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<div><span class="kw">theorem </span><a NAME="T41"><span class="comment"><font color="firebrick">:: BINARI_6:41</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">Z</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="eqrel_1.html#K8" title="EQREL_1:func.8">Class</a> <a href="binari_6.html#K10" title="BINARI_6:func.10">EqBL2Nat</a><br/>  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b4">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="b2">Z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<a href="binari_6.html#K10" title="BINARI_6:func.10">EqBL2Nat</a>,<font color="Olive" title="b4">z</font>) &amp; <font color="Olive" title="b4">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="euclid.html#K5" title="EUCLID:func.5">0*</a> <font color="Olive" title="b3">n</font> holds <br/>( <font color="Olive" title="b1">A</font> <a href="binari_6.html#K12" title="BINARI_6:func.12">+</a> <font color="Olive" title="b2">Z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">A</font> &amp; <font color="Olive" title="b2">Z</font> <a href="binari_6.html#K12" title="BINARI_6:func.12">+</a> <font color="Olive" title="b1">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">A</font> )</div></div>
