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<div><span class="kw">theorem </span><a NAME="T26"><span class="comment"><font color="firebrick">:: GLPACY00:26</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font> being   non  <a href="glib_000.html#V4" title="GLIB_000:attr.4">_trivial</a>   <a href="glpacy00.html#V1" title="GLPACY00:attr.1">Path-like</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a> holds <br/> ( ( <font color="Olive" title="b1">P</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.order()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 implies <font color="Olive" title="b1">P</font> <a href="glib_013.html#K18" title="GLIB_013:func.18">.maxDegree()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 ) &amp; ( <font color="Olive" title="b1">P</font> <a href="glib_013.html#K18" title="GLIB_013:func.18">.maxDegree()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 implies <font color="Olive" title="b1">P</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.order()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 ) &amp; ( <font color="Olive" title="b1">P</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.order()</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 2 implies <font color="Olive" title="b1">P</font> <a href="glib_013.html#K18" title="GLIB_013:func.18">.maxDegree()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 ) &amp; ( <font color="Olive" title="b1">P</font> <a href="glib_013.html#K18" title="GLIB_013:func.18">.maxDegree()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 implies <font color="Olive" title="b1">P</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.order()</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 2 ) ) <span class="kw">by</span> <span class="lab"><a class="txt" href="glpacy00.html#E41"><span class="lab"><font color="Green" title="E35">Lm7</font></span></a></span>;<br/></div></div>
