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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E28">Def24</font></span>   defines <a href="monoid_0.html#M3" title="MONOID_0:mode.3">MonoidalSubStr</a> <a onclick="hs(this)" href="javascript:()">MONOID_0:def 24 : <br/></a><span> for <font color="Olive" title="b1">G</font> being    <a href="algstr_0.html#L3" title="ALGSTR_0:struct.3">multMagma</a> <br/>  for <font color="Olive">b<sub>2</sub></font> being    <a href="algstr_0.html#L4" title="ALGSTR_0:struct.4">multLoopStr</a>  holds <br/> ( <font color="Olive">b<sub>2</sub></font> is    <a href="monoid_0.html#M3" title="MONOID_0:mode.3">MonoidalSubStr</a> of <font color="Olive" title="b1">G</font> iff (  the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <font color="Olive">b<sub>2</sub></font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <font color="Olive" title="b1">G</font> &amp; (  for <font color="Olive" title="b3">M</font> being    <a href="algstr_0.html#L4" title="ALGSTR_0:struct.4">multLoopStr</a>   st <font color="Olive" title="b1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">M</font> holds <br/> <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <font color="Olive" title="b3">M</font> ) ) );<br/></span></div>
