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<span class="kw">consider </span><font color="Maroon" title="c4">m</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><span class="kw"> such that </span><br/><a NAME="E2:94_1_1"/><span class="lab"><font color="Green" title="E48">A1</font></span>: 
<font color="Maroon" title="c3">phi</font> is <font color="Maroon" title="c4">m</font> <a href="fomodel2.html#V3" title="FOMODEL2:attr.3">-wff</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="fomodel2.html#D25" target="_self" onmouseover="rs('fomodel2/D25')" onmouseout="rh()">Def24</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c5">phii</font> = <font color="Maroon" title="c3">phi</font> as  <font color="Maroon" title="c4">m</font> <a href="fomodel2.html#V3" title="FOMODEL2:attr.3">-wff</a>  <a href="fomodel1.html#NM3" title="FOMODEL1:NM.3">string</a> of <font color="Maroon" title="c1">S</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:94_1_1"><span class="lab"><font color="Green" title="E48">A1</font></span></a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c6">IT</font> = <span class="p1"><a href="fomodel1.html#K43" title="FOMODEL1:func.43">&lt;*</a><span class="default"><font color="Maroon" title="c2">l</font></span><a href="fomodel1.html#K43" title="FOMODEL1:func.43">*&gt;</a></span> <a href="fomodel1.html#K42" title="FOMODEL1:func.42">^</a> <font color="Maroon" title="c5">phii</font>;<br/>
<a NAME="E4:94_1_1"/>
<span class="p1"><a href="fomodel1.html#K43" title="FOMODEL1:func.43">&lt;*</a><span class="default"><font color="Maroon" title="c2">l</font></span><a href="fomodel1.html#K43" title="FOMODEL1:func.43">*&gt;</a></span> <a href="fomodel1.html#K42" title="FOMODEL1:func.42">^</a> <font color="Maroon" title="c5">phii</font> is <font color="Maroon" title="c4">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 <a href="fomodel2.html#V3" title="FOMODEL2:attr.3">-wff</a> 
 
;<br/>
<span class="kw">hence </span><a NAME="E5:94_1_1"/>
 for <font color="Olive">b<sub>1</sub></font> being   <a href="fomodel1.html#NM3" title="FOMODEL1:NM.3">string</a> of <font color="Maroon" title="c1">S</font>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="fomodel1.html#K43" title="FOMODEL1:func.43">&lt;*</a><span class="default"><font color="Maroon" title="c2">l</font></span><a href="fomodel1.html#K43" title="FOMODEL1:func.43">*&gt;</a></span> <a href="fomodel1.html#K42" title="FOMODEL1:func.42">^</a> <font color="Maroon" title="c3">phi</font> holds <br/><font color="Olive">b<sub>1</sub></font> is  <a href="fomodel2.html#V4" title="FOMODEL2:attr.4">wff</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"> verum</span><br/>


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