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<b>consider </b><font color="Maroon">c<sub>1</sub></font> being  non <a href="struct_0.html#V3">empty</a> <a href="realset2.html#V3">trivial</a> <a href="orders_2.html#V2">reflexive</a>  <a href="orders_2.html#L1">RelStr</a> , <font color="Maroon">c<sub>2</sub></font> being  non <a href="abcmiz_0.html#V4" target="_self">void</a> <a href="abcmiz_0.html#V5" target="_self">involutive</a> <a href="abcmiz_0.html#V6" target="_self">without_fixpoints</a>  <a href="abcmiz_0.html#L1" target="_self">AdjectiveStr</a> , <font color="Maroon">c<sub>3</sub></font> being   <a href="funct_2.html#NM1">Function</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font>, <a href="finsub_1.html#K5">Fin</a> the <a href="abcmiz_0.html#U1" target="_self">adjectives</a> of <font color="Maroon">c<sub>2</sub></font>;<br/>
<b>take </b><font color="Maroon">c<sub>4</sub></font> =  <a href="abcmiz_0.html#G2" target="_self">TA-structure</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font>,the <a href="abcmiz_0.html#U1" target="_self">adjectives</a> of <font color="Maroon">c<sub>2</sub></font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">c<sub>1</sub></font>,the <a href="abcmiz_0.html#U2" target="_self">non-op</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> #);<br/>

<b>thus </b><a NAME="E2:25_1_1"/>
<font color="Maroon">c<sub>4</sub></font> is <a href="realset2.html#V3">trivial</a>
 <b>by </b><i><a class="ref" href="tex_2.html#T4">TEX_2:4</a></i>;<br/>

<a NAME="E3:25_1_1"/>
 <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">c<sub>1</sub></font> #) <a href="hidden.html#R1">=</a>  <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>4</sub></font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">c<sub>4</sub></font> #)
 
;<br/>
<b>hence </b><a NAME="E4:25_1_1"/>
<font color="Maroon">c<sub>4</sub></font> is <a href="orders_2.html#V2">reflexive</a>
 <b>by </b><i><a class="ref" href="waybel_8.html#T12">WAYBEL_8:12</a></i>;<br/>

<b>thus </b><a NAME="E5:25_1_1"/>
( not <font color="Maroon">c<sub>4</sub></font> is <a href="struct_0.html#V3">empty</a> &amp; not <font color="Maroon">c<sub>4</sub></font> is <a href="abcmiz_0.html#V4" target="_self">void</a> )
 ;<br/>

<a NAME="E6:25_1_1"/>
 <a href="abcmiz_0.html#G1" target="_self">AdjectiveStr</a>(# the <a href="abcmiz_0.html#U1" target="_self">adjectives</a> of <font color="Maroon">c<sub>2</sub></font>,the <a href="abcmiz_0.html#U2" target="_self">non-op</a> of <font color="Maroon">c<sub>2</sub></font> #) <a href="hidden.html#R1">=</a>  <a href="abcmiz_0.html#G1" target="_self">AdjectiveStr</a>(# the <a href="abcmiz_0.html#U1" target="_self">adjectives</a> of <font color="Maroon">c<sub>4</sub></font>,the <a href="abcmiz_0.html#U2" target="_self">non-op</a> of <font color="Maroon">c<sub>4</sub></font> #)
 
;<br/>
<b>hence </b><a NAME="E7:25_1_1"/>
( <font color="Maroon">c<sub>4</sub></font> is <a href="abcmiz_0.html#V5" target="_self">involutive</a> &amp; <font color="Maroon">c<sub>4</sub></font> is <a href="abcmiz_0.html#V6" target="_self">without_fixpoints</a> )
 <b>by </b><i><a class="ref" href="abcmiz_0.html#T5" target="_self">Th5</a>, <a class="ref" href="abcmiz_0.html#T6" target="_self">Th6</a></i>;<br/>

<b>thus </b><a NAME="E8:25_1_1"/>
<font color="Maroon">c<sub>4</sub></font> is <a href="abcmiz_0.html#V7" target="_self">strict</a>
 ;<br/>


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