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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E40">lintrans</font></span>: <a NAME="T36"><span class="comment"><font color="firebrick">:: FIELD_8:36</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">E1</font> being   <a href="field_4.html#NM4" title="FIELD_4:NM.4">FieldExtension</a> of <font color="Olive" title="b1">F</font><br/>  for <font color="Olive" title="b3">E2</font> being  <font color="Olive">b<sub>2</sub></font> <a href="ring_2.html#V3" title="RING_2:attr.3">-homomorphic</a>  <a href="field_4.html#NM4" title="FIELD_4:NM.4">FieldExtension</a> of <font color="Olive" title="b1">F</font><br/>  for <font color="Olive" title="b4">h</font> being   <a href="ring_2.html#NM2" title="RING_2:NM.2">Homomorphism</a> of <font color="Olive" title="b2">E1</font>,<font color="Olive" title="b3">E2</font> holds <br/> ( <font color="Olive" title="b4">h</font> is <font color="Olive" title="b1">F</font> <a href="field_8.html#V1" title="FIELD_8:attr.1">-fixing</a>  iff <font color="Olive" title="b4">h</font> is   <a href="ranknull.html#NM1" title="RANKNULL:NM.1">linear-transformation</a> of <span class="p1">(<span class="default"><a href="field_4.html#K2" title="FIELD_4:func.2">VecSp</a> (<font color="Olive" title="b2">E1</font>,<font color="Olive" title="b1">F</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="field_4.html#K2" title="FIELD_4:func.2">VecSp</a> (<font color="Olive" title="b3">E2</font>,<font color="Olive" title="b1">F</font>)</span>)</span> )</div></div>
