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<span class="kw">let </span><font color="Maroon" title="c1">F</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">p</font> being    <a href="ring_4.html#M1" title="RING_4:mode.1">Element</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K13" title="POLYNOM3:func.13">Polynom-Ring</a> <font color="Maroon" title="c1">F</font></span>)</span>  st <font color="Olive" title="b1">p</font> is   <a href="ring_2.html#NM3" title="RING_2:NM.3">Unit</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K13" title="POLYNOM3:func.13">Polynom-Ring</a> <font color="Maroon" title="c1">F</font></span>)</span> holds <br/>(  not <font color="Olive" title="b1">p</font> is  <a href="ratfunc1.html#NV1" title="RATFUNC1:NV.1">zero</a>  &amp; <font color="Olive" title="b1">p</font> is  <a href="ring_4.html#V3" title="RING_4:attr.3">constant</a>  )</span><br/><span class="kw">let </span><font color="Maroon" title="c2">p</font> be    <a href="ring_4.html#M1" title="RING_4:mode.1">Element</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K13" title="POLYNOM3:func.13">Polynom-Ring</a> <font color="Maroon" title="c1">F</font></span>)</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"> ( <font color="Maroon" title="c2">p</font> is   <a href="ring_2.html#NM3" title="RING_2:NM.3">Unit</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K13" title="POLYNOM3:func.13">Polynom-Ring</a> <font color="Maroon" title="c1">F</font></span>)</span> implies (  not <font color="Maroon" title="c2">p</font> is  <a href="ratfunc1.html#NV1" title="RATFUNC1:NV.1">zero</a>  &amp; <font color="Maroon" title="c2">p</font> is  <a href="ring_4.html#V3" title="RING_4:attr.3">constant</a>  ) )</span><br/>



<a NAME="E1:84"/>
( <font color="Maroon" title="c2">p</font> is   <a href="ring_2.html#NM3" title="RING_2:NM.3">Unit</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K13" title="POLYNOM3:func.13">Polynom-Ring</a> <font color="Maroon" title="c1">F</font></span>)</span> implies  <a href="hurwitz.html#NK3" title="HURWITZ:NK.3">deg</a> <font color="Maroon" title="c2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ring_4.html#T36" target="_self" onmouseover="rs('ring_4/T36')" onmouseout="rh()">T88</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:84"/>
( <font color="Maroon" title="c2">p</font> is   <a href="ring_2.html#NM3" title="RING_2:NM.3">Unit</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K13" title="POLYNOM3:func.13">Polynom-Ring</a> <font color="Maroon" title="c1">F</font></span>)</span> implies (  not <font color="Maroon" title="c2">p</font> is  <a href="ratfunc1.html#NV1" title="RATFUNC1:NV.1">zero</a>  &amp; <font color="Maroon" title="c2">p</font> is  <a href="ring_4.html#V3" title="RING_4:attr.3">constant</a>  ) )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ring_4.html#T15" target="_self" onmouseover="rs('ring_4/T15')" onmouseout="rh()">LX</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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