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<span class="kw">let </span><font color="Maroon" title="c4">S</font> be   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</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"> ( <font color="Maroon" title="c4">S</font> is <font color="Maroon" title="c3">R</font> <a href="ring_3.html#V1" title="RING_3:attr.1">-monomorphic</a>  implies <font color="Maroon" title="c4">S</font> is <font color="Maroon" title="c2">n</font> <a href="ring_3.html#V3" title="RING_3:attr.3">-characteristic</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:148_1_1"/><span class="lab"><font color="Green" title="E74">A1</font></span>: 
<font color="Maroon" title="c4">S</font> is <font color="Maroon" title="c3">R</font> <a href="ring_3.html#V1" title="RING_3:attr.1">-monomorphic</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"> <font color="Maroon" title="c4">S</font> is <font color="Maroon" title="c2">n</font> <a href="ring_3.html#V3" title="RING_3:attr.3">-characteristic</a> </span><br/>

<a NAME="E2:148_1_1"/>
 <a href="ring_3.html#K3" title="RING_3:func.3">Char</a> <font color="Maroon" title="c3">R</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">n</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ring_3.html#D6" target="_self" onmouseover="rs('ring_3/D6')" onmouseout="rh()">Def6</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:148_1_1"/>
<font color="Maroon" title="c4">S</font> is <font color="Maroon" title="c2">n</font> <a href="ring_3.html#V3" title="RING_3:attr.3">-characteristic</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:148_1_1"><span class="lab"><font color="Green" title="E74">A1</font></span></a>, <a class="ref" href="ring_3.html#T88" target="_self" onmouseover="rs('ring_3/T88')" onmouseout="rh()">Th87</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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