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<span class="kw">let </span><font color="Maroon" title="c1">T</font> be   <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">T</font> is  <a href="topgen_4.html#V7" title="TOPGEN_4:attr.7">T_1/2</a>  implies <font color="Maroon" title="c1">T</font> is  <a href="pre_topc.html#V6" title="PRE_TOPC:attr.6">T_0</a>  )</span><br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="76_1_1_1"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:76_1_1_1"/>
(  not <font color="Maroon" title="c1">T</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  or <font color="Maroon" title="c1">T</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="76_1_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:76_1_1_1_1"/>
not <font color="Maroon" title="c1">T</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">T</font> is  <a href="topgen_4.html#V7" title="TOPGEN_4:attr.7">T_1/2</a>  implies <font color="Maroon" title="c1">T</font> is  <a href="pre_topc.html#V6" title="PRE_TOPC:attr.6">T_0</a>  )</span><br/><div class="add"><span class="kw">then </span><span class="kw">reconsider </span><font color="Maroon" title="c2">T9</font> = <font color="Maroon" title="c1">T</font> as  non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a> ;<br/><span class="kw">assume </span><a NAME="E3:76_1_1_1_1"/>
<font color="Maroon" title="c1">T</font> is  <a href="topgen_4.html#V7" title="TOPGEN_4:attr.7">T_1/2</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">T</font> is  <a href="pre_topc.html#V6" title="PRE_TOPC:attr.6">T_0</a> </span><br/><a NAME="E4:76_1_1_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c2">T9</font> is  <a href="topgen_4.html#V7" title="TOPGEN_4:attr.7">T_1/2</a> 
 ;<br/><span class="kw">hence </span><a NAME="E5:76_1_1_1_1"/>
<font color="Maroon" title="c1">T</font> is  <a href="pre_topc.html#V6" title="PRE_TOPC:attr.6">T_0</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="topgen_4.html#T49" target="_self" title="TOPGEN_4:th.49">Th49</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="76_1_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:76_1_1_1_2"/>
<font color="Maroon" title="c1">T</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">T</font> is  <a href="topgen_4.html#V7" title="TOPGEN_4:attr.7">T_1/2</a>  implies <font color="Maroon" title="c1">T</font> is  <a href="pre_topc.html#V6" title="PRE_TOPC:attr.6">T_0</a>  )</span><br/><div class="add"><span class="kw">then </span><span class="kw">reconsider </span><font color="Maroon" title="c2">T9</font> = <font color="Maroon" title="c1">T</font> as   <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a> ;<br/><a NAME="E3:76_1_1_1_2"/>
<font color="Maroon" title="c2">T9</font> is  <a href="pre_topc.html#V6" title="PRE_TOPC:attr.6">T_0</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="tsp_1.html#D4" title="TSP_1:def.4">TSP_1:def 4</a></span>;<br/><span class="kw">hence </span><a NAME="E4:76_1_1_1_2"/>
( <font color="Maroon" title="c1">T</font> is  <a href="topgen_4.html#V7" title="TOPGEN_4:attr.7">T_1/2</a>  implies <font color="Maroon" title="c1">T</font> is  <a href="pre_topc.html#V6" title="PRE_TOPC:attr.6">T_0</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div>

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