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<b>let </b><font color="Maroon" title="c2">f</font> be    <a href="pboole.html#M1" title="PBOOLE:mode.1">ManySortedSet</a> of <font color="Maroon" title="c1">X</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">f</font> is <a href="cohsp_1.html#V8" title="COHSP_1:attr.8">U-continuous</a> &amp; <font color="Maroon" title="c2">f</font> is <a href="cohsp_1.html#V7" title="COHSP_1:attr.7">cap-distributive</a> implies <font color="Maroon" title="c2">f</font> is <a href="cohsp_1.html#V9" title="COHSP_1:attr.9">U-stable</a> )</span><br/>

<a NAME="E1:53_1_1"/>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">X</font>
 
<b>by </b><i><a class="ref" href="pboole.html#D3" title="PBOOLE:def.3">PBOOLE:def 3</a></i>;<br/>
<b>hence </b><a NAME="E2:53_1_1"/>
( <font color="Maroon" title="c2">f</font> is <a href="cohsp_1.html#V8" title="COHSP_1:attr.8">U-continuous</a> &amp; <font color="Maroon" title="c2">f</font> is <a href="cohsp_1.html#V7" title="COHSP_1:attr.7">cap-distributive</a> implies <font color="Maroon" title="c2">f</font> is <a href="cohsp_1.html#V9" title="COHSP_1:attr.9">U-stable</a> )
 <b>by </b><i><a class="ref" href="cohsp_1.html#D15" target="_self" title="COHSP_1:def.15">Def15</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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