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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E1">Def1</font></span>   defines <a href="lopban10.html#K1" title="LOPBAN10:func.1">reproj</a> <a onclick="hs(this)" href="javascript:()">LOPBAN10:def 1 : <br/></a><span> for <font color="Olive" title="b1">X</font> being   <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a>   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a><br/>  for <font color="Olive" title="b2">i</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> <br/>  for <font color="Olive" title="b3">x</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="card_3.html#K4" title="CARD_3:func.4">product</a> <font color="Olive" title="b1">X</font><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">X</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b2">i</font></span>)</span>,<span class="p1">(<span class="default"><a href="card_3.html#K4" title="CARD_3:func.4">product</a> <font color="Olive" title="b1">X</font></span>)</span> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lopban10.html#K1" title="LOPBAN10:func.1">reproj</a> (<font color="Olive" title="b2">i</font>,<font color="Olive" title="b3">x</font>) iff  for <font color="Olive" title="b5">r</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b5">r</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">X</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b2">i</font> holds <br/><font color="Olive">b<sub>4</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">x</font> <a href="funct_7.html#K1" title="FUNCT_7:func.1">+*</a> (<font color="Olive" title="b2">i</font>,<font color="Olive" title="b5">r</font>) );<br/></span></div>
