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<span class="kw">consider </span><font color="Maroon" title="c1">X</font> being   <a href="finset_1.html#NV2" title="FINSET_1:NV.2">infinite</a>   <a href="freealg.html#V1" title="FREEALG:attr.1">disjoint_with_NAT</a>   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>
<span class="kw">take </span><font color="Maroon" title="c2">S</font> =  <a href="freealg.html#K7" title="FREEALG:func.7">FreeUnivAlgNSG</a> <a href="aofa_000.html#K19" title="AOFA_000:func.19">ECIW-signature</a> ,<font color="Maroon" title="c1">X</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">S</font> is  <a href="aofa_000.html#V9" title="AOFA_000:attr.9">infinite</a>  &amp; not <font color="Maroon" title="c2">S</font> is  <a href="aofa_000.html#V10" title="AOFA_000:attr.10">degenerated</a>  &amp; <font color="Maroon" title="c2">S</font> is  <a href="aofa_000.html#V11" title="AOFA_000:attr.11">well_founded</a>  &amp; <font color="Maroon" title="c2">S</font> is  <a href="aofa_000.html#V12" title="AOFA_000:attr.12">ECIW-strict</a>  &amp; <font color="Maroon" title="c2">S</font> is  <a href="freealg.html#V3" title="FREEALG:attr.3">free</a>  &amp; <font color="Maroon" title="c2">S</font> is  <a href="unialg_1.html#V3" title="UNIALG_1:attr.3">strict</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E2:122_1_1"/>
( <font color="Maroon" title="c2">S</font> is  <a href="aofa_000.html#V9" title="AOFA_000:attr.9">infinite</a>  &amp; not <font color="Maroon" title="c2">S</font> is  <a href="aofa_000.html#V10" title="AOFA_000:attr.10">degenerated</a>  &amp; <font color="Maroon" title="c2">S</font> is  <a href="aofa_000.html#V11" title="AOFA_000:attr.11">well_founded</a>  &amp; <font color="Maroon" title="c2">S</font> is  <a href="aofa_000.html#V12" title="AOFA_000:attr.12">ECIW-strict</a>  &amp; <font color="Maroon" title="c2">S</font> is  <a href="freealg.html#V3" title="FREEALG:attr.3">free</a>  &amp; <font color="Maroon" title="c2">S</font> is  <a href="unialg_1.html#V3" title="UNIALG_1:attr.3">strict</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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