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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E18">uu0</font></span>: <a NAME="T14"><span class="comment"><font color="firebrick">:: FIELD_8:14</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F1</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">F2</font> being  <font color="Olive">b<sub>1</sub></font> <a href="ring_2.html#V3" title="RING_2:attr.3">-homomorphic</a>  <font color="Olive">b<sub>1</sub></font> <a href="ring_3.html#V2" title="RING_3:attr.2">-isomorphic</a>  <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b3">h</font> being   <a href="ring_3.html#NM2" title="RING_3:NM.2">Isomorphism</a> of <font color="Olive" title="b1">F1</font>,<font color="Olive" title="b2">F2</font><br/>  for <font color="Olive" title="b4">p</font>, <font color="Olive" title="b5">q</font> being    <a href="ring_4.html#M1" title="RING_4:mode.1">Element</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K13" title="POLYNOM3:func.13">Polynom-Ring</a> <font color="Olive" title="b1">F1</font></span>)</span> holds <br/> ( <font color="Olive" title="b4">p</font> <a href="ring_4.html#R1" title="RING_4:pred.1">divides</a> <font color="Olive" title="b5">q</font> iff <span class="p1">(<span class="default"><a href="field_1.html#K3" title="FIELD_1:func.3">PolyHom</a> <font color="Olive" title="b3">h</font></span>)</span> <a href="field_1.html#K2" title="FIELD_1:func.2">.</a> <font color="Olive" title="b4">p</font> <a href="ring_4.html#R1" title="RING_4:pred.1">divides</a> <span class="p1">(<span class="default"><a href="field_1.html#K3" title="FIELD_1:func.3">PolyHom</a> <font color="Olive" title="b3">h</font></span>)</span> <a href="field_1.html#K2" title="FIELD_1:func.2">.</a> <font color="Olive" title="b5">q</font> )</div></div>
