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<b>set </b><font color="Maroon" title="c5">C</font> =  <a href="msualg_1.html#G3" title="MSUALG_1:aggr.3">MSAlgebra</a>(# <span class="p1">(<span class="default"><font color="Maroon" title="c3">X</font> <a href="circtrm1.html#K4" title="CIRCTRM1:func.4">-CircuitSorts</a> <font color="Maroon" title="c4">A</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">X</font> <a href="circtrm1.html#K5" title="CIRCTRM1:func.5">-CircuitCharact</a> <font color="Maroon" title="c4">A</font></span>)</span> #);<br/>
<a NAME="E1:30_1_1"/>
 <a href="msualg_1.html#G3" title="MSUALG_1:aggr.3">MSAlgebra</a>(# <span class="p1">(<span class="default"><font color="Maroon" title="c3">X</font> <a href="circtrm1.html#K4" title="CIRCTRM1:func.4">-CircuitSorts</a> <font color="Maroon" title="c4">A</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">X</font> <a href="circtrm1.html#K5" title="CIRCTRM1:func.5">-CircuitCharact</a> <font color="Maroon" title="c4">A</font></span>)</span> #) is <a href="msualg_1.html#V5" title="MSUALG_1:attr.5">non-empty</a>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="30_1_1_1"><b>proof </b></a><div class="add">

<b>thus </b><a NAME="E1:30_1_1_1"/>
the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Sorts</a> of <a href="msualg_1.html#G3" title="MSUALG_1:aggr.3">MSAlgebra</a>(# <span class="p1">(<span class="default"><font color="Maroon" title="c3">X</font> <a href="circtrm1.html#K4" title="CIRCTRM1:func.4">-CircuitSorts</a> <font color="Maroon" title="c4">A</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">X</font> <a href="circtrm1.html#K5" title="CIRCTRM1:func.5">-CircuitCharact</a> <font color="Maroon" title="c4">A</font></span>)</span> #) is <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="msualg_1.html#D8" title="MSUALG_1:def.8">MSUALG_1:def 8</a><br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:30_1_1"/>
 <a href="msualg_1.html#G3" title="MSUALG_1:aggr.3">MSAlgebra</a>(# <span class="p1">(<span class="default"><font color="Maroon" title="c3">X</font> <a href="circtrm1.html#K4" title="CIRCTRM1:func.4">-CircuitSorts</a> <font color="Maroon" title="c4">A</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">X</font> <a href="circtrm1.html#K5" title="CIRCTRM1:func.5">-CircuitCharact</a> <font color="Maroon" title="c4">A</font></span>)</span> #) is  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">strict</a> <a href="msualg_1.html#V5" title="MSUALG_1:attr.5">non-empty</a>  <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> of <font color="Maroon" title="c3">X</font> <a href="circtrm1.html#K1" title="CIRCTRM1:func.1">-CircuitStr</a> 
 ;<br/>


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