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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E37">Th45</font></span>: <a NAME="T45"><span class="comment"><font color="firebrick">:: POLYDIFF:45</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font> being   <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  st <font color="Olive" title="b1">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="polynom3.html#K9" title="POLYNOM3:func.9">0_.</a> <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a> holds <br/> <a href="algseq_1.html#K1" title="ALGSEQ_1:func.1">len</a> <font color="Olive" title="b1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="algseq_1.html#K1" title="ALGSEQ_1:func.1">len</a> <span class="p2">(<span class="default"><a href="polydiff.html#K4" title="POLYDIFF:func.4">poly_diff</a> <font color="Olive" title="b1">p</font></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</div></div>
