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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">R</font> being   <a href="field_4.html#NM1" title="FIELD_4:NM.1">RingExtension</a> of <font color="Maroon" title="c1">F</font><br/>  for <font color="Olive" title="b2">T</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">R</font> holds  <font color="Maroon" title="c1">F</font> is    <a href="field_6.html#M1" title="FIELD_6:mode.1">Subfield</a> of  <a href="field_6.html#K3" title="FIELD_6:func.3">RAdj</a> (<font color="Maroon" title="c1">F</font>,<font color="Olive" title="b2">T</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c2">R</font> be   <a href="field_4.html#NM1" title="FIELD_4:NM.1">RingExtension</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">  for <font color="Olive" title="b1">T</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c2">R</font> holds  <font color="Maroon" title="c1">F</font> is    <a href="field_6.html#M1" title="FIELD_6:mode.1">Subfield</a> of  <a href="field_6.html#K3" title="FIELD_6:func.3">RAdj</a> (<font color="Maroon" title="c1">F</font>,<font color="Olive" title="b1">T</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c3">T</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c2">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"> <font color="Maroon" title="c1">F</font> is    <a href="field_6.html#M1" title="FIELD_6:mode.1">Subfield</a> of  <a href="field_6.html#K3" title="FIELD_6:func.3">RAdj</a> (<font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c3">T</font>)</span><br/>





<a NAME="E1:60"/>
<font color="Maroon" title="c1">F</font> is    <a href="c0sp1.html#M1" title="C0SP1:mode.1">Subring</a> of  <a href="field_6.html#K3" title="FIELD_6:func.3">RAdj</a> (<font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c3">T</font>)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="field_6.html#T31" target="_self" onmouseover="rs('field_6/T31')" onmouseout="rh()">RAsub</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:60"/>
<font color="Maroon" title="c1">F</font> is    <a href="field_6.html#M1" title="FIELD_6:mode.1">Subfield</a> of  <a href="field_6.html#K3" title="FIELD_6:func.3">RAdj</a> (<font color="Maroon" title="c1">F</font>,<font color="Maroon" title="c3">T</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="field_6.html#D2" target="_self" onmouseover="rs('field_6/D2')" onmouseout="rh()">defsubfr</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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