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<span class="kw">let </span><font color="Maroon" title="c3">T</font> be   <a href="field_4.html#NM1" title="FIELD_4:NM.1">RingExtension</a> of <font color="Maroon" title="c2">S</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"> <font color="Maroon" title="c3">T</font> is <font color="Maroon" title="c1">R</font> <a href="field_4.html#V1" title="FIELD_4:attr.1">-extending</a> </span><br/>

<a NAME="E1:23_1_1"/>
( <font color="Maroon" title="c2">S</font> is    <a href="c0sp1.html#M1" title="C0SP1:mode.1">Subring</a> of <font color="Maroon" title="c3">T</font> &amp; <font color="Maroon" title="c1">R</font> is    <a href="c0sp1.html#M1" title="C0SP1:mode.1">Subring</a> of <font color="Maroon" title="c2">S</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="field_4.html#D1" target="_self" onmouseover="rs('field_4/D1')" onmouseout="rh()">Def1</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:23_1_1"/>
<font color="Maroon" title="c3">T</font> is <font color="Maroon" title="c1">R</font> <a href="field_4.html#V1" title="FIELD_4:attr.1">-extending</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="algnum_1.html#T1" onmouseover="rs('algnum_1/T1')" onmouseout="rh()">ALGNUM_1:1</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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