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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E7">Th3</font></span>: <a NAME="T3"><span class="comment"><font color="firebrick">:: ALGSTR_4:3</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="algstr_4.html#NM1" title="ALGSTR_4:NM.1">Relators</a> of <font color="Olive" title="b1">M</font><br/>  for <font color="Olive" title="b3">R</font> being   <a href="algstr_4.html#V1" title="ALGSTR_4:attr.1">compatible</a>  <a href="alg_1.html#NM2" title="ALG_1:NM.2">Equivalence_Relation</a> of <font color="Olive" title="b1">M</font>  st (  for <font color="Olive" title="b4">i</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b5">v</font>, <font color="Olive" title="b6">w</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">M</font>  st <font color="Olive" title="b4">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b2">r</font> &amp; <font color="Olive" title="b2">r</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b5">v</font>,<font color="Olive" title="b6">w</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> holds <br/><font color="Olive" title="b5">v</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b3">R</font>,<font color="Olive" title="b6">w</font>) ) holds <br/> <a href="algstr_4.html#K6" title="ALGSTR_4:func.6">equ_rel</a> <font color="Olive" title="b2">r</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a> <font color="Olive" title="b3">R</font></div></div>
