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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: BINARI_6:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font>, <font color="Olive" title="b3">z</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a>   st <font color="Olive" title="b1">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <a href="binari_6.html#K2" title="BINARI_6:func.2">Nat2BL</a> &amp; <font color="Olive" title="b2">y</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <a href="binari_6.html#K2" title="BINARI_6:func.2">Nat2BL</a> &amp; <font color="Olive" title="b3">z</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <a href="binari_6.html#K2" title="BINARI_6:func.2">Nat2BL</a> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b1">x</font> <a href="binari_6.html#K5" title="BINARI_6:func.5">+</a> <font color="Olive" title="b2">y</font></span>)</span> <a href="binari_6.html#K5" title="BINARI_6:func.5">+</a> <font color="Olive" title="b3">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">x</font> <a href="binari_6.html#K5" title="BINARI_6:func.5">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">y</font> <a href="binari_6.html#K5" title="BINARI_6:func.5">+</a> <font color="Olive" title="b3">z</font></span>)</span></div></div>
