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<span class="kw">let </span><font color="Maroon" title="c1">S</font> be   <a href="fomodel1.html#NM2" title="FOMODEL1:NM.2">Language</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">phi</font> being   <a href="fomodel2.html#V4" title="FOMODEL2:attr.4">wff</a>  <a href="fomodel1.html#NM3" title="FOMODEL1:NM.3">string</a> of <font color="Maroon" title="c1">S</font> holds  <font color="Olive" title="b1">phi</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="fomodel2.html#K30" title="FOMODEL2:func.30">AllFormulasOf</a> <font color="Maroon" title="c1">S</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">phi</font> be   <a href="fomodel2.html#V4" title="FOMODEL2:attr.4">wff</a>  <a href="fomodel1.html#NM3" title="FOMODEL1:NM.3">string</a> of <font color="Maroon" title="c1">S</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="c2">phi</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="fomodel2.html#K30" title="FOMODEL2:func.30">AllFormulasOf</a> <font color="Maroon" title="c1">S</font></span><br/>



<span class="kw">set </span><font color="Maroon" title="c3">AF</font> =  <a href="fomodel2.html#K30" title="FOMODEL2:func.30">AllFormulasOf</a> <font color="Maroon" title="c1">S</font>;<br/>
<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="E2:136"/><span class="lab"><font color="Green" title="E60">A1</font></span>: 
<font color="Maroon" title="c2">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">thus </span><a NAME="E3:136"/>
<font color="Maroon" title="c2">phi</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="fomodel2.html#K30" title="FOMODEL2:func.30">AllFormulasOf</a> <font color="Maroon" title="c1">S</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:136"><span class="lab"><font color="Green" title="E60">A1</font></span></a></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/>


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