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<span class="kw">let </span><font color="Maroon" title="c1">F</font> be   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</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">E</font> being  <font color="Maroon" title="c1">F</font> <a href="field_7.html#V2" title="FIELD_7:attr.2">-algebraic</a>  <a href="field_4.html#NM4" title="FIELD_4:NM.4">FieldExtension</a> of <font color="Maroon" title="c1">F</font> holds   <a href="field_7.html#NK13" title="FIELD_7:NK.13">F_Alg</a> <font color="Olive" title="b1">E</font> <a href="field_7.html#R1" title="FIELD_7:pred.1">==</a> <font color="Olive" title="b1">E</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">E</font> be  <font color="Maroon" title="c1">F</font> <a href="field_7.html#V2" title="FIELD_7:attr.2">-algebraic</a>  <a href="field_4.html#NM4" title="FIELD_4:NM.4">FieldExtension</a> of <font color="Maroon" title="c1">F</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="field_7.html#NK13" title="FIELD_7:NK.13">F_Alg</a> <font color="Maroon" title="c2">E</font> <a href="field_7.html#R1" title="FIELD_7:pred.1">==</a> <font color="Maroon" title="c2">E</font></span><br/>



<a NAME="E1:106"/><span class="lab"><font color="Green" title="E53">A</font></span>: 
<font color="Maroon" title="c2">E</font> is   <a href="field_4.html#NM4" title="FIELD_4:NM.4">FieldExtension</a> of  <a href="field_7.html#NK13" title="FIELD_7:NK.13">F_Alg</a> <font color="Maroon" title="c2">E</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="field_7.html#E66"><span class="lab"><font color="Green" title="E51">ee</font></span></a></span>;<br/>
<a NAME="E2:106"/>
 <a href="field_7.html#NK13" title="FIELD_7:NK.13">F_Alg</a> <font color="Maroon" title="c2">E</font> is   <a href="field_4.html#NM4" title="FIELD_4:NM.4">FieldExtension</a> of <font color="Maroon" title="c2">E</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="field_7.html#E69"><span class="lab"><font color="Green" title="E52">t2</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:106"/>
 <a href="field_7.html#NK13" title="FIELD_7:NK.13">F_Alg</a> <font color="Maroon" title="c2">E</font> <a href="field_7.html#R1" title="FIELD_7:pred.1">==</a> <font color="Maroon" title="c2">E</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:106"><span class="lab"><font color="Green" title="E53">A</font></span></a>, <a class="ref" href="field_4.html#T7" onmouseover="rs('field_4/T7')" onmouseout="rh()">FIELD_4:7</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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