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<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="30_1_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:30_1_1_1"/>
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a>  or <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a>  or ( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  ) )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="30_1_1_1_1"><b>suppose </b></a><a NAME="E1:30_1_1_1_1"/><i><font color="Green">E22</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a>  or <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a>  )
 ;<br/><div class="add"><b>then reconsider </b><font color="Maroon">c<sub>3</sub></font> = <font color="Maroon">c<sub>1</sub></font> <a href="xboole_0.html#K2">\/</a> <font color="Maroon">c<sub>2</sub></font> as    <a href="subset_1.html#M1">Element</a> of  <a href="ordinal1.html#K5">omega</a>  <b>by </b><i><a class="ref" href="ordinal1.html#D13">ORDINAL1:def 13</a></i>;<br/><b>take </b>
<font color="Maroon">c<sub>3</sub></font>
;<br/><b>thus </b><a NAME="E3:30_1_1_1_1"/>
( <font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#R2" target="_self">divides</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#R2" target="_self">divides</a> <font color="Maroon">c<sub>2</sub></font> )
 <b>by </b><i><a class="txt" href="arytm_3.html#E1:30_1_1_1_1"><i><font color="Green">E22</font></i></a>, <a class="ref" href="arytm_3.html#T14" target="_self">Th14</a></i>;<br/><b>thus </b><a NAME="E4:30_1_1_1_1"/>
for <font color="Olive">b<sub>1</sub></font> being <a href="ordinal1.html#V7">natural</a> <a href="ordinal1.html#NM2">Ordinal</a> st <font color="Olive">b<sub>1</sub></font> <a href="arytm_3.html#R2" target="_self">divides</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="arytm_3.html#R2" target="_self">divides</a> <font color="Maroon">c<sub>2</sub></font> holds <br/><font color="Olive">b<sub>1</sub></font> <a href="arytm_3.html#R2" target="_self">divides</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="arytm_3.html#E1:30_1_1_1_1"><i><font color="Green">E22</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="30_1_1_1_2"><b>suppose </b></a><a NAME="E1:30_1_1_1_2"/><i><font color="Green">E22</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  )
 ;<br/><div class="add"><b>reconsider </b><font color="Maroon">c<sub>3</sub></font> = <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="ordinal3.html#K6">div^</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K4" target="_self">lcm</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> as    <a href="subset_1.html#M1">Element</a> of  <a href="ordinal1.html#K5">omega</a>  <b>by </b><i><a class="ref" href="ordinal1.html#D13">ORDINAL1:def 13</a></i>;<br/><b>take </b>
<font color="Maroon">c<sub>3</sub></font>
;<br/><b>thus </b><a NAME="E3:30_1_1_1_2"/>
( <font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#R2" target="_self">divides</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#R2" target="_self">divides</a> <font color="Maroon">c<sub>2</sub></font> )
 <b>by </b><i><a class="txt" href="arytm_3.html#E1:30_1_1_1_2"><i><font color="Green">E22</font></i></a>, <a class="ref" href="arytm_3.html#T18" target="_self">Th18</a></i>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be  <a href="ordinal1.html#V7">natural</a> <a href="ordinal1.html#NM2">Ordinal</a>;<br/><b>set </b><font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>;<br/><b>assume </b><a NAME="E4:30_1_1_1_2"/>
( <font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#R2" target="_self">divides</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#R2" target="_self">divides</a> <font color="Maroon">c<sub>2</sub></font> )
 ;<br/><a NAME="E5:30_1_1_1_2"/><b>then </b><i><font color="Green">E23</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> )
 <b>by </b><i><a class="ref" href="arytm_3.html#T11" target="_self">Th11</a></i>;<br/><a NAME="E6:30_1_1_1_2"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="ordinal3.html#T58">ORDINAL3:58</a></i>;<br/><a NAME="E7:30_1_1_1_2"/><b>then </b>
( <font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#R2" target="_self">divides</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="arytm_3.html#R2" target="_self">divides</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> )
 <b>by </b><i><a class="txt" href="arytm_3.html#E5:30_1_1_1_2"><i><font color="Green">E23</font></i></a>, <a class="ref" href="arytm_3.html#D3" target="_self">Def3</a></i>;<br/><a NAME="E8:30_1_1_1_2"/><b>then </b><i><font color="Green">E24</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K4" target="_self">lcm</a> <font color="Maroon">c<sub>2</sub></font> <a href="arytm_3.html#R2" target="_self">divides</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> )
 <b>by </b><i><a class="ref" href="arytm_3.html#D4" target="_self">Def4</a>, <a class="ref" href="ordinal3.html#T58">ORDINAL3:58</a></i>;<br/><a NAME="E9:30_1_1_1_2"/><b>then </b><i><font color="Green">E25</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K4" target="_self">lcm</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span> <a href="ordinal3.html#K6">div^</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K4" target="_self">lcm</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="arytm_3.html#T11" target="_self">Th11</a></i>;<br/><a NAME="E10:30_1_1_1_2"/><b>then </b><i><font color="Green">E26</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K4" target="_self">lcm</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span> <a href="ordinal3.html#K6">div^</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K4" target="_self">lcm</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="ordinal3.html#T58">ORDINAL3:58</a></i>;<br/><a NAME="E11:30_1_1_1_2"/><i><font color="Green">E27</font></i>: 
( <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  )
 <b>by </b><i><a class="txt" href="arytm_3.html#E1:30_1_1_1_2"><i><font color="Green">E22</font></i></a>, <a class="txt" href="arytm_3.html#E5:30_1_1_1_2"><i><font color="Green">E23</font></i></a>, <a class="ref" href="ordinal2.html#T52">ORDINAL2:52</a></i>;<br/><a NAME="E12:30_1_1_1_2"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 <b>by </b><i><a class="ref" href="ordinal3.html#T34">ORDINAL3:34</a></i>;<br/><a NAME="E13:30_1_1_1_2"/><b>then </b>
<font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 <b>by </b><i><a class="txt" href="arytm_3.html#E11:30_1_1_1_2"><i><font color="Green">E27</font></i></a>, <a class="ref" href="ordinal3.html#T34">ORDINAL3:34</a></i>;<br/><a NAME="E14:30_1_1_1_2"/><b>then </b>
<font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K4" target="_self">lcm</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 <b>by </b><i><a class="txt" href="arytm_3.html#E9:30_1_1_1_2"><i><font color="Green">E25</font></i></a>, <a class="ref" href="ordinal2.html#T52">ORDINAL2:52</a></i>;<br/><a NAME="E15:30_1_1_1_2"/><b>then </b>
( <font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K4" target="_self">lcm</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span> <a href="ordinal3.html#K6">div^</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K4" target="_self">lcm</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> &amp; <font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="arytm_3.html#K2" target="_self">+^</a> <a href="xboole_0.html#K1">{}</a>  &amp;  <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K4" target="_self">lcm</a> <font color="Maroon">c<sub>2</sub></font> )
 <b>by </b><i><a class="txt" href="arytm_3.html#E5:30_1_1_1_2"><i><font color="Green">E23</font></i></a>, <a class="txt" href="arytm_3.html#E8:30_1_1_1_2"><i><font color="Green">E24</font></i></a>, <a class="txt" href="arytm_3.html#E10:30_1_1_1_2"><i><font color="Green">E26</font></i></a>, <a class="ref" href="ordinal2.html#T44">ORDINAL2:44</a>, <a class="ref" href="ordinal3.html#T10">ORDINAL3:10</a>, <a class="ref" href="ordinal3.html#T58">ORDINAL3:58</a></i>;<br/><a NAME="E16:30_1_1_1_2"/><b>then </b>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="arytm_3.html#K3" target="_self">*^</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ordinal3.html#K6">div^</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span> <a href="ordinal3.html#K6">div^</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="arytm_3.html#K4" target="_self">lcm</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="ordinal3.html#T79">ORDINAL3:79</a></i>;<br/><b>hence </b><a NAME="E17:30_1_1_1_2"/>
<font color="Maroon">c<sub>4</sub></font> <a href="arytm_3.html#R2" target="_self">divides</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="arytm_3.html#D3" target="_self">Def3</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

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