#K4" target="_self">Morphs</a> <font color="Maroon">V</font>;<br/>





<a NAME="E1:29"/>
(  <a href="mod_2.html#K2">dom</a> <font color="Maroon">g</font> <a href="hidden.html#R1">=</a>  <a href="modcat_1.html#K5" target="_self">dom'</a> <font color="Maroon">g</font> &amp;  <a href="mod_2.html#K3">cod</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a>  <a href="modcat_1.html#K6" target="_self">cod'</a> <font color="Maroon">f</font> )
 
;<br/>
<b>hence </b><a NAME="E2:29"/>
( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">g</font>,<font color="Maroon">f</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="modcat_1.html#K11" target="_self">comp</a> <font color="Maroon">V</font></span>)</span> iff  <a href="mod_2.html#K2">dom</a> <font color="Maroon">g</font> <a href="hidden.html#R1">=</a>  <a href="mod_2.html#K3">cod</a> <font color="Maroon">f</font> )
 <b>by </b><i/>;<br/>


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