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<b>let </b><font color="Maroon" title="c1">GSq</font> be   <a href="glib_000.html#NM11" title="GLIB_000:NM.11">GraphSeq</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">GSq</font> is <a href="glib_000.html#V16" title="GLIB_000:attr.16">trivial</a> implies <font color="Maroon" title="c1">GSq</font> is <a href="glib_002.html#V6" title="GLIB_002:attr.6">connected</a> )</span><br/>

<b>assume </b><a NAME="E1:56_1_1"/><i><font color="Green" title="E39">A1</font></i>: 
<font color="Maroon" title="c1">GSq</font> is <a href="glib_000.html#V16" title="GLIB_000:attr.16">trivial</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">GSq</font> is <a href="glib_002.html#V6" title="GLIB_002:attr.6">connected</a></span><br/>

<b>let </b><font color="Maroon" title="c2">n</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>; <i><font color="Red">:: according to </font></i><a class="ref" href="glib_002.html#D12" target="_self" title="GLIB_002:def.12">GLIB_002:def 12</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">GSq</font> <a href="glib_000.html#K42" title="GLIB_000:func.42">.</a> <font color="Maroon" title="c2">n</font> is <a href="glib_002.html#V1" title="GLIB_002:attr.1">connected</a></span><br/>

<b>reconsider </b><font color="Maroon" title="c3">G</font> = <font color="Maroon" title="c1">GSq</font> <a href="glib_000.html#K42" title="GLIB_000:func.42">.</a> <font color="Maroon" title="c2">n</font> as  <a href="glib_000.html#V4" title="GLIB_000:attr.4">trivial</a> <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a> <b>by </b><i><a class="txt" href="glib_002.html#E1:56_1_1"><i><font color="Green" title="E39">A1</font></i></a>, <a class="ref" href="glib_000.html#D62" title="GLIB_000:def.62">GLIB_000:def 62</a></i>;<br/>
<a NAME="E3:56_1_1"/>
<font color="Maroon" title="c3">G</font> is <a href="glib_002.html#V1" title="GLIB_002:attr.1">connected</a>
 
;<br/>
<b>hence </b><a NAME="E4:56_1_1"/>
<font color="Maroon" title="c1">GSq</font> <a href="glib_000.html#K42" title="GLIB_000:func.42">.</a> <font color="Maroon" title="c2">n</font> is <a href="glib_002.html#V1" title="GLIB_002:attr.1">connected</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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