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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E20">Th15</font></span>: <a NAME="T15"><span class="comment"><font color="firebrick">:: MSUALG_3:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   non  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>   <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> <br/>  for <font color="Olive" title="b2">U1</font>, <font color="Olive" title="b3">U2</font>, <font color="Olive" title="b4">U3</font> being   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>   <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> over <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b5">H</font> being   <a href="msualg_3.html#NM1" title="MSUALG_3:NM.1">ManySortedFunction</a> of <font color="Olive" title="b2">U1</font>,<font color="Olive" title="b3">U2</font><br/>  for <font color="Olive" title="b6">H1</font> being   <a href="msualg_3.html#NM1" title="MSUALG_3:NM.1">ManySortedFunction</a> of <font color="Olive" title="b3">U2</font>,<font color="Olive" title="b4">U3</font>  st <font color="Olive" title="b5">H</font> <a href="msualg_3.html#R4" title="MSUALG_3:pred.4">is_isomorphism</a> <font color="Olive" title="b2">U1</font>,<font color="Olive" title="b3">U2</font> &amp; <font color="Olive" title="b6">H1</font> <a href="msualg_3.html#R4" title="MSUALG_3:pred.4">is_isomorphism</a> <font color="Olive" title="b3">U2</font>,<font color="Olive" title="b4">U3</font> holds <br/><font color="Olive" title="b6">H1</font> <a href="msualg_3.html#K3" title="MSUALG_3:func.3">**</a> <font color="Olive" title="b5">H</font> <a href="msualg_3.html#R4" title="MSUALG_3:pred.4">is_isomorphism</a> <font color="Olive" title="b2">U1</font>,<font color="Olive" title="b4">U3</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="msualg_3.html#T11" target="_self" onmouseover="rs('msualg_3/T11')" onmouseout="rh()">Th11</a>, <a class="ref" href="msualg_3.html#T12" target="_self" onmouseover="rs('msualg_3/T12')" onmouseout="rh()">Th12</a></span>;<br/></div></div>
