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<span class="kw">let </span><font color="Maroon" title="c1">U1</font> be   <a href="unialg_1.html#NM1" title="UNIALG_1:NM.1">Universal_Algebra</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">  for <font color="Olive" title="b1">o</font> being   <a href="msualg_1.html#NM2" title="MSUALG_1:NM.2">OperSymbol</a> of <span class="p1">(<span class="default"><a href="msualg_1.html#K6" title="MSUALG_1:func.6">MSSign</a> <font color="Maroon" title="c1">U1</font></span>)</span> holds   <a href="msualg_1.html#K5" title="MSUALG_1:func.5">Den</a> (<font color="Olive" title="b1">o</font>,<span class="p1">(<span class="default"><a href="msualg_1.html#K9" title="MSUALG_1:func.9">MSAlg</a> <font color="Maroon" title="c1">U1</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="unialg_1.html#U1" title="UNIALG_1:sel.1">charact</a> of <font color="Maroon" title="c1">U1</font> <a href="partfun1.html#K8" title="PARTFUN1:func.8">.</a> <font color="Olive" title="b1">o</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">o</font> be   <a href="msualg_1.html#NM2" title="MSUALG_1:NM.2">OperSymbol</a> of <span class="p1">(<span class="default"><a href="msualg_1.html#K6" title="MSUALG_1:func.6">MSSign</a> <font color="Maroon" title="c1">U1</font></span>)</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">  <a href="msualg_1.html#K5" title="MSUALG_1:func.5">Den</a> (<font color="Maroon" title="c2">o</font>,<span class="p1">(<span class="default"><a href="msualg_1.html#K9" title="MSUALG_1:func.9">MSAlg</a> <font color="Maroon" title="c1">U1</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="unialg_1.html#U1" title="UNIALG_1:sel.1">charact</a> of <font color="Maroon" title="c1">U1</font> <a href="partfun1.html#K8" title="PARTFUN1:func.8">.</a> <font color="Maroon" title="c2">o</font></span><br/>



<a NAME="E1:14"/>
 <a href="msualg_1.html#K9" title="MSUALG_1:func.9">MSAlg</a> <font color="Maroon" title="c1">U1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="msualg_1.html#G3" title="MSUALG_1:aggr.3">MSAlgebra</a>(# <span class="p1">(<span class="default"><a href="msualg_1.html#K7" title="MSUALG_1:func.7">MSSorts</a> <font color="Maroon" title="c1">U1</font></span>)</span>,<span class="p1">(<span class="default"><a href="msualg_1.html#K8" title="MSUALG_1:func.8">MSCharact</a> <font color="Maroon" title="c1">U1</font></span>)</span> #)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="msualg_1.html#D11" onmouseover="rs('msualg_1/D11')" onmouseout="rh()">MSUALG_1:def 11</a></span>;<br/>
<span class="kw">hence </span> <a href="msualg_1.html#K5" title="MSUALG_1:func.5">Den</a> (<font color="Maroon" title="c2">o</font>,<span class="p1">(<span class="default"><a href="msualg_1.html#K9" title="MSUALG_1:func.9">MSAlg</a> <font color="Maroon" title="c1">U1</font></span>)</span>) = 
<span class="p1">(<span class="default"><a href="msualg_1.html#K8" title="MSUALG_1:func.8">MSCharact</a> <font color="Maroon" title="c1">U1</font></span>)</span> <a href="msualg_3.html#K1" title="MSUALG_3:func.1">.</a> <font color="Maroon" title="c2">o</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/>.= 
 the <a href="unialg_1.html#U1" title="UNIALG_1:sel.1">charact</a> of <font color="Maroon" title="c1">U1</font> <a href="partfun1.html#K8" title="PARTFUN1:func.8">.</a> <font color="Maroon" title="c2">o</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="msualg_1.html#D10" onmouseover="rs('msualg_1/D10')" onmouseout="rh()">MSUALG_1:def 10</a></span>
;<br/> <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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