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<span class="kw">consider </span><font color="Maroon" title="c3">A</font> being    <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> over <font color="Maroon" title="c1">S</font><span class="kw"> such that </span><br/><a NAME="E2:56_1_1"/><span class="lab"><font color="Green" title="E33">A1</font></span>: 
<font color="Maroon" title="c3">A</font> is  <a href="circcomb.html#V4" title="CIRCCOMB:attr.4">gate`2=den</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="circcomb.html#D11" onmouseover="rs('circcomb/D11')" onmouseout="rh()">CIRCCOMB:def 11</a></span>;<br/>
<font color="Maroon" title="c2">g</font> <a href="xfamily.html#K2" title="XFAMILY:func.2">`2</a>  = 
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">g</font> <a href="xfamily.html#K1" title="XFAMILY:func.1">`1</a></span>)</span>,<span class="p2">(<span class="default"> the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Charact</a> of <font color="Maroon" title="c3">A</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">g</font></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="xfamily.html#K2" title="XFAMILY:func.2">`2</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:56_1_1"><span class="lab"><font color="Green" title="E33">A1</font></span></a></span>
<br/>.= 
 the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Charact</a> of <font color="Maroon" title="c3">A</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c2">g</font>

<br/>.= 
 <a href="msualg_1.html#K5" title="MSUALG_1:func.5">Den</a> (<font color="Maroon" title="c2">g</font>,<font color="Maroon" title="c3">A</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="msualg_1.html#D6" onmouseover="rs('msualg_1/D6')" onmouseout="rh()">MSUALG_1:def 6</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E4:56_1_1"/>
 for <font color="Olive">b<sub>1</sub></font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">g</font> <a href="xfamily.html#K2" title="XFAMILY:func.2">`2</a>  holds <br/>( <font color="Olive">b<sub>1</sub></font> is  <a href="funct_1.html#V1" title="FUNCT_1:attr.1">Function-like</a>  &amp; <font color="Olive">b<sub>1</sub></font> is  <a href="relat_1.html#V1" title="RELAT_1:attr.1">Relation-like</a>  )
 ; <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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