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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E23">Th29</font></span>: <a NAME="T29"><span class="comment"><font color="firebrick">:: MSSUBLAT:29</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="unialg_1.html#NM1" title="UNIALG_1:NM.1">Universal_Algebra</a><br/>  for <font color="Olive" title="b2">a1</font>, <font color="Olive" title="b3">b1</font> being   <a href="unialg_1.html#V1" title="UNIALG_1:attr.1">strict</a>   <a href="unialg_1.html#V4" title="UNIALG_1:attr.4">non-empty</a>   <a href="unialg_2.html#M1" title="UNIALG_2:mode.1">SubAlgebra</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b4">a2</font>, <font color="Olive" title="b5">b2</font> being   <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a>   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>   <a href="msualg_2.html#M1" title="MSUALG_2:mode.1">MSSubAlgebra</a> of  <a href="msualg_1.html#K9" title="MSUALG_1:func.9">MSAlg</a> <font color="Olive" title="b1">A</font>  st <font color="Olive" title="b4">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="msualg_1.html#K9" title="MSUALG_1:func.9">MSAlg</a> <font color="Olive" title="b2">a1</font> &amp; <font color="Olive" title="b5">b2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="msualg_1.html#K9" title="MSUALG_1:func.9">MSAlg</a> <font color="Olive" title="b3">b1</font> holds <br/> the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Olive" title="b4">a2</font> <a href="pboole.html#K3" title="PBOOLE:func.3">(/\)</a>  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Olive" title="b5">b2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">.--&gt;</a> <span class="p1">(<span class="default"> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">a1</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b3">b1</font></span>)</span></div></div>
