<?xml version="1.0"?>
<div class="add">

<span class="kw">consider </span><font color="Maroon" title="c2">z</font> being  non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> , <font color="Maroon" title="c3">CH</font> being    <a href="pboole.html#M2" title="PBOOLE:mode.2">ManySortedFunction</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="osalg_1.html#K4" title="OSALG_1:func.4">ConstOSSet</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font></span>)</span> <a href="pboole.html#K6" title="PBOOLE:func.6">#</a> </span>)</span> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> the <a href="msualg_1.html#U1" title="MSUALG_1:sel.1">Arity</a> of <font color="Maroon" title="c1">S</font>,<span class="p1">(<span class="default"><a href="osalg_1.html#K4" title="OSALG_1:func.4">ConstOSSet</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font></span>)</span> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> the <a href="msualg_1.html#U2" title="MSUALG_1:sel.2">ResultSort</a> of <font color="Maroon" title="c1">S</font>;<br/>
<span class="kw">take </span>
 <a href="osalg_1.html#K5" title="OSALG_1:func.5">ConstOSA</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c3">CH</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> (  <a href="osalg_1.html#K5" title="OSALG_1:func.5">ConstOSA</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c3">CH</font> is  <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a>  &amp;  <a href="osalg_1.html#K5" title="OSALG_1:func.5">ConstOSA</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c3">CH</font> is  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  &amp;  <a href="osalg_1.html#K5" title="OSALG_1:func.5">ConstOSA</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c3">CH</font> is  <a href="osalg_1.html#V12" title="OSALG_1:attr.12">order-sorted</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E2:61_1_1"/>
(  <a href="osalg_1.html#K5" title="OSALG_1:func.5">ConstOSA</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c3">CH</font> is  <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a>  &amp;  <a href="osalg_1.html#K5" title="OSALG_1:func.5">ConstOSA</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c3">CH</font> is  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  &amp;  <a href="osalg_1.html#K5" title="OSALG_1:func.5">ConstOSA</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c3">CH</font> is  <a href="osalg_1.html#V12" title="OSALG_1:attr.12">order-sorted</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="osalg_1.html#T18" target="_self" title="OSALG_1:th.18">Th18</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
