<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E18">Th11</font></span>: <a NAME="T11"><span class="comment"><font color="firebrick">:: RING_EMB:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="vectsp_1.html#NM2" title="VECTSP_1:NM.2">AbGroup</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><br/>  for <font color="Olive" title="b4">a</font>, <font color="Olive" title="b5">b</font>, <font color="Olive" title="b6">c</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <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#K7" title="RING_EMB:func.7">addemb</a> (<font color="Olive" title="b3">f</font>,<font color="Olive" title="b4">a</font>,<span class="p1">(<span class="default"><a href="ring_emb.html#K7" title="RING_EMB:func.7">addemb</a> (<font color="Olive" title="b3">f</font>,<font color="Olive" title="b5">b</font>,<font color="Olive" title="b6">c</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ring_emb.html#K7" title="RING_EMB:func.7">addemb</a> (<font color="Olive" title="b3">f</font>,<span class="p1">(<span class="default"><a href="ring_emb.html#K7" title="RING_EMB:func.7">addemb</a> (<font color="Olive" title="b3">f</font>,<font color="Olive" title="b4">a</font>,<font color="Olive" title="b5">b</font>)</span>)</span>,<font color="Olive" title="b6">c</font>)</div></div>
