<?xml version="1.0"?>
<div class="add">

<span class="kw">let </span><font color="Maroon" title="c1">T</font> be   <a href="trees_1.html#NM1" title="TREES_1:NM.1">Tree</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">T</font> is  <a href="bintree2.html#V1" title="BINTREE2:attr.1">full</a>  implies <font color="Maroon" title="c1">T</font> is  <a href="bintree1.html#V1" title="BINTREE1:attr.1">binary</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:19_1_1"/>
<font color="Maroon" title="c1">T</font> is  <a href="bintree2.html#V1" title="BINTREE2:attr.1">full</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">T</font> is  <a href="bintree1.html#V1" title="BINTREE1:attr.1">binary</a> </span><br/>

<a NAME="E2:19_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c1">T</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K7" title="DOMAIN_1:func.7">{</a><span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a>,1</span><a href="domain_1.html#K7" title="DOMAIN_1:func.7">}</a></span> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="bintree2.html#D2" target="_self" title="BINTREE2:def.2">Def2</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:19_1_1"/>
<font color="Maroon" title="c1">T</font> is  <a href="bintree1.html#V1" title="BINTREE1:attr.1">binary</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="bintree2.html#T3" target="_self" title="BINTREE2:th.3">Th3</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
