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<b>consider </b><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/>
<b>consider </b><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/>
<b>take </b>
 <a href="osalg_1.html#K8" title="OSALG_1:func.8">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:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  <a href="osalg_1.html#K8" title="OSALG_1:func.8">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#K8" title="OSALG_1:func.8">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">strict</a> &amp;  <a href="osalg_1.html#K8" title="OSALG_1:func.8">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#V5" title="MSUALG_1:attr.5">non-empty</a> )</span><br/>

<b>thus </b><a NAME="E3:6_1_1"/>
(  <a href="osalg_1.html#K8" title="OSALG_1:func.8">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#K8" title="OSALG_1:func.8">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">strict</a> &amp;  <a href="osalg_1.html#K8" title="OSALG_1:func.8">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#V5" title="MSUALG_1:attr.5">non-empty</a> )
 ; <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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