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<b>consider </b><font color="Maroon" title="c2">U1</font> being  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a> <a href="osalg_1.html#NM5" title="OSALG_1:NM.5">OSAlgebra</a> of <font color="Maroon" title="c1">S</font>;<br/>
<b>reconsider </b><font color="Maroon" title="c3">X</font> = the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c2">U1</font> as  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V5</a> <a href="struct_0.html#NM8" title="STRUCT_0:NM.8">ManySortedSet</a> of <font color="Maroon" title="c1">S</font> ;<br/>
<b>take </b>
 <a href="osafree.html#K16" title="OSAFREE:func.16">FreeOSA</a> <font color="Maroon" title="c3">X</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  <a href="osafree.html#K16" title="OSAFREE:func.16">FreeOSA</a> <font color="Maroon" title="c3">X</font> is <a href="osafree.html#V2" title="OSAFREE:attr.2">osfree</a> &amp;  <a href="osafree.html#K16" title="OSAFREE:func.16">FreeOSA</a> <font color="Maroon" title="c3">X</font> is <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a> )</span><br/>

<b>thus </b><a NAME="E3:84_1_1"/>
(  <a href="osafree.html#K16" title="OSAFREE:func.16">FreeOSA</a> <font color="Maroon" title="c3">X</font> is <a href="osafree.html#V2" title="OSAFREE:attr.2">osfree</a> &amp;  <a href="osafree.html#K16" title="OSAFREE:func.16">FreeOSA</a> <font color="Maroon" title="c3">X</font> is <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a> )
 <b>by </b><i><a class="ref" href="osafree.html#T40" target="_self" title="OSAFREE:th.40">Th40</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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