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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E37">Th46</font></span>: <a NAME="T46"><span class="comment"><font color="firebrick">:: ORDINAL6:46</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">g</font> being   <a href="ordinal6.html#V3" title="ORDINAL6:attr.3">Ordinal-Sequence-valued</a>  <a href="ordinal1.html#NM4" title="ORDINAL1:NM.4">Sequence</a> holds  <span class="p1"> { <span class="default"> <font color="Olive" title="b2">a</font> where <font color="Olive" title="b2">a</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">g</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span> : ( <font color="Olive" title="b2">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">g</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span> &amp; (  for <font color="Olive" title="b3">f</font> being   <a href="ordinal2.html#NM1" title="ORDINAL2:NM.1">Ordinal-Sequence</a>  st <font color="Olive" title="b3">f</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b1">g</font> holds <br/><font color="Olive" title="b2">a</font> <a href="abian.html#R1" title="ABIAN:pred.1">is_a_fixpoint_of</a> <font color="Olive" title="b3">f</font> ) ) </span> } </span>  is  <a href="ordinal6.html#V1" title="ORDINAL6:attr.1">ordinal-membered</a> </div></div>
