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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E1">Def1</font></span>   defines <a href="sin_cos.html#K1" title="SIN_COS:func.1">CHK</a> <a onclick="hs(this)" href="javascript:()">SIN_COS:def 1 : <br/></a><span> for <font color="Olive" title="b1">m</font>, <font color="Olive" title="b2">k</font> being   <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>   <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">Number</a>  holds <br/> ( ( <font color="Olive" title="b1">m</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">k</font> implies  <a href="sin_cos.html#K1" title="SIN_COS:func.1">CHK</a> (<font color="Olive" title="b1">m</font>,<font color="Olive" title="b2">k</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 ) &amp; (  not <font color="Olive" title="b1">m</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">k</font> implies  <a href="sin_cos.html#K1" title="SIN_COS:func.1">CHK</a> (<font color="Olive" title="b1">m</font>,<font color="Olive" title="b2">k</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  ) );<br/></span></div>
