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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E55">Th39</font></span>: <a NAME="T40"><span class="comment"><font color="firebrick">:: SIN_COS:40</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">k</font>, <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b3">th</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">th</font> &amp; <font color="Olive" title="b3">th</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 &amp; <font color="Olive" title="b2">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">k</font> holds <br/><font color="Olive" title="b3">th</font> <a href="comseq_3.html#K2" title="COMSEQ_3:func.2">|^</a> <font color="Olive" title="b1">k</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">th</font> <a href="comseq_3.html#K2" title="COMSEQ_3:func.2">|^</a> <font color="Olive" title="b2">n</font></div></div>
