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<div><span class="kw">theorem </span><a NAME="T20"><span class="comment"><font color="firebrick">:: BVFUNC_1:20</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Y</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> (  <a href="bvfunc_1.html#K13" title="BVFUNC_1:func.13">B_INF</a> <span class="p1">(<span class="default"><a href="bvfunc_1.html#K11" title="BVFUNC_1:func.11">O_el</a> <font color="Olive" title="b1">Y</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="bvfunc_1.html#K11" title="BVFUNC_1:func.11">O_el</a> <font color="Olive" title="b1">Y</font> &amp;  <a href="bvfunc_1.html#K13" title="BVFUNC_1:func.13">B_INF</a> <span class="p1">(<span class="default"><a href="bvfunc_1.html#K12" title="BVFUNC_1:func.12">I_el</a> <font color="Olive" title="b1">Y</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="bvfunc_1.html#K12" title="BVFUNC_1:func.12">I_el</a> <font color="Olive" title="b1">Y</font> &amp;  <a href="bvfunc_1.html#K14" title="BVFUNC_1:func.14">B_SUP</a> <span class="p1">(<span class="default"><a href="bvfunc_1.html#K11" title="BVFUNC_1:func.11">O_el</a> <font color="Olive" title="b1">Y</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="bvfunc_1.html#K11" title="BVFUNC_1:func.11">O_el</a> <font color="Olive" title="b1">Y</font> &amp;  <a href="bvfunc_1.html#K14" title="BVFUNC_1:func.14">B_SUP</a> <span class="p1">(<span class="default"><a href="bvfunc_1.html#K12" title="BVFUNC_1:func.12">I_el</a> <font color="Olive" title="b1">Y</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="bvfunc_1.html#K12" title="BVFUNC_1:func.12">I_el</a> <font color="Olive" title="b1">Y</font> )</div></div>
