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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E5">Th8</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: MSSUBLAT:8</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>  st <font color="Olive" title="b1">U1</font> is    <a href="unialg_2.html#M1" title="UNIALG_2:mode.1">SubAlgebra</a> of <font color="Olive" title="b2">U2</font> holds <br/> for <font color="Olive" title="b3">B</font> being   <a href="msualg_2.html#NM1" title="MSUALG_2:NM.1">MSSubset</a> of <span class="p1">(<span class="default"><a href="msualg_1.html#K9" title="MSUALG_1:func.9">MSAlg</a> <font color="Olive" title="b2">U2</font></span>)</span>  st <font color="Olive" title="b3">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <span class="p1">(<span class="default"><a href="msualg_1.html#K9" title="MSUALG_1:func.9">MSAlg</a> <font color="Olive" title="b1">U1</font></span>)</span> holds <br/> for <font color="Olive" title="b4">o</font> being   <a href="msualg_1.html#NM2" title="MSUALG_1:NM.2">OperSymbol</a> of <span class="p1">(<span class="default"><a href="msualg_1.html#K6" title="MSUALG_1:func.6">MSSign</a> <font color="Olive" title="b2">U2</font></span>)</span><br/>  for <font color="Olive" title="b5">a</font> being   <a href="msualg_1.html#NM2" title="MSUALG_1:NM.2">OperSymbol</a> of <span class="p1">(<span class="default"><a href="msualg_1.html#K6" title="MSUALG_1:func.6">MSSign</a> <font color="Olive" title="b1">U1</font></span>)</span>  st <font color="Olive" title="b5">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">o</font> holds <br/> <a href="msualg_1.html#K5" title="MSUALG_1:func.5">Den</a> (<font color="Olive" title="b5">a</font>,<span class="p1">(<span class="default"><a href="msualg_1.html#K9" title="MSUALG_1:func.9">MSAlg</a> <font color="Olive" title="b1">U1</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="msualg_1.html#K5" title="MSUALG_1:func.5">Den</a> (<font color="Olive" title="b4">o</font>,<span class="p2">(<span class="default"><a href="msualg_1.html#K9" title="MSUALG_1:func.9">MSAlg</a> <font color="Olive" title="b2">U2</font></span>)</span>)</span>)</span> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <span class="p1">(<span class="default"><a href="msualg_1.html#K3" title="MSUALG_1:func.3">Args</a> (<font color="Olive" title="b5">a</font>,<span class="p2">(<span class="default"><a href="msualg_1.html#K9" title="MSUALG_1:func.9">MSAlg</a> <font color="Olive" title="b1">U1</font></span>)</span>)</span>)</span></div></div>
