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<a NAME="E1:40_1_1"/>
 <a href="altcat_1.html#G2">AltCatStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">C</font>,the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">C</font>,the <a href="altcat_1.html#U2">Comp</a> of <font color="Maroon">C</font> #) is    <a href="altcat_2.html#M1">SubCatStr</a> of <font color="Maroon">C</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="40_1_1_1"><b>proof </b></a><div class="add">

<b>thus </b><a NAME="E1:40_1_1_1"/>
the <a href="struct_0.html#U1">carrier</a> of <a href="altcat_1.html#G2">AltCatStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">C</font>,the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">C</font>,the <a href="altcat_1.html#U2">Comp</a> of <font color="Maroon">C</font> #) <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">C</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="altcat_2.html#D11">ALTCAT_2:def 11</a><br/>

<b>thus </b><a NAME="E2:40_1_1_1"/>
the <a href="altcat_1.html#U1">Arrows</a> of <a href="altcat_1.html#G2">AltCatStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">C</font>,the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">C</font>,the <a href="altcat_1.html#U2">Comp</a> of <font color="Maroon">C</font> #) <a href="altcat_2.html#R2">cc=</a> the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">C</font>
 ;<br/>

<b>thus </b><a NAME="E3:40_1_1_1"/>
the <a href="altcat_1.html#U2">Comp</a> of <a href="altcat_1.html#G2">AltCatStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">C</font>,the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">C</font>,the <a href="altcat_1.html#U2">Comp</a> of <font color="Maroon">C</font> #) <a href="altcat_2.html#R2">cc=</a> the <a href="altcat_1.html#U2">Comp</a> of <font color="Maroon">C</font>
 ;<br/>


</div><b>end;</b></div>
<b>then reconsider </b><font color="Maroon">D</font> =  <a href="altcat_1.html#G2">AltCatStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">C</font>,the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">C</font>,the <a href="altcat_1.html#U2">Comp</a> of <font color="Maroon">C</font> #) as    <a href="altcat_2.html#M1">SubCatStr</a> of <font color="Maroon">C</font> ;<br/>
<b>reconsider </b><font color="Maroon">D</font> = <font color="Maroon">D</font> as  non <a href="struct_0.html#V3">empty</a> <a href="altcat_2.html#V2">full</a> <a href="altcat_2.html#V3">id-inheriting</a>  <a href="altcat_2.html#M1">SubCatStr</a> of <font color="Maroon">C</font> <b>by </b><i>, </i>;<br/>
<b>take </b>
<font color="Maroon">D</font>
;<br/>

<b>thus </b><a NAME="E4:40_1_1"/>
( <font color="Maroon">D</font> is <a href="altcat_2.html#V2">full</a> &amp; not <font color="Maroon">D</font> is <a href="struct_0.html#V3">empty</a> &amp; <font color="Maroon">D</font> is <a href="altcat_1.html#V6">strict</a> )
 ;<br/>


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