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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th8</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: MEASURE9:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">D</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">Y</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="setfam_1.html#NV3" title="SETFAM_1:NV.3">with_non-empty_element</a>   <a href="finseq_2.html#M1" title="FINSEQ_2:mode.1">FinSequenceSet</a> of <font color="Olive" title="b1">D</font><br/>  for <font color="Olive" title="b3">s</font> being   <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a>  <a href="nat_1.html#NM1" title="NAT_1:NM.1">sequence</a> of <font color="Olive" title="b2">Y</font><br/>  for <font color="Olive" title="b4">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  ex <font color="Olive" title="b5">k</font>, <font color="Olive" title="b6">m</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <br/>( <font color="Olive" title="b6">m</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">s</font> <a href="finseq_2.html#K8" title="FINSEQ_2:func.8">.</a> <font color="Olive" title="b5">k</font></span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="measure9.html#K5" title="MEASURE9:func.5">Partial_Sums</a> <span class="p5">(<span class="default"><a href="measure9.html#K4" title="MEASURE9:func.4">Length</a> <font color="Olive" title="b3">s</font></span>)</span></span>)</span> <a href="supinf_2.html#K12" title="SUPINF_2:func.12">.</a> <font color="Olive" title="b5">k</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p3">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p4">(<span class="default"><font color="Olive" title="b3">s</font> <a href="finseq_2.html#K8" title="FINSEQ_2:func.8">.</a> <font color="Olive" title="b5">k</font></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b6">m</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">n</font> )</div></div>
