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<span class="kw">let </span><font color="Maroon" title="c1">R</font> be   <a href="vectsp_2.html#NM2" title="VECTSP_2:NM.2">domRing</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">  for <font color="Olive" title="b1">B</font> being   non  <a href="termord.html#V1" title="TERMORD:attr.1">zero</a>  <a href="pre_poly.html#NM2" title="PRE_POLY:NM.2">bag</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">R</font><br/>  for <font color="Olive" title="b2">p</font> being    <a href="ring_5.html#M2" title="RING_5:mode.2">Ppoly</a> of <font color="Maroon" title="c1">R</font>,<font color="Olive" title="b1">B</font> holds   <a href="hurwitz.html#NK3" title="HURWITZ:NK.3">deg</a> <font color="Olive" title="b2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ring_5.html#NK1" title="RING_5:NK.1">card</a> <span class="p1">(<span class="default"><a href="uproots.html#K7" title="UPROOTS:func.7">BRoots</a> <font color="Olive" title="b2">p</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c2">B</font> be   non  <a href="termord.html#V1" title="TERMORD:attr.1">zero</a>  <a href="pre_poly.html#NM2" title="PRE_POLY:NM.2">bag</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">R</font>; <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">  for <font color="Olive" title="b1">p</font> being    <a href="ring_5.html#M2" title="RING_5:mode.2">Ppoly</a> of <font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c2">B</font> holds   <a href="hurwitz.html#NK3" title="HURWITZ:NK.3">deg</a> <font color="Olive" title="b1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ring_5.html#NK1" title="RING_5:NK.1">card</a> <span class="p1">(<span class="default"><a href="uproots.html#K7" title="UPROOTS:func.7">BRoots</a> <font color="Olive" title="b1">p</font></span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c3">p</font> be    <a href="ring_5.html#M2" title="RING_5:mode.2">Ppoly</a> of <font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c2">B</font>; <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="hurwitz.html#NK3" title="HURWITZ:NK.3">deg</a> <font color="Maroon" title="c3">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ring_5.html#NK1" title="RING_5:NK.1">card</a> <span class="p1">(<span class="default"><a href="uproots.html#K7" title="UPROOTS:func.7">BRoots</a> <font color="Maroon" title="c3">p</font></span>)</span></span><br/>





<span class="kw">thus </span> <a href="ring_5.html#NK1" title="RING_5:NK.1">card</a> <span class="p1">(<span class="default"><a href="uproots.html#K7" title="UPROOTS:func.7">BRoots</a> <font color="Maroon" title="c3">p</font></span>)</span> = 
 <a href="ring_5.html#NK1" title="RING_5:NK.1">card</a> <font color="Maroon" title="c2">B</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ring_5.html#T55" target="_self" onmouseover="rs('ring_5/T55')" onmouseout="rh()">pf2</a></span>
<br/>.= 
 <a href="hurwitz.html#NK3" title="HURWITZ:NK.3">deg</a> <font color="Maroon" title="c3">p</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="ring_5.html#D5" target="_self" onmouseover="rs('ring_5/D5')" onmouseout="rh()">dpp</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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