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<span class="kw">let </span><font color="Maroon" title="c1">m</font> be   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">z1</font>, <font color="Olive" title="b2">z2</font> being   <a href="finseq_2.html#NM3" title="FINSEQ_2:NM.3">Tuple</a> of <font color="Maroon" title="c1">m</font>, <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> <br/>  for <font color="Olive" title="b3">d1</font>, <font color="Olive" title="b4">d2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a>  holds   <a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b3">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span> <a href="binarith.html#K7" title="BINARITH:func.7">+</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b4">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p4">(<span class="default"><font color="Olive" title="b1">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b3">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p4">(<span class="default"><font color="Olive" title="b2">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b4">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p2">(<span class="default"><a href="funcop_1.html#K16" title="FUNCOP_1:func.16">IFEQ</a> (<span class="p3">(<span class="default"><a href="binari_2.html#K4" title="BINARI_2:func.4">Int_add_ovfl</a> (<span class="p4">(<span class="default"><font color="Olive" title="b1">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b3">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>,<span class="p4">(<span class="default"><font color="Olive" title="b2">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b4">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>)</span>)</span>,<a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<span class="p3">(<span class="default">2 <a href="series_1.html#K5" title="SERIES_1:func.5">to_power</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="funcop_1.html#K16" title="FUNCOP_1:func.16">IFEQ</a> (<span class="p2">(<span class="default"><a href="binari_2.html#K5" title="BINARI_2:func.5">Int_add_udfl</a> (<span class="p3">(<span class="default"><font color="Olive" title="b1">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p4"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b3">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>,<span class="p3">(<span class="default"><font color="Olive" title="b2">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p4"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b4">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>)</span>)</span>,<a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<span class="p2">(<span class="default">2 <a href="series_1.html#K5" title="SERIES_1:func.5">to_power</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c2">z1</font>, <font color="Maroon" title="c3">z2</font> be   <a href="finseq_2.html#NM3" title="FINSEQ_2:NM.3">Tuple</a> of <font color="Maroon" title="c1">m</font>, <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">d1</font>, <font color="Olive" title="b2">d2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a>  holds   <a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b1">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span> <a href="binarith.html#K7" title="BINARITH:func.7">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b2">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p4">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b1">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p4">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b2">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p2">(<span class="default"><a href="funcop_1.html#K16" title="FUNCOP_1:func.16">IFEQ</a> (<span class="p3">(<span class="default"><a href="binari_2.html#K4" title="BINARI_2:func.4">Int_add_ovfl</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b1">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b2">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>)</span>)</span>,<a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<span class="p3">(<span class="default">2 <a href="series_1.html#K5" title="SERIES_1:func.5">to_power</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="funcop_1.html#K16" title="FUNCOP_1:func.16">IFEQ</a> (<span class="p2">(<span class="default"><a href="binari_2.html#K5" title="BINARI_2:func.5">Int_add_udfl</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p4"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b1">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p4"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Olive" title="b2">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>)</span>)</span>,<a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<span class="p2">(<span class="default">2 <a href="series_1.html#K5" title="SERIES_1:func.5">to_power</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c4">d1</font>, <font color="Maroon" title="c5">d2</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span> <a href="binarith.html#K7" title="BINARITH:func.7">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p4">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p4">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p2">(<span class="default"><a href="funcop_1.html#K16" title="FUNCOP_1:func.16">IFEQ</a> (<span class="p3">(<span class="default"><a href="binari_2.html#K4" title="BINARI_2:func.4">Int_add_ovfl</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>)</span>)</span>,<a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<span class="p3">(<span class="default">2 <a href="series_1.html#K5" title="SERIES_1:func.5">to_power</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="funcop_1.html#K16" title="FUNCOP_1:func.16">IFEQ</a> (<span class="p2">(<span class="default"><a href="binari_2.html#K5" title="BINARI_2:func.5">Int_add_udfl</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p4"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p4"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>)</span>)</span>,<a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<span class="p2">(<span class="default">2 <a href="series_1.html#K5" title="SERIES_1:func.5">to_power</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span></span><br/>







<span class="kw">set </span><font color="Maroon" title="c6">A</font> =  <a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span> <a href="binarith.html#K7" title="BINARITH:func.7">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c7">B</font> =  <a href="funcop_1.html#K16" title="FUNCOP_1:func.16">IFEQ</a> (<span class="p1">(<span class="default"><a href="binari_2.html#K4" title="BINARI_2:func.4">Int_add_ovfl</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>)</span>)</span>,<a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<span class="p1">(<span class="default">2 <a href="series_1.html#K5" title="SERIES_1:func.5">to_power</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>);<br/>
<span class="kw">set </span><font color="Maroon" title="c8">C</font> =  <a href="funcop_1.html#K16" title="FUNCOP_1:func.16">IFEQ</a> (<span class="p1">(<span class="default"><a href="binari_2.html#K5" title="BINARI_2:func.5">Int_add_udfl</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>)</span>)</span>,<a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<span class="p1">(<span class="default">2 <a href="series_1.html#K5" title="SERIES_1:func.5">to_power</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>);<br/>
<span class="kw">set </span><font color="Maroon" title="c9">D</font> = <span class="p1">(<span class="default"><a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span>;<br/>
<a NAME="E1:18"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span> <a href="binarith.html#K7" title="BINARITH:func.7">+</a> <span class="p4">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p2">(<span class="default"><a href="funcop_1.html#K16" title="FUNCOP_1:func.16">IFEQ</a> (<span class="p3">(<span class="default"><a href="binari_2.html#K4" title="BINARI_2:func.4">Int_add_ovfl</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>)</span>)</span>,<a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<span class="p3">(<span class="default">2 <a href="series_1.html#K5" title="SERIES_1:func.5">to_power</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><a href="funcop_1.html#K16" title="FUNCOP_1:func.16">IFEQ</a> (<span class="p2">(<span class="default"><a href="binari_2.html#K5" title="BINARI_2:func.5">Int_add_udfl</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p4"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p4"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>)</span>)</span>,<a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<span class="p2">(<span class="default">2 <a href="series_1.html#K5" title="SERIES_1:func.5">to_power</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="binari_2.html#T11" target="_self" onmouseover="rs('binari_2/T11')" onmouseout="rh()">Th11</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:18"/>
 <a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span> <a href="binarith.html#K7" title="BINARITH:func.7">+</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p3"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p4">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" title="BINARI_2:func.3">Intval</a> <span class="p4">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p2">(<span class="default"><a href="funcop_1.html#K16" title="FUNCOP_1:func.16">IFEQ</a> (<span class="p3">(<span class="default"><a href="binari_2.html#K4" title="BINARI_2:func.4">Int_add_ovfl</a> (<span class="p4">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p5"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>)</span>)</span>,<a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<span class="p3">(<span class="default">2 <a href="series_1.html#K5" title="SERIES_1:func.5">to_power</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="funcop_1.html#K16" title="FUNCOP_1:func.16">IFEQ</a> (<span class="p2">(<span class="default"><a href="binari_2.html#K5" title="BINARI_2:func.5">Int_add_udfl</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p4"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c4">d1</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">z2</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p4"><a href="binarith.html#K10" title="BINARITH:func.10">&lt;*</a><span class="default"><font color="Maroon" title="c5">d2</font></span><a href="binarith.html#K10" title="BINARITH:func.10">*&gt;</a></span></span>)</span>)</span>)</span>,<a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<span class="p2">(<span class="default">2 <a href="series_1.html#K5" title="SERIES_1:func.5">to_power</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
