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<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="119_1_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:119_1_1_1"/>
 <a href="tex_4.html#NK6" title="TEX_4:NK.6">Sspace</a> <font color="Maroon" title="c2">A</font> is <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>
 ;<br/><a NAME="E2:119_1_1_1"/><b>then </b>
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="tex_4.html#NK6" title="TEX_4:NK.6">Sspace</a> <font color="Maroon" title="c2">A</font></span>)</span> is <a href="realset1.html#V1" title="REALSET1:attr.1">trivial</a>
 <b>by </b><i><a class="ref" href="struct_0.html#D9" title="STRUCT_0:def.9">STRUCT_0:def 9</a></i>;<br/><b>hence </b><a NAME="E3:119_1_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="tex_4.html#E100"><i><font color="Green" title="E63">Lm3</font></i></a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:119_1_1"/>
not  <a href="tex_4.html#NK6" title="TEX_4:NK.6">Sspace</a> <font color="Maroon" title="c2">A</font> is <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>
 ;<br/>


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