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<span class="kw">consider </span><font color="Maroon" title="c3">m</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><span class="kw"> such that </span><br/><a NAME="E2:102_1_1"/><span class="lab"><font color="Green" title="E49">A1</font></span>: 
<font color="Maroon" title="c2">m1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">m</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1
 <span class="kw">by</span> <span class="lab"><a class="ref" href="nat_1.html#T6" onmouseover="rs('nat_1/T6')" onmouseout="rh()">NAT_1:6</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c4">phi</font> =  the  <font color="Maroon" title="c3">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>;<br/>
<span class="kw">set </span><font color="Maroon" title="c5">l</font> =  the   <a href="fomodel1.html#V4" title="FOMODEL1:attr.4">literal</a>  <a href="fomodel1.html#NM1" title="FOMODEL1:NM.1">Element</a> of <font color="Maroon" title="c1">S</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c6">psi</font> = <span class="p1"><a href="fomodel1.html#K43" title="FOMODEL1:func.43">&lt;*</a><span class="default"> the   <a href="fomodel1.html#V4" title="FOMODEL1:attr.4">literal</a>  <a href="fomodel1.html#NM1" title="FOMODEL1:NM.1">Element</a> of <font color="Maroon" title="c1">S</font></span><a href="fomodel1.html#K43" title="FOMODEL1:func.43">*&gt;</a></span> <a href="fomodel1.html#K42" title="FOMODEL1:func.42">^</a>  the  <font color="Maroon" title="c3">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>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c7">psii</font> = <span class="p1"><a href="fomodel1.html#K43" title="FOMODEL1:func.43">&lt;*</a><span class="default"> the   <a href="fomodel1.html#V4" title="FOMODEL1:attr.4">literal</a>  <a href="fomodel1.html#NM1" title="FOMODEL1:NM.1">Element</a> of <font color="Maroon" title="c1">S</font></span><a href="fomodel1.html#K43" title="FOMODEL1:func.43">*&gt;</a></span> <a href="fomodel1.html#K42" title="FOMODEL1:func.42">^</a>  the  <font color="Maroon" title="c3">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> as  <font color="Maroon" title="c2">m1</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="#E2:102_1_1"><span class="lab"><font color="Green" title="E49">A1</font></span></a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c7">psii</font>
; <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"> <font color="Maroon" title="c7">psii</font> is  <a href="fomodel2.html#V5" title="FOMODEL2:attr.5">exal</a> </span><br/>

<span class="kw">thus </span><a NAME="E4:102_1_1"/>
<font color="Maroon" title="c7">psii</font> is  <a href="fomodel2.html#V5" title="FOMODEL2:attr.5">exal</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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