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<span class="kw">let </span><font color="Maroon" title="c1">g</font> be   <a href="cgames_1.html#NM1" title="CGAMES_1:NM.1">ConwayGame</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">g</font> is  <a href="cgames_1.html#V7" title="CGAMES_1:attr.7">zero</a>  iff ( (  for <font color="Olive" title="b1">gL</font> being   <a href="cgames_1.html#NM1" title="CGAMES_1:NM.1">ConwayGame</a>  holds <br/>(  not <font color="Olive" title="b1">gL</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cgames_1.html#K6" title="CGAMES_1:func.6">the_LeftOptions_of</a> <font color="Maroon" title="c1">g</font> or <font color="Olive" title="b1">gL</font> is  <a href="cgames_1.html#V8" title="CGAMES_1:attr.8">fuzzy</a>  or <font color="Olive" title="b1">gL</font> is  <a href="cgames_1.html#V10" title="CGAMES_1:attr.10">negative</a>  ) ) &amp; (  for <font color="Olive" title="b1">gR</font> being   <a href="cgames_1.html#NM1" title="CGAMES_1:NM.1">ConwayGame</a>  holds <br/>(  not <font color="Olive" title="b1">gR</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cgames_1.html#K7" title="CGAMES_1:func.7">the_RightOptions_of</a> <font color="Maroon" title="c1">g</font> or <font color="Olive" title="b1">gR</font> is  <a href="cgames_1.html#V8" title="CGAMES_1:attr.8">fuzzy</a>  or <font color="Olive" title="b1">gR</font> is  <a href="cgames_1.html#V9" title="CGAMES_1:attr.9">positive</a>  ) ) ) )</span><br/>

<span class="kw">thus </span><a NAME="E1:94"/>
( <font color="Maroon" title="c1">g</font> is  <a href="cgames_1.html#V7" title="CGAMES_1:attr.7">zero</a>  implies ( (  for <font color="Olive" title="b1">gL</font> being   <a href="cgames_1.html#NM1" title="CGAMES_1:NM.1">ConwayGame</a>  holds <br/>(  not <font color="Olive" title="b1">gL</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cgames_1.html#K6" title="CGAMES_1:func.6">the_LeftOptions_of</a> <font color="Maroon" title="c1">g</font> or <font color="Olive" title="b1">gL</font> is  <a href="cgames_1.html#V8" title="CGAMES_1:attr.8">fuzzy</a>  or <font color="Olive" title="b1">gL</font> is  <a href="cgames_1.html#V10" title="CGAMES_1:attr.10">negative</a>  ) ) &amp; (  for <font color="Olive" title="b1">gR</font> being   <a href="cgames_1.html#NM1" title="CGAMES_1:NM.1">ConwayGame</a>  holds <br/>(  not <font color="Olive" title="b1">gR</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cgames_1.html#K7" title="CGAMES_1:func.7">the_RightOptions_of</a> <font color="Maroon" title="c1">g</font> or <font color="Olive" title="b1">gR</font> is  <a href="cgames_1.html#V8" title="CGAMES_1:attr.8">fuzzy</a>  or <font color="Olive" title="b1">gR</font> is  <a href="cgames_1.html#V9" title="CGAMES_1:attr.9">positive</a>  ) ) ) )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="cgames_1.html#T45" target="_self" title="CGAMES_1:th.45">Th45</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( (  for <font color="Olive" title="b1">gL</font> being   <a href="cgames_1.html#NM1" title="CGAMES_1:NM.1">ConwayGame</a>  holds <br/>(  not <font color="Olive" title="b1">gL</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cgames_1.html#K6" title="CGAMES_1:func.6">the_LeftOptions_of</a> <font color="Maroon" title="c1">g</font> or <font color="Olive" title="b1">gL</font> is  <a href="cgames_1.html#V8" title="CGAMES_1:attr.8">fuzzy</a>  or <font color="Olive" title="b1">gL</font> is  <a href="cgames_1.html#V10" title="CGAMES_1:attr.10">negative</a>  ) ) &amp; (  for <font color="Olive" title="b1">gR</font> being   <a href="cgames_1.html#NM1" title="CGAMES_1:NM.1">ConwayGame</a>  holds <br/>(  not <font color="Olive" title="b1">gR</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cgames_1.html#K7" title="CGAMES_1:func.7">the_RightOptions_of</a> <font color="Maroon" title="c1">g</font> or <font color="Olive" title="b1">gR</font> is  <a href="cgames_1.html#V8" title="CGAMES_1:attr.8">fuzzy</a>  or <font color="Olive" title="b1">gR</font> is  <a href="cgames_1.html#V9" title="CGAMES_1:attr.9">positive</a>  ) ) implies <font color="Maroon" title="c1">g</font> is  <a href="cgames_1.html#V7" title="CGAMES_1:attr.7">zero</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E2:94"/>
( (  for <font color="Olive" title="b1">gL</font> being   <a href="cgames_1.html#NM1" title="CGAMES_1:NM.1">ConwayGame</a>  holds <br/>(  not <font color="Olive" title="b1">gL</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cgames_1.html#K6" title="CGAMES_1:func.6">the_LeftOptions_of</a> <font color="Maroon" title="c1">g</font> or <font color="Olive" title="b1">gL</font> is  <a href="cgames_1.html#V8" title="CGAMES_1:attr.8">fuzzy</a>  or <font color="Olive" title="b1">gL</font> is  <a href="cgames_1.html#V10" title="CGAMES_1:attr.10">negative</a>  ) ) &amp; (  for <font color="Olive" title="b1">gR</font> being   <a href="cgames_1.html#NM1" title="CGAMES_1:NM.1">ConwayGame</a>  holds <br/>(  not <font color="Olive" title="b1">gR</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="cgames_1.html#K7" title="CGAMES_1:func.7">the_RightOptions_of</a> <font color="Maroon" title="c1">g</font> or <font color="Olive" title="b1">gR</font> is  <a href="cgames_1.html#V8" title="CGAMES_1:attr.8">fuzzy</a>  or <font color="Olive" title="b1">gR</font> is  <a href="cgames_1.html#V9" title="CGAMES_1:attr.9">positive</a>  ) ) )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">g</font> is  <a href="cgames_1.html#V7" title="CGAMES_1:attr.7">zero</a> </span><br/>

<a NAME="E3:94"/><span class="kw">then </span>
( <font color="Maroon" title="c1">g</font> is  <a href="cgames_1.html#V6" title="CGAMES_1:attr.6">nonpositive</a>  &amp; <font color="Maroon" title="c1">g</font> is  <a href="cgames_1.html#V5" title="CGAMES_1:attr.5">nonnegative</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cgames_1.html#T45" target="_self" title="CGAMES_1:th.45">Th45</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:94"/>
<font color="Maroon" title="c1">g</font> is  <a href="cgames_1.html#V7" title="CGAMES_1:attr.7">zero</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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