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<div><span class="kw">theorem </span><a NAME="T4"><span class="comment"><font color="firebrick">:: FIELD_2:4</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_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">f</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> holds <br/> ( <font color="Olive" title="b3">f</font> <a href="field_2.html#K1" title="FIELD_2:func.1">"</a>  is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  &amp; <font color="Olive" title="b3">f</font> <a href="field_2.html#K1" title="FIELD_2:func.1">"</a>  is  <a href="funct_2.html#V2" title="FUNCT_2:attr.2">onto</a>  )</div></div>
