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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E4">Th2</font></span>: <a NAME="T2"><span class="comment"><font color="firebrick">:: ALGSTR_4:2</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font> being    <a href="algstr_0.html#L3" title="ALGSTR_0:struct.3">multMagma</a> <br/>  for <font color="Olive" title="b2">R</font> being   <a href="alg_1.html#NM2" title="ALG_1:NM.2">Equivalence_Relation</a> of <font color="Olive" title="b1">M</font> holds <br/> ( <font color="Olive" title="b2">R</font> is  <a href="algstr_4.html#V1" title="ALGSTR_4:attr.1">compatible</a>  iff  for <font color="Olive" title="b3">v</font>, <font color="Olive" title="b4">v9</font>, <font color="Olive" title="b5">w</font>, <font color="Olive" title="b6">w9</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">M</font>  st  <a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b2">R</font>,<font color="Olive" title="b3">v</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b2">R</font>,<font color="Olive" title="b4">v9</font>) &amp;  <a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b2">R</font>,<font color="Olive" title="b5">w</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b2">R</font>,<font color="Olive" title="b6">w9</font>) holds <br/> <a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b2">R</font>,<span class="p1">(<span class="default"><font color="Olive" title="b3">v</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Olive" title="b5">w</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b2">R</font>,<span class="p1">(<span class="default"><font color="Olive" title="b4">v9</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Olive" title="b6">w9</font></span>)</span>) )</div></div>
