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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E39">Def13</font></span>   defines <a href="osalg_2.html#K11" title="OSALG_2:func.11">"\/"_os</a> <a onclick="hs(this)" href="javascript:()">OSALG_2:def 13 : <br/></a><span> for <font color="Olive" title="b1">S1</font> being   <a href="osalg_1.html#NM3" title="OSALG_1:NM.3">OrderSortedSign</a><br/>  for <font color="Olive" title="b2">U0</font> being   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="osalg_1.html#NM5" title="OSALG_1:NM.5">OSAlgebra</a> of <font color="Olive" title="b1">S1</font><br/>  for <font color="Olive" title="b3">U1</font>, <font color="Olive" title="b4">U2</font> being   <a href="osalg_2.html#NM3" title="OSALG_2:NM.3">OSSubAlgebra</a> of <font color="Olive" title="b2">U0</font><br/>  for <font color="Olive">b<sub>5</sub></font> being   <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a>  <a href="osalg_2.html#NM3" title="OSALG_2:NM.3">OSSubAlgebra</a> of <font color="Olive" title="b2">U0</font> holds <br/> ( <font color="Olive">b<sub>5</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">U1</font> <a href="osalg_2.html#K11" title="OSALG_2:func.11">"\/"_os</a> <font color="Olive" title="b4">U2</font> iff  for <font color="Olive" title="b6">A</font> being    <a href="osalg_2.html#M2" title="OSALG_2:mode.2">OSSubset</a> of <font color="Olive" title="b2">U0</font>  st <font color="Olive" title="b6">A</font> <a href="pboole.html#R8" title="PBOOLE:pred.8">=</a>  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Olive" title="b3">U1</font> <a href="pboole.html#K2" title="PBOOLE:func.2">(\/)</a>  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Olive" title="b4">U2</font> holds <br/><font color="Olive">b<sub>5</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="osalg_2.html#K10" title="OSALG_2:func.10">GenOSAlg</a> <font color="Olive" title="b6">A</font> );<br/></span></div>
