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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E6">respmult</font></span>   defines <a href="realalg1.html#V4" title="REALALG1:attr.4">respecting_multiplication</a> <a onclick="hs(this)" href="javascript:()">REALALG1:def 4 : <br/></a><span> for <font color="Olive" title="b1">L</font> being    <a href="algstr_0.html#L5" title="ALGSTR_0:struct.5">multLoopStr_0</a> <br/>  for <font color="Olive" title="b2">R</font> being   <a href="alg_1.html#NM1" title="ALG_1:NM.1">Relation</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive" title="b2">R</font> is  <a href="realalg1.html#V4" title="REALALG1:attr.4">respecting_multiplication</a>  iff  for <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font>, <font color="Olive" title="b5">c</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font>  st <font color="Olive" title="b3">a</font> <a href="arrow.html#R1" title="ARROW:pred.1">&lt;=_</a> <font color="Olive" title="b2">R</font>,<font color="Olive" title="b4">b</font> &amp;  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">L</font> <a href="arrow.html#R1" title="ARROW:pred.1">&lt;=_</a> <font color="Olive" title="b2">R</font>,<font color="Olive" title="b5">c</font> holds <br/><font color="Olive" title="b3">a</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Olive" title="b5">c</font> <a href="arrow.html#R1" title="ARROW:pred.1">&lt;=_</a> <font color="Olive" title="b2">R</font>,<font color="Olive" title="b4">b</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Olive" title="b5">c</font> );<br/></span></div>
