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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E32">Th36</font></span>: <a NAME="T37"><span class="comment"><font color="firebrick">:: ENS_1:37</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</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">a</font>, <font color="Olive" title="b3">b</font> being   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <span class="p1">(<span class="default"><a href="ens_1.html#K11" title="ENS_1:func.11">Ens</a> <font color="Olive" title="b1">V</font></span>)</span><br/>  for <font color="Olive" title="b4">f</font> being    <a href="cat_1.html#M1" title="CAT_1:mode.1">Morphism</a> of <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>  st  <a href="cat_1.html#K2" title="CAT_1:func.2">Hom</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Olive" title="b4">f</font> is  <a href="cat_1.html#V8" title="CAT_1:attr.8">epi</a>  &amp;  ex <font color="Olive" title="b5">A</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">V</font> ex <font color="Olive" title="b6">x1</font>, <font color="Olive" title="b7">x2</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  st <br/>( <font color="Olive" title="b6">x1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b5">A</font> &amp; <font color="Olive" title="b7">x2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b5">A</font> &amp; <font color="Olive" title="b6">x1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b7">x2</font> ) holds <br/> <a href="ens_1.html#K15" title="ENS_1:func.15">@</a> <font color="Olive" title="b4">f</font> is  <a href="ens_1.html#V1" title="ENS_1:attr.1">surjective</a> </div></div>
