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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E25">Th15</font></span>: <a NAME="T15"><span class="comment"><font color="firebrick">:: PARSP_1:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font>, <font color="Olive" title="b4">p</font>, <font color="Olive" title="b5">q</font>, <font color="Olive" title="b6">r</font>, <font color="Olive" title="b7">s</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="parsp_1.html#K9" title="PARSP_1:func.9">MPS</a> <font color="Olive" title="b1">F</font></span>)</span>  st <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Olive" title="b4">p</font>,<font color="Olive" title="b5">q</font> &amp; <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Olive" title="b6">r</font>,<font color="Olive" title="b7">s</font> &amp;  not <font color="Olive" title="b4">p</font>,<font color="Olive" title="b5">q</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Olive" title="b6">r</font>,<font color="Olive" title="b7">s</font> holds <br/><font color="Olive" title="b2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">b</font></div></div>
