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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be    <a href="abcmiz_0.html#L2" target="_self">TA-structure</a> ;<br/>

<b>assume </b><a NAME="E1:35"/><i><font color="Green">E17</font></i>: 
 <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>1</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>1</sub></font>,the <a href="abcmiz_0.html#U3" target="_self">adj-map</a> of <font color="Maroon">c<sub>1</sub></font> #) <a href="hidden.html#R1">=</a>  <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>2</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>2</sub></font>,the <a href="abcmiz_0.html#U2" target="_self">non-op</a> of <font color="Maroon">c<sub>2</sub></font>,the <a href="abcmiz_0.html#U3" target="_self">adj-map</a> of <font color="Maroon">c<sub>2</sub></font> #)
 ;<br/>

<b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="abcmiz_0.html#NM2">adjective</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="abcmiz_0.html#NM2">adjective</a> of <font color="Maroon">c<sub>2</sub></font>;<br/>



<b>assume </b><a NAME="E2:35"/><i><font color="Green">E18</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="35_1"><b>now </b></a><div class="add"><b>thus </b><a NAME="E1:35_1"/>
 <a href="abcmiz_0.html#K3" target="_self">types</a> <font color="Maroon">c<sub>3</sub></font> is   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="abcmiz_0.html#E1:35"><i><font color="Green">E17</font></i></a></i>;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:35_1_1"/>
<font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a>  <a href="abcmiz_0.html#K3" target="_self">types</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/><b>then consider </b><font color="Maroon">c<sub>6</sub></font> being   <a href="abcmiz_0.html#NM1">type</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E3:35_1_1"/><i><font color="Green">E19</font></i>: 
( <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>6</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a>  <a href="abcmiz_0.html#K2" target="_self">adjs</a> <font color="Maroon">c<sub>6</sub></font> )
 <b>by </b><i><a class="ref" href="abcmiz_0.html#D12" target="_self">Def12</a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>7</sub></font> = <font color="Maroon">c<sub>6</sub></font> as   <a href="abcmiz_0.html#NM1">type</a> of <font color="Maroon">c<sub>2</sub></font> <b>by </b><i><a class="txt" href="abcmiz_0.html#E1:35"><i><font color="Green">E17</font></i></a></i>;<br/><a NAME="E5:35_1_1"/>
 <a href="abcmiz_0.html#K2" target="_self">adjs</a> <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="abcmiz_0.html#K2" target="_self">adjs</a> <font color="Maroon">c<sub>7</sub></font>
 <b>by </b><i><a class="txt" href="abcmiz_0.html#E1:35"><i><font color="Green">E17</font></i></a></i>;<br/><b>hence </b><a NAME="E6:35_1_1"/>
ex <font color="Olive">b<sub>1</sub></font> being  <a href="abcmiz_0.html#NM1">type</a> of <font color="Maroon">c<sub>2</sub></font> st <br/>( <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="abcmiz_0.html#K2" target="_self">adjs</a> <font color="Olive">b<sub>1</sub></font> )
 <b>by </b><i><a class="txt" href="abcmiz_0.html#E2:35"><i><font color="Green">E18</font></i></a>, <a class="txt" href="abcmiz_0.html#E3:35_1_1"><i><font color="Green">E19</font></i></a></i>;<br/></div>
<b>end;</b></div><b>given </b><font color="Maroon">c<sub>6</sub></font> being   <a href="abcmiz_0.html#NM1">type</a> of <font color="Maroon">c<sub>2</sub></font><b> such that </b><a NAME="E3:35_1"/><i><font color="Green">E19</font></i>: 
( <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>6</sub></font> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R2">in</a>  <a href="abcmiz_0.html#K2" target="_self">adjs</a> <font color="Maroon">c<sub>6</sub></font> )
 ;<br/><b>reconsider </b><font color="Maroon">c<sub>7</sub></font> = <font color="Maroon">c<sub>6</sub></font> as   <a href="abcmiz_0.html#NM1">type</a> of <font color="Maroon">c<sub>1</sub></font> <b>by </b><i><a class="txt" href="abcmiz_0.html#E1:35"><i><font color="Green">E17</font></i></a></i>;<br/><a NAME="E5:35_1"/>
 <a href="abcmiz_0.html#K2" target="_self">adjs</a> <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a>  <a href="abcmiz_0.html#K2" target="_self">adjs</a> <font color="Maroon">c<sub>6</sub></font>
 <b>by </b><i><a class="txt" href="abcmiz_0.html#E1:35"><i><font color="Green">E17</font></i></a></i>;<br/><b>hence </b><a NAME="E6:35_1"/>
<font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a>  <a href="abcmiz_0.html#K3" target="_self">types</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="abcmiz_0.html#E2:35"><i><font color="Green">E18</font></i></a>, <a class="txt" href="abcmiz_0.html#E3:35_1"><i><font color="Green">E19</font></i></a>, <a class="ref" href="abcmiz_0.html#D12" target="_self">Def12</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:35"/>
 <a href="abcmiz_0.html#K3" target="_self">types</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="abcmiz_0.html#K3" target="_self">types</a> <font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="ref" href="abcmiz_0.html#D12" target="_self">Def12</a></i>;<br/>


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