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<b>let </b><font color="Maroon">S</font> be    <a href="catalg_1.html#M1" target="_self">CatSignature</a> of <font color="Maroon">A</font>;<br/>

<b>consider </b><font color="Maroon">s</font> being   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="catalg_1.html#K2" target="_self">CatSign</a> <font color="Maroon">A</font></span>)</span>;<br/>
<a NAME="E2:33_1_1"/>
 <a href="catalg_1.html#K2" target="_self">CatSign</a> <font color="Maroon">A</font> is    <a href="instalg1.html#M1">Subsignature</a> of <font color="Maroon">S</font>
 
<b>by </b><i/>;<br/>
<a NAME="E3:33_1_1"/><b>then </b>
( <font color="Maroon">s</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="catalg_1.html#K2" target="_self">CatSign</a> <font color="Maroon">A</font></span>)</span> &amp; the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="catalg_1.html#K2" target="_self">CatSign</a> <font color="Maroon">A</font></span>)</span> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font> )
 
<b>by </b><i><a class="ref" href="instalg1.html#T11">INSTALG1:11</a></i>;<br/>
<b>hence </b><a NAME="E4:33_1_1"/>
not the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font> is <a href="xboole_0.html#V1">empty</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="struct_0.html#D1">STRUCT_0:def 1</a><br/>


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