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<span class="kw">set </span><font color="Maroon" title="c3">G</font> =  the  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</a>() <a href="finset_1.html#V2" title="FINSET_1:attr.2">V32</a>()  <a href="pboole.html#M3" title="PBOOLE:mode.3">ManySortedSubset</a> of  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c2">A</font>;<br/>
<span class="kw">take </span>
 <a href="msualg_2.html#K12" title="MSUALG_2:func.12">GenMSAlg</a>  the  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</a>() <a href="finset_1.html#V2" title="FINSET_1:attr.2">V32</a>()  <a href="pboole.html#M3" title="PBOOLE:mode.3">ManySortedSubset</a> of  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c2">A</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"> (  <a href="msualg_2.html#K12" title="MSUALG_2:func.12">GenMSAlg</a>  the  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</a>() <a href="finset_1.html#V2" title="FINSET_1:attr.2">V32</a>()  <a href="pboole.html#M3" title="PBOOLE:mode.3">ManySortedSubset</a> of  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c2">A</font> is  <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a>  &amp;  <a href="msualg_2.html#K12" title="MSUALG_2:func.12">GenMSAlg</a>  the  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</a>() <a href="finset_1.html#V2" title="FINSET_1:attr.2">V32</a>()  <a href="pboole.html#M3" title="PBOOLE:mode.3">ManySortedSubset</a> of  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c2">A</font> is  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  &amp;  <a href="msualg_2.html#K12" title="MSUALG_2:func.12">GenMSAlg</a>  the  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</a>() <a href="finset_1.html#V2" title="FINSET_1:attr.2">V32</a>()  <a href="pboole.html#M3" title="PBOOLE:mode.3">ManySortedSubset</a> of  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c2">A</font> is  <a href="msafree2.html#V3" title="MSAFREE2:attr.3">finitely-generated</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E1:25_1_1"/>
(  <a href="msualg_2.html#K12" title="MSUALG_2:func.12">GenMSAlg</a>  the  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</a>() <a href="finset_1.html#V2" title="FINSET_1:attr.2">V32</a>()  <a href="pboole.html#M3" title="PBOOLE:mode.3">ManySortedSubset</a> of  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c2">A</font> is  <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a>  &amp;  <a href="msualg_2.html#K12" title="MSUALG_2:func.12">GenMSAlg</a>  the  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</a>() <a href="finset_1.html#V2" title="FINSET_1:attr.2">V32</a>()  <a href="pboole.html#M3" title="PBOOLE:mode.3">ManySortedSubset</a> of  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c2">A</font> is  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  &amp;  <a href="msualg_2.html#K12" title="MSUALG_2:func.12">GenMSAlg</a>  the  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V2</a>() <a href="finset_1.html#V2" title="FINSET_1:attr.2">V32</a>()  <a href="pboole.html#M3" title="PBOOLE:mode.3">ManySortedSubset</a> of  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c2">A</font> is  <a href="msafree2.html#V3" title="MSAFREE2:attr.3">finitely-generated</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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