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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E29">Th39</font></span>: <a NAME="T44"><span class="comment"><font color="firebrick">:: AOFA_A00:44</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">U1</font>, <font color="Olive" title="b2">U2</font> being   <a href="unialg_1.html#NM1" title="UNIALG_1:NM.1">Universal_Algebra</a><br/>  for <font color="Olive" title="b3">S1</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">U1</font><br/>  for <font color="Olive" title="b4">S2</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b2">U2</font>  st <font color="Olive" title="b3">S1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">S2</font> holds <br/> for <font color="Olive" title="b5">o1</font> being   <a href="unialg_2.html#NM3" title="UNIALG_2:NM.3">operation</a> of <font color="Olive" title="b1">U1</font><br/>  for <font color="Olive" title="b6">o2</font> being   <a href="unialg_2.html#NM3" title="UNIALG_2:NM.3">operation</a> of <font color="Olive" title="b2">U2</font>  st <font color="Olive" title="b5">o1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">o2</font> &amp; <font color="Olive" title="b3">S1</font> <a href="unialg_2.html#R2" title="UNIALG_2:pred.2">is_closed_on</a> <font color="Olive" title="b5">o1</font> holds <br/><font color="Olive" title="b4">S2</font> <a href="unialg_2.html#R2" title="UNIALG_2:pred.2">is_closed_on</a> <font color="Olive" title="b6">o2</font></div></div>
