<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E76">Def19</font></span>   defines <a href="msafree4.html#K9" title="MSAFREE4:func.9">NForms</a> <a onclick="hs(this)" href="javascript:()">MSAFREE4:def 19 : <br/></a><span> for <font color="Olive" title="b1">I</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">X</font> being  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V5</a>() <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive" title="b3">R</font> being   <a href="msafree4.html#V12" title="MSAFREE4:attr.12">terminating</a>   <a href="msafree4.html#V13" title="MSAFREE4:attr.13">with_UN_property</a>  <a href="msualg_4.html#NM2" title="MSUALG_4:NM.2">ManySortedRelation</a> of <font color="Olive" title="b2">X</font><br/>  for <font color="Olive">b<sub>4</sub></font> being  <a href="relat_1.html#V2" title="RELAT_1:attr.2">V5</a>()  <a href="pboole.html#M3" title="PBOOLE:mode.3">ManySortedSubset</a> of <font color="Olive" title="b2">X</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="msafree4.html#K9" title="MSAFREE4:func.9">NForms</a> <font color="Olive" title="b3">R</font> iff  for <font color="Olive" title="b5">i</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">I</font> holds  <font color="Olive">b<sub>4</sub></font> <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b5">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><a href="msafree4.html#K8" title="MSAFREE4:func.8">nf</a> (<font color="Olive" title="b6">x</font>,<span class="p3">(<span class="default"><font color="Olive" title="b3">R</font> <a href="msafree4.html#K7" title="MSAFREE4:func.7">.</a> <font color="Olive" title="b5">i</font></span>)</span>)</span>)</span> where <font color="Olive" title="b6">x</font> is    <a href="msafree4.html#M1" title="MSAFREE4:mode.1">Element</a> of <font color="Olive" title="b2">X</font> <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b5">i</font> : verum </span> } </span>  );<br/></span></div>
