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<div><span class="kw">theorem </span><a NAME="T6"><span class="comment"><font color="firebrick">:: MULTOP_1:6</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font>, <font color="Olive" title="b3">C</font>, <font color="Olive" title="b4">D</font>, <font color="Olive" title="b5">E</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="b6">f1</font>, <font color="Olive" title="b7">f2</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K4" title="ZFMISC_1:func.4">[:</a><span class="default"><font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font>,<font color="Olive" title="b3">C</font>,<font color="Olive" title="b4">D</font></span><a href="zfmisc_1.html#K4" title="ZFMISC_1:func.4">:]</a></span>,<font color="Olive" title="b5">E</font>  st (  for <font color="Olive" title="b8">a</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b9">b</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">B</font><br/>  for <font color="Olive" title="b10">c</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b3">C</font><br/>  for <font color="Olive" title="b11">d</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b4">D</font> holds  <font color="Olive" title="b6">f1</font> <a href="multop_1.html#K4" title="MULTOP_1:func.4">.</a> (<font color="Olive" title="b8">a</font>,<font color="Olive" title="b9">b</font>,<font color="Olive" title="b10">c</font>,<font color="Olive" title="b11">d</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b7">f2</font> <a href="multop_1.html#K4" title="MULTOP_1:func.4">.</a> (<font color="Olive" title="b8">a</font>,<font color="Olive" title="b9">b</font>,<font color="Olive" title="b10">c</font>,<font color="Olive" title="b11">d</font>) ) holds <br/><font color="Olive" title="b6">f1</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b7">f2</font></div></div>
