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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: CGAMES_1:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">g</font>, <font color="Olive" title="b2">gO</font> being   <a href="cgames_1.html#NM1" title="CGAMES_1:NM.1">ConwayGame</a>  st ( <font color="Olive" title="b2">gO</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="cgames_1.html#K6" title="CGAMES_1:func.6">the_LeftOptions_of</a> <font color="Olive" title="b1">g</font> or <font color="Olive" title="b2">gO</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="cgames_1.html#K7" title="CGAMES_1:func.7">the_RightOptions_of</a> <font color="Olive" title="b1">g</font> ) holds <br/> <a href="cgames_1.html#K9" title="CGAMES_1:func.9">ConwayRank</a> <font color="Olive" title="b2">gO</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="cgames_1.html#K9" title="CGAMES_1:func.9">ConwayRank</a> <font color="Olive" title="b1">g</font></div></div>
