<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E102">Th115</font></span>: <a NAME="T115"><span class="comment"><font color="firebrick">:: ABCMIZ_1:115</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">D1</font>, <font color="Olive" title="b2">D2</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="lang1.html#L1" title="LANG1:struct.1">DTConstrStr</a>   st  the <a href="lang1.html#U1" title="LANG1:sel.1">Rules</a> of <font color="Olive" title="b1">D1</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a>  the <a href="lang1.html#U1" title="LANG1:sel.1">Rules</a> of <font color="Olive" title="b2">D2</font> holds <br/>(  <a href="abcmiz_1.html#K52" title="ABCMIZ_1:func.52">NonTerminals</a> <font color="Olive" title="b1">D1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="abcmiz_1.html#K52" title="ABCMIZ_1:func.52">NonTerminals</a> <font color="Olive" title="b2">D2</font> &amp;  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">D1</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p1">(<span class="default"><a href="abcmiz_1.html#K51" title="ABCMIZ_1:func.51">Terminals</a> <font color="Olive" title="b2">D2</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="abcmiz_1.html#K51" title="ABCMIZ_1:func.51">Terminals</a> <font color="Olive" title="b1">D1</font> &amp; (  <a href="abcmiz_1.html#K51" title="ABCMIZ_1:func.51">Terminals</a> <font color="Olive" title="b1">D1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="abcmiz_1.html#K51" title="ABCMIZ_1:func.51">Terminals</a> <font color="Olive" title="b2">D2</font> implies  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">D1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">D2</font> ) )</div></div>
