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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E18">Th40</font></span>: <a NAME="T40"><span class="comment"><font color="firebrick">:: CLVECT_3:40</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="csspace.html#NM1" title="CSSPACE:NM.1">ComplexUnitarySpace</a><br/>  for <font color="Olive" title="b2">seq</font> being   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">n</font>, <font color="Olive" title="b4">m</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1"><a href="csspace.html#K11" title="CSSPACE:func.11">||.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="clvect_3.html#K2" title="CLVECT_3:func.2">Sum</a> (<font color="Olive" title="b2">seq</font>,<font color="Olive" title="b4">m</font>)</span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p3">(<span class="default"><a href="clvect_3.html#K2" title="CLVECT_3:func.2">Sum</a> (<font color="Olive" title="b2">seq</font>,<font color="Olive" title="b3">n</font>)</span>)</span></span>)</span></span><a href="csspace.html#K11" title="CSSPACE:func.11">.||</a></span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1"><a href="complex1.html#K9" title="COMPLEX1:func.9">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="series_1.html#K6" title="SERIES_1:func.6">Sum</a> (<span class="p4"><a href="clvect_2.html#K2" title="CLVECT_2:func.2">||.</a><span class="default"><font color="Olive" title="b2">seq</font></span><a href="clvect_2.html#K2" title="CLVECT_2:func.2">.||</a></span>,<font color="Olive" title="b4">m</font>)</span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p3">(<span class="default"><a href="series_1.html#K6" title="SERIES_1:func.6">Sum</a> (<span class="p4"><a href="clvect_2.html#K2" title="CLVECT_2:func.2">||.</a><span class="default"><font color="Olive" title="b2">seq</font></span><a href="clvect_2.html#K2" title="CLVECT_2:func.2">.||</a></span>,<font color="Olive" title="b3">n</font>)</span>)</span></span>)</span></span><a href="complex1.html#K9" title="COMPLEX1:func.9">.|</a></span></div></div>
