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<span class="kw">let </span><font color="Maroon" title="c3">r</font> be    <a href="field_5.html#M1" title="FIELD_5:mode.1">Renaming</a> of <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">Z</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c3">r</font> is <font color="Maroon" title="c1">X</font> <a href="relat_1.html#V4" title="RELAT_1:attr.4">-defined</a>  &amp; <font color="Maroon" title="c3">r</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  )</span><br/>

<a NAME="E1:58_1_1"/>
 <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Maroon" title="c3">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">X</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="field_5.html#D5" target="_self" onmouseover="rs('field_5/D5')" onmouseout="rh()">defr</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:58_1_1"/>
<font color="Maroon" title="c3">r</font> is <font color="Maroon" title="c1">X</font> <a href="relat_1.html#V4" title="RELAT_1:attr.4">-defined</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="relat_1.html#D18" onmouseover="rs('relat_1/D18')" onmouseout="rh()">RELAT_1:def 18</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c3">r</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a> </span><br/>

<span class="kw">thus </span><a NAME="E3:58_1_1"/>
<font color="Maroon" title="c3">r</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="field_5.html#D5" target="_self" onmouseover="rs('field_5/D5')" onmouseout="rh()">defr</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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