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<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> ;<br/>
<span class="kw">consider </span><font color="Maroon" title="c3">z1</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c2">z</font>;<br/>
<span class="kw">take </span>
 <a href="osalg_1.html#K7" title="OSALG_1:func.7">TrivialOSA</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c3">z1</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#K7" title="OSALG_1:func.7">TrivialOSA</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c3">z1</font> is  <a href="osalg_1.html#V13" title="OSALG_1:attr.13">monotone</a>  &amp;  <a href="osalg_1.html#K7" title="OSALG_1:func.7">TrivialOSA</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c3">z1</font> is  <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a>  &amp;  <a href="osalg_1.html#K7" title="OSALG_1:func.7">TrivialOSA</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c3">z1</font> is  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E3:80_1_1"/>
(  <a href="osalg_1.html#K7" title="OSALG_1:func.7">TrivialOSA</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c3">z1</font> is  <a href="osalg_1.html#V13" title="OSALG_1:attr.13">monotone</a>  &amp;  <a href="osalg_1.html#K7" title="OSALG_1:func.7">TrivialOSA</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c3">z1</font> is  <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a>  &amp;  <a href="osalg_1.html#K7" title="OSALG_1:func.7">TrivialOSA</a> <font color="Maroon" title="c1">S</font>,<font color="Maroon" title="c2">z</font>,<font color="Maroon" title="c3">z1</font> is  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="osalg_1.html#T29" target="_self" title="OSALG_1:th.29">Th29</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/>


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