<?xml version="1.0"?>
<div class="add">

<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>set </b><font color="Maroon">A</font> =  <a href="binari_2.html#K4" target="_self">Intval</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p3"><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="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>;<br/>
<b>set </b><font color="Maroon">B</font> =  <a href="cqc_lang.html#K2">IFEQ</a> <span class="p1">(<span class="default"><a href="binari_2.html#K5" target="_self">Int_add_ovfl</a> <span class="p2">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p3"><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>,<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>,<a href="margrel1.html#K7">FALSE</a> ,0,<span class="p1">(<span class="default">2 <a href="series_1.html#K3">to_power</a> <span class="p2">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">C</font> =  <a href="cqc_lang.html#K2">IFEQ</a> <span class="p1">(<span class="default"><a href="binari_2.html#K6" target="_self">Int_add_udfl</a> <span class="p2">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p3"><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>,<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>,<a href="margrel1.html#K7">FALSE</a> ,0,<span class="p1">(<span class="default">2 <a href="series_1.html#K3">to_power</a> <span class="p2">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">D</font> = <span class="p1">(<span class="default"><a href="binari_2.html#K4" target="_self">Intval</a> <span class="p2">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p3"><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></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K4" target="_self">Intval</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>;<br/>
<a NAME="E1:19"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binari_2.html#K4" target="_self">Intval</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p5"><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="p4">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p5"><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></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p2">(<span class="default"><a href="cqc_lang.html#K2">IFEQ</a> <span class="p3">(<span class="default"><a href="binari_2.html#K5" target="_self">Int_add_ovfl</a> <span class="p4">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p5"><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>,<span class="p4">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p5"><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>,<a href="margrel1.html#K7">FALSE</a> ,0,<span class="p3">(<span class="default">2 <a href="series_1.html#K3">to_power</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K2">IFEQ</a> <span class="p2">(<span class="default"><a href="binari_2.html#K6" target="_self">Int_add_udfl</a> <span class="p3">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p4"><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>,<span class="p3">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p4"><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>,<a href="margrel1.html#K7">FALSE</a> ,0,<span class="p2">(<span class="default">2 <a href="series_1.html#K3">to_power</a> <span class="p3">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="binari_2.html#K4" target="_self">Intval</a> <span class="p2">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p3"><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></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K4" target="_self">Intval</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/>
<a NAME="E2:19"/><b>then </b><i><font color="Green">E42</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binari_2.html#K4" target="_self">Intval</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p5"><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="p4">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p5"><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></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cqc_lang.html#K2">IFEQ</a> <span class="p4">(<span class="default"><a href="binari_2.html#K5" target="_self">Int_add_ovfl</a> <span class="p5">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p0"><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>,<span class="p5">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p0"><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>,<a href="margrel1.html#K7">FALSE</a> ,0,<span class="p4">(<span class="default">2 <a href="series_1.html#K3">to_power</a> <span class="p5">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p3">(<span class="default"><a href="cqc_lang.html#K2">IFEQ</a> <span class="p4">(<span class="default"><a href="binari_2.html#K6" target="_self">Int_add_udfl</a> <span class="p5">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p0"><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>,<span class="p5">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p0"><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>,<a href="margrel1.html#K7">FALSE</a> ,0,<span class="p4">(<span class="default">2 <a href="series_1.html#K3">to_power</a> <span class="p5">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K2">IFEQ</a> <span class="p3">(<span class="default"><a href="binari_2.html#K5" target="_self">Int_add_ovfl</a> <span class="p4">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p5"><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>,<span class="p4">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p5"><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>,<a href="margrel1.html#K7">FALSE</a> ,0,<span class="p3">(<span class="default">2 <a href="series_1.html#K3">to_power</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p2">(<span class="default"><a href="cqc_lang.html#K2">IFEQ</a> <span class="p3">(<span class="default"><a href="binari_2.html#K6" target="_self">Int_add_udfl</a> <span class="p4">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p5"><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>,<span class="p4">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p5"><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>,<a href="margrel1.html#K7">FALSE</a> ,0,<span class="p3">(<span class="default">2 <a href="series_1.html#K3">to_power</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binari_2.html#K4" target="_self">Intval</a> <span class="p3">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p4"><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></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p2">(<span class="default"><a href="binari_2.html#K4" target="_self">Intval</a> <span class="p3">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p4"><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></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K2">IFEQ</a> <span class="p3">(<span class="default"><a href="binari_2.html#K5" target="_self">Int_add_ovfl</a> <span class="p4">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p5"><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>,<span class="p4">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p5"><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>,<a href="margrel1.html#K7">FALSE</a> ,0,<span class="p3">(<span class="default">2 <a href="series_1.html#K3">to_power</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p2">(<span class="default"><a href="cqc_lang.html#K2">IFEQ</a> <span class="p3">(<span class="default"><a href="binari_2.html#K6" target="_self">Int_add_udfl</a> <span class="p4">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p5"><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>,<span class="p4">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p5"><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>,<a href="margrel1.html#K7">FALSE</a> ,0,<span class="p3">(<span class="default">2 <a href="series_1.html#K3">to_power</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
 
;<br/>
<b>thus </b><a NAME="E3:19"/>
 <a href="binari_2.html#K4" target="_self">Intval</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p3"><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="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> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binari_2.html#K4" target="_self">Intval</a> <span class="p4">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p5"><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></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p3">(<span class="default"><a href="binari_2.html#K4" target="_self">Intval</a> <span class="p4">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p5"><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></span>)</span> <a href="xcmplx_0.html#K6">-</a> <span class="p2">(<span class="default"><a href="cqc_lang.html#K2">IFEQ</a> <span class="p3">(<span class="default"><a href="binari_2.html#K5" target="_self">Int_add_ovfl</a> <span class="p4">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p5"><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>,<span class="p4">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p5"><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>,<a href="margrel1.html#K7">FALSE</a> ,0,<span class="p3">(<span class="default">2 <a href="series_1.html#K3">to_power</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="cqc_lang.html#K2">IFEQ</a> <span class="p2">(<span class="default"><a href="binari_2.html#K6" target="_self">Int_add_udfl</a> <span class="p3">(<span class="default"><font color="Maroon">z1</font> <a href="binarith.html#K10">^</a> <span class="p4"><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>,<span class="p3">(<span class="default"><font color="Maroon">z2</font> <a href="binarith.html#K10">^</a> <span class="p4"><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>,<a href="margrel1.html#K7">FALSE</a> ,0,<span class="p2">(<span class="default">2 <a href="series_1.html#K3">to_power</a> <span class="p3">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span>
 <b>by </b><i/>;<br/>


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