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<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="4_1_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:4_1_1_1"/><i><font color="Green" title="E1">A1</font></i>: 
 <a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <font color="Maroon" title="c2">A</font> is <a href="realset1.html#V1" title="REALSET1:attr.1">trivial</a>
 ;<br/><a NAME="E2:4_1_1_1"/>
<font color="Maroon" title="c2">A</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <font color="Maroon" title="c2">A</font>
 <b>by </b><i><a class="ref" href="pre_topc.html#T48" title="PRE_TOPC:th.48">PRE_TOPC:48</a></i>;<br/><b>hence </b><a NAME="E3:4_1_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="tex_4.html#E1:4_1_1_1"><i><font color="Green" title="E1">A1</font></i></a>, <a class="ref" href="tex_2.html#T1" title="TEX_2:th.1">TEX_2:1</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:4_1_1"/>
not  <a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <font color="Maroon" title="c2">A</font> is <a href="realset1.html#V1" title="REALSET1:attr.1">trivial</a>
 ;<br/>


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