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<b>let </b><font color="Maroon">m</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">z1</font> be   <a href="binarith.html#NM1">Tuple</a> of <font color="Maroon">m</font>,<a href="margrel1.html#K6">BOOLEAN</a> , <font color="Maroon">z2</font> be   <a href="binarith.html#NM1">Tuple</a> of <font color="Maroon">m</font>,<a href="margrel1.html#K6">BOOLEAN</a> ;<br/><b>let </b><font color="Maroon">d1</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="margrel1.html#K6">BOOLEAN</a> ;<br/><b>let </b><font color="Maroon">d2</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="margrel1.html#K6">BOOLEAN</a> ;<br/>







<b>thus </b><span class="p1">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p2"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d1</font></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binari_2.html#K7" target="_self">-</a> <span class="p1">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p2"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d2</font></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p2"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d1</font></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p3"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d2</font></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p2"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d1</font></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z2</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p2"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d2</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p4">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z2</font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K8">+</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z2</font></span>)</span></span>)</span> <a href="binarith.html#K10">^</a> <span class="p1"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">d1</font> <a href="binarith.html#K2">'xor'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d2</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p5">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z2</font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <font color="Maroon">z1</font>,<span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z2</font></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span>
<b>by </b><i><a class="ref" href="binarith.html#T45">BINARITH:45</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K8">+</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z2</font></span>)</span></span>)</span> <a href="binarith.html#K10">^</a> <span class="p1"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="binarith.html#K2">'xor'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p4">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z2</font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <font color="Maroon">z1</font>,<span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z2</font></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span>
<b>by </b><i><a class="ref" href="binarith.html#T34">BINARITH:34</a></i>
;<br/>


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