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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E32">Th38</font></span>: <a NAME="T39"><span class="comment"><font color="firebrick">:: COH_SP:39</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b1">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="coh_sp.html#K19" title="COH_SP:func.19">FuncsT</a> <font color="Olive" title="b2">X</font> iff  ex <font color="Olive" title="b3">T1</font>, <font color="Olive" title="b4">T2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="coh_sp.html#K16" title="COH_SP:func.16">TOL</a> <font color="Olive" title="b2">X</font> st <br/>( ( <font color="Olive" title="b4">T2</font> <a href="coh_sp.html#K17" title="COH_SP:func.17">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  implies <font color="Olive" title="b3">T1</font> <a href="coh_sp.html#K17" title="COH_SP:func.17">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  ) &amp; <font color="Olive" title="b1">x</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><font color="Olive" title="b3">T1</font> <a href="coh_sp.html#K17" title="COH_SP:func.17">`2</a></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b4">T2</font> <a href="coh_sp.html#K17" title="COH_SP:func.17">`2</a></span>)</span> ) )</div></div>
