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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E5">Th5</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: ALGSPEC1:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X1</font>, <font color="Olive" title="b2">Y1</font>, <font color="Olive" title="b3">X2</font>, <font color="Olive" title="b4">Y2</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b5">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b1">X1</font>,<font color="Olive" title="b3">X2</font><br/>  for <font color="Olive" title="b6">g</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b2">Y1</font>,<font color="Olive" title="b4">Y2</font>  st <font color="Olive" title="b5">f</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a> <font color="Olive" title="b6">g</font> holds <br/><font color="Olive" title="b5">f</font> <a href="lang1.html#K12" title="LANG1:func.12">*</a>  <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a> <font color="Olive" title="b6">g</font> <a href="lang1.html#K12" title="LANG1:func.12">*</a> </div></div>
