<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th4</font></span>: <a NAME="T4"><span class="comment"><font color="firebrick">:: ALTCAT_5:4</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">A</font> being   <a href="altcat_5.html#NM1" title="ALTCAT_5:NM.1">ObjectsFamily</a> of <font color="Olive" title="b1">I</font>,<span class="p1">(<span class="default"><a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></span>)</span><br/>  for <font color="Olive" title="b3">o</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">Object</a> of <span class="p1">(<span class="default"><a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></span>)</span><br/>  for <font color="Olive" title="b4">P</font> being    <a href="altcat_5.html#M1" title="ALTCAT_5:mode.1">MorphismsFamily</a> of <font color="Olive" title="b3">o</font>,<font color="Olive" title="b2">A</font>  st <font color="Olive" title="b4">P</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Olive" title="b1">I</font> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> holds <br/>( <font color="Olive" title="b4">P</font> is  <a href="altcat_5.html#V2" title="ALTCAT_5:attr.2">feasible</a>  &amp; <font color="Olive" title="b4">P</font> is  <a href="altcat_5.html#V3" title="ALTCAT_5:attr.3">projection-morphisms</a>  )</div></div>
