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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E44">Th44</font></span>: <a NAME="T52"><span class="comment"><font color="firebrick">:: ANPROJ_8:52</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">q</font>, <font color="Olive" title="b3">r</font>, <font color="Olive" title="b4">s</font> being   non  <a href="struct_0.html#V9" title="STRUCT_0:attr.9">zero</a>  <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 3</span>)</span>  holds <br/>(  not <span class="p1">(<span class="default"><font color="Olive" title="b1">p</font> <a href="euclid_5.html#K5" title="EUCLID_5:func.5">&lt;X&gt;</a> <font color="Olive" title="b2">q</font></span>)</span> <a href="euclid_5.html#K5" title="EUCLID_5:func.5">&lt;X&gt;</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">r</font> <a href="euclid_5.html#K5" title="EUCLID_5:func.5">&lt;X&gt;</a> <font color="Olive" title="b4">s</font></span>)</span> is  <a href="struct_0.html#V9" title="STRUCT_0:attr.9">zero</a>  or  <a href="anproj_1.html#R1" title="ANPROJ_1:pred.1">are_Prop</a> <font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">q</font> or  <a href="anproj_1.html#R1" title="ANPROJ_1:pred.1">are_Prop</a> <font color="Olive" title="b3">r</font>,<font color="Olive" title="b4">s</font> or  <a href="anproj_1.html#R1" title="ANPROJ_1:pred.1">are_Prop</a> <font color="Olive" title="b1">p</font> <a href="euclid_5.html#K5" title="EUCLID_5:func.5">&lt;X&gt;</a> <font color="Olive" title="b2">q</font>,<font color="Olive" title="b3">r</font> <a href="euclid_5.html#K5" title="EUCLID_5:func.5">&lt;X&gt;</a> <font color="Olive" title="b4">s</font> )</div></div>
