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<div><span class="kw">theorem </span><a NAME="T34"><span class="comment"><font color="firebrick">:: RLVECT_3:34</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b2">F</font>, <font color="Olive" title="b3">G</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b4">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">V</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> holds  <font color="Olive" title="b4">f</font> <a href="rlvect_2.html#K5" title="RLVECT_2:func.5">(#)</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">F</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <font color="Olive" title="b3">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">f</font> <a href="rlvect_2.html#K5" title="RLVECT_2:func.5">(#)</a> <font color="Olive" title="b2">F</font></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">f</font> <a href="rlvect_2.html#K5" title="RLVECT_2:func.5">(#)</a> <font color="Olive" title="b3">G</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="txt" href="rlvect_3.html#E1"><span class="lab"><font color="Green" title="E1">Lm1</font></span></a></span>;<br/></div></div>
