<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="qc_lang1.html#K31" title="QC_LANG1:func.31">-one_in</a> <a onclick="hs(this)" href="javascript:()">QC_LANG1:def 41 : <br/></a><span> for <font color="Olive" title="b1">A</font> being    <a href="qc_lang1.html#M1" title="QC_LANG1:mode.1">QC-alphabet</a> <br/>  for <font color="Olive" title="b2">Y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( ( <font color="Olive" title="b2">Y</font> is   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="qc_lang1.html#K1" title="QC_LANG1:func.1">QC-symbols</a> <font color="Olive" title="b1">A</font></span>)</span> implies <font color="Olive" title="b1">A</font> <a href="qc_lang1.html#K31" title="QC_LANG1:func.31">-one_in</a> <font color="Olive" title="b2">Y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">Y</font> ) &amp; ( <font color="Olive" title="b2">Y</font> is  not   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="qc_lang1.html#K1" title="QC_LANG1:func.1">QC-symbols</a> <font color="Olive" title="b1">A</font></span>)</span> implies <font color="Olive" title="b1">A</font> <a href="qc_lang1.html#K31" title="QC_LANG1:func.31">-one_in</a> <font color="Olive" title="b2">Y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="qc_lang1.html#K26" title="QC_LANG1:func.26">0</a> <font color="Olive" title="b1">A</font> ) );<br/></span></div>
