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

<span class="kw">let </span><font color="Maroon" title="c2">f</font> be   <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of <font color="Maroon" title="c1">X</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">f</font> is  <a href="cohsp_1.html#V5" title="COHSP_1:attr.5">d.union-distributive</a>  implies <font color="Maroon" title="c2">f</font> is  <a href="cohsp_1.html#V8" title="COHSP_1:attr.8">U-continuous</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>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="partfun1.html#D4" title="PARTFUN1:def.4">PARTFUN1:def 4</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:53_1_1"/>
( <font color="Maroon" title="c2">f</font> is  <a href="cohsp_1.html#V5" title="COHSP_1:attr.5">d.union-distributive</a>  implies <font color="Maroon" title="c2">f</font> is  <a href="cohsp_1.html#V8" title="COHSP_1:attr.8">U-continuous</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="cohsp_1.html#D14" target="_self" title="COHSP_1:def.14">Def14</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>
