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<div><span class="kw">theorem </span><a NAME="T43"><span class="comment"><font color="firebrick">:: ALGSTR_4:43</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#L3" title="ALGSTR_0:struct.3">multMagma</a>   ex <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>  ex <font color="Olive" title="b3">r</font> being   <a href="algstr_4.html#NM1" title="ALGSTR_4:NM.1">Relators</a> of <span class="p1">(<span class="default"><a href="algstr_4.html#K14" title="ALGSTR_4:func.14">free_magma</a> <font color="Olive" title="b2">X</font></span>)</span> ex <font color="Olive" title="b4">g</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="algstr_4.html#K14" title="ALGSTR_4:func.14">free_magma</a> <font color="Olive" title="b2">X</font></span>)</span> <a href="algstr_4.html#K4" title="ALGSTR_4:func.4">./.</a> <span class="p2">(<span class="default"><a href="algstr_4.html#K6" title="ALGSTR_4:func.6">equ_rel</a> <font color="Olive" title="b3">r</font></span>)</span></span>)</span>,<font color="Olive" title="b1">M</font> st <br/>( <font color="Olive" title="b4">g</font> is  <a href="funct_2.html#V3" title="FUNCT_2:attr.3">bijective</a>  &amp; <font color="Olive" title="b4">g</font> is  <a href="group_6.html#V1" title="GROUP_6:attr.1">multiplicative</a>  )</div></div>
