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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E32">Th25</font></span>: <a NAME="T27"><span class="comment"><font color="firebrick">:: MEASURE9:27</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M1</font>, <font color="Olive" title="b2">M2</font> being   <a href="matrix_0.html#NM1" title="MATRIX_0:NM.1">Matrix</a> of <a href="numbers.html#K6" title="NUMBERS:func.6">ExtREAL</a>  st  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b1">M1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b2">M2</font> &amp; (  for <font color="Olive" title="b3">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b3">i</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> <font color="Olive" title="b1">M1</font> holds <br/> not  <a href="supinf_1.html#K2" title="SUPINF_1:func.2">-infty</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">M1</font> <a href="measure9.html#K1" title="MEASURE9:func.1">.</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; (  for <font color="Olive" title="b3">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b3">i</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> <font color="Olive" title="b2">M2</font> holds <br/> not  <a href="supinf_1.html#K2" title="SUPINF_1:func.2">-infty</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">M2</font> <a href="measure9.html#K1" title="MEASURE9:func.1">.</a> <font color="Olive" title="b3">i</font></span>)</span> ) holds <br/><span class="p1">(<span class="default"><a href="measure9.html#K9" title="MEASURE9:func.9">SumAll</a> <font color="Olive" title="b1">M1</font></span>)</span> <a href="supinf_2.html#K3" title="SUPINF_2:func.3">+</a> <span class="p1">(<span class="default"><a href="measure9.html#K9" title="MEASURE9:func.9">SumAll</a> <font color="Olive" title="b2">M2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="measure9.html#K9" title="MEASURE9:func.9">SumAll</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">M1</font> <a href="matrlin.html#K7" title="MATRLIN:func.7">^^</a> <font color="Olive" title="b2">M2</font></span>)</span></div></div>
