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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>;<br/>

<b>assume </b><a NAME="E1:57_4_1"/><i><font color="Green" title="E39">A4</font></i>: 
<font color="Maroon" title="c1">GSq</font> is <a href="glib_002.html#V8" title="GLIB_002:attr.8">Tree-like</a>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="57_4_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c2">n</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>;<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_002.html#V3" title="GLIB_002:attr.3">Tree-like</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#E1:57_4_1"><i><font color="Green" title="E39">A4</font></i></a>, <a class="ref" href="glib_002.html#D14" target="_self" title="GLIB_002:def.14">Def14</a></i>;<br/><a NAME="E2:57_4_1_1"/>
( <font color="Maroon" title="c3">G</font> is <a href="glib_002.html#V2" title="GLIB_002:attr.2">acyclic</a> &amp; <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="E3:57_4_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#V2" title="GLIB_002:attr.2">acyclic</a> &amp; <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> )
 ;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:57_4_1"/>
( <font color="Maroon" title="c1">GSq</font> is <a href="glib_002.html#V7" title="GLIB_002:attr.7">acyclic</a> &amp; <font color="Maroon" title="c1">GSq</font> is <a href="glib_002.html#V6" title="GLIB_002:attr.6">connected</a> )
 <b>by </b><i><a class="ref" href="glib_002.html#D12" target="_self" title="GLIB_002:def.12">Def12</a>, <a class="ref" href="glib_002.html#D13" target="_self" title="GLIB_002:def.13">Def13</a></i>;<br/>


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