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<div><span class="kw">theorem </span><a NAME="T7"><span class="comment"><font color="firebrick">:: RING_EMB:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a><br/>  for <font color="Olive" title="b2">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">f</font> being   <a href="struct_0.html#NM4" title="STRUCT_0:NM.4">Function</a> of <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">X</font>  st <font color="Olive" title="b3">f</font> is  <a href="funct_2.html#V3" title="FUNCT_2:attr.3">bijective</a>  holds <br/> <a href="ring_emb.html#K5" title="RING_EMB:func.5">emb_Ring</a> <font color="Olive" title="b3">f</font> is   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a></div></div>
