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<span class="kw">let </span><font color="Maroon" title="c1">G1</font>, <font color="Maroon" title="c2">G2</font> be   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">G1</font> <a href="glib_000.html#R5" title="GLIB_000:pred.5">==</a> <font color="Maroon" title="c2">G2</font> &amp; <font color="Maroon" title="c1">G1</font> is  <a href="glib_002.html#V3" title="GLIB_002:attr.3">Tree-like</a>  implies <font color="Maroon" title="c2">G2</font> is  <a href="glib_002.html#V3" title="GLIB_002:attr.3">Tree-like</a>  )</span><br/>



<span class="kw">assume </span><a NAME="E1:80"/>
( <font color="Maroon" title="c1">G1</font> <a href="glib_000.html#R5" title="GLIB_000:pred.5">==</a> <font color="Maroon" title="c2">G2</font> &amp; <font color="Maroon" title="c1">G1</font> is  <a href="glib_002.html#V3" title="GLIB_002:attr.3">Tree-like</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">G2</font> is  <a href="glib_002.html#V3" title="GLIB_002:attr.3">Tree-like</a> </span><br/>

<a NAME="E2:80"/><span class="kw">then </span>
( <font color="Maroon" title="c2">G2</font> is  <a href="glib_002.html#V1" title="GLIB_002:attr.1">connected</a>  &amp; <font color="Maroon" title="c2">G2</font> is  <a href="glib_002.html#V2" title="GLIB_002:attr.2">acyclic</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="glib_002.html#T8" target="_self" title="GLIB_002:th.8">Th8</a>, <a class="ref" href="glib_002.html#T44" target="_self" title="GLIB_002:th.44">Th44</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:80"/>
<font color="Maroon" title="c2">G2</font> is  <a href="glib_002.html#V3" title="GLIB_002:attr.3">Tree-like</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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