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<div><span class="kw">theorem </span><a NAME="T37"><span class="comment"><font color="firebrick">:: FIELD_1:37</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">S</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#V1" title="RING_3:attr.1">-monomorphic</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b3">h</font> being   <a href="ring_3.html#NM1" title="RING_3:NM.1">Monomorphism</a> of <font color="Olive" title="b1">R</font>,<font color="Olive" title="b2">S</font><br/>  for <font color="Olive" title="b4">p</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">R</font></span>)</span> holds   <a href="polynom5.html#K7" title="POLYNOM5:func.7">Roots</a> <font color="Olive" title="b4">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b5">a</font> where <font color="Olive" title="b5">a</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font> : <font color="Olive" title="b3">h</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b5">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="polynom5.html#K7" title="POLYNOM5:func.7">Roots</a> <span class="p1">(<span class="default"><span class="p2">(<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></span>)</span> </span> } </span> </div></div>
