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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E9">Def8</font></span>   defines <a href="sin_cos.html#K7" title="SIN_COS:func.7">Shift</a> <a onclick="hs(this)" href="javascript:()">SIN_COS:def 8 : <br/></a><span> for <font color="Olive" title="b1">seq</font>, <font color="Olive">b<sub>2</sub></font> being   <a href="comseq_1.html#NM1" title="COMSEQ_1:NM.1">Complex_Sequence</a> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="sin_cos.html#K7" title="SIN_COS:func.7">Shift</a> <font color="Olive" title="b1">seq</font> iff ( <font color="Olive">b<sub>2</sub></font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp; (  for <font color="Olive" title="b3">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <font color="Olive">b<sub>2</sub></font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">k</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">seq</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b3">k</font> ) ) );<br/></span></div>
