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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E27">Th15</font></span>: <a NAME="T27"><span class="comment"><font color="firebrick">:: BAGORD_2:27</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">k</font>, <font color="Olive" title="b3">x1</font>, <font color="Olive" title="b4">x2</font>, <font color="Olive" title="b5">y1</font>, <font color="Olive" title="b6">y2</font> being   <a href="pre_poly.html#NM2" title="PRE_POLY:NM.2">bag</a> of <font color="Olive" title="b1">I</font>  st <font color="Olive" title="b4">x2</font> <a href="pre_poly.html#R3" title="PRE_POLY:pred.3">divides</a> <font color="Olive" title="b2">k</font> &amp; <font color="Olive" title="b3">x1</font> <a href="pre_poly.html#R3" title="PRE_POLY:pred.3">divides</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">k</font> <a href="pre_poly.html#K12" title="PRE_POLY:func.12">-'</a> <font color="Olive" title="b4">x2</font></span>)</span> <a href="pre_poly.html#K11" title="PRE_POLY:func.11">+</a> <font color="Olive" title="b6">y2</font> holds <br/>( <font color="Olive" title="b4">x2</font> <a href="pre_poly.html#K11" title="PRE_POLY:func.11">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">x1</font> <a href="pre_poly.html#K12" title="PRE_POLY:func.12">-'</a> <font color="Olive" title="b6">y2</font></span>)</span> <a href="pre_poly.html#R3" title="PRE_POLY:pred.3">divides</a> <font color="Olive" title="b2">k</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b2">k</font> <a href="pre_poly.html#K12" title="PRE_POLY:func.12">-'</a> <font color="Olive" title="b4">x2</font></span>)</span> <a href="pre_poly.html#K11" title="PRE_POLY:func.11">+</a> <font color="Olive" title="b6">y2</font></span>)</span> <a href="pre_poly.html#K12" title="PRE_POLY:func.12">-'</a> <font color="Olive" title="b3">x1</font></span>)</span> <a href="pre_poly.html#K11" title="PRE_POLY:func.11">+</a> <font color="Olive" title="b5">y1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">k</font> <a href="pre_poly.html#K12" title="PRE_POLY:func.12">-'</a> <span class="p2">(<span class="default"><font color="Olive" title="b4">x2</font> <a href="pre_poly.html#K11" title="PRE_POLY:func.11">+</a> <span class="p3">(<span class="default"><font color="Olive" title="b3">x1</font> <a href="pre_poly.html#K12" title="PRE_POLY:func.12">-'</a> <font color="Olive" title="b6">y2</font></span>)</span></span>)</span></span>)</span> <a href="pre_poly.html#K11" title="PRE_POLY:func.11">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b6">y2</font> <a href="pre_poly.html#K12" title="PRE_POLY:func.12">-'</a> <font color="Olive" title="b3">x1</font></span>)</span> <a href="pre_poly.html#K11" title="PRE_POLY:func.11">+</a> <font color="Olive" title="b5">y1</font></span>)</span> )</div></div>
