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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E4">Def7</font></span>   defines <a href="unialg_2.html#M1" title="UNIALG_2:mode.1">SubAlgebra</a> <a onclick="hs(this)" href="javascript:()">UNIALG_2:def 7 : <br/></a><span> for <font color="Olive" title="b1">U0</font>, <font color="Olive">b<sub>2</sub></font> being   <a href="unialg_1.html#NM1" title="UNIALG_1:NM.1">Universal_Algebra</a> holds <br/> ( <font color="Olive">b<sub>2</sub></font> is    <a href="unialg_2.html#M1" title="UNIALG_2:mode.1">SubAlgebra</a> of <font color="Olive" title="b1">U0</font> iff (  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>2</sub></font> is   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">U0</font> &amp; (  for <font color="Olive" title="b3">B</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">U0</font>  st <font color="Olive" title="b3">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>2</sub></font> holds <br/>(  the <a href="unialg_1.html#U1" title="UNIALG_1:sel.1">charact</a> of <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="unialg_2.html#K3" title="UNIALG_2:func.3">Opers</a> (<font color="Olive" title="b1">U0</font>,<font color="Olive" title="b3">B</font>) &amp; <font color="Olive" title="b3">B</font> is  <a href="unialg_2.html#V1" title="UNIALG_2:attr.1">opers_closed</a>  ) ) ) );<br/></span></div>
