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<span class="kw">let </span><font color="Maroon" title="c5">p</font>, <font color="Maroon" title="c6">q</font> be   <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>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="polydiff.html#K5" title="POLYDIFF:func.5">Eval</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">p</font> <a href="normsp_1.html#K2" title="NORMSP_1:func.2">-</a> <font color="Maroon" title="c6">q</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><a href="polydiff.html#K5" title="POLYDIFF:func.5">Eval</a> <font color="Maroon" title="c5">p</font></span>)</span> <a href="valued_1.html#K47" title="VALUED_1:func.47">-</a> <span class="p1">(<span class="default"><a href="polydiff.html#K5" title="POLYDIFF:func.5">Eval</a> <font color="Maroon" title="c6">q</font></span>)</span></span><br/>



<span class="kw">thus </span> <a href="polydiff.html#K5" title="POLYDIFF:func.5">Eval</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">p</font> <a href="normsp_1.html#K2" title="NORMSP_1:func.2">-</a> <font color="Maroon" title="c6">q</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="polydiff.html#K5" title="POLYDIFF:func.5">Eval</a> <font color="Maroon" title="c5">p</font></span>)</span> <a href="valued_1.html#K3" title="VALUED_1:func.3">+</a> <span class="p1">(<span class="default"><a href="polydiff.html#K5" title="POLYDIFF:func.5">Eval</a> <span class="p2">(<span class="default"><a href="vfunct_1.html#K5" title="VFUNCT_1:func.5">-</a> <font color="Maroon" title="c6">q</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="polydiff.html#T55" target="_self" onmouseover="rs('polydiff/T55')" onmouseout="rh()">Th55</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="polydiff.html#K5" title="POLYDIFF:func.5">Eval</a> <font color="Maroon" title="c5">p</font></span>)</span> <a href="valued_1.html#K47" title="VALUED_1:func.47">-</a> <span class="p1">(<span class="default"><a href="polydiff.html#K5" title="POLYDIFF:func.5">Eval</a> <font color="Maroon" title="c6">q</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="polydiff.html#T56" target="_self" onmouseover="rs('polydiff/T56')" onmouseout="rh()">Th56</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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