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<div><span class="kw">theorem </span><a NAME="T3"><span class="comment"><font color="firebrick">:: SEQ_1:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="ordinal1.html#V9" title="ORDINAL1:attr.9">non-zero</a>  <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> holds   <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b1">f</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <span class="kw">by</span> <span class="lab"><a class="ref" href="ordinal1.html#D15" onmouseover="rs('ordinal1/D15')" onmouseout="rh()">ORDINAL1:def 15</a>, <a class="ref" href="zfmisc_1.html#T34" onmouseover="rs('zfmisc_1/T34')" onmouseout="rh()">ZFMISC_1:34</a></span>;<br/></div></div>
