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<b>set </b><font color="Maroon" title="c5">R</font> =  <a href="pcs_0.html#NK34" title="PCS_0:NK.34">pcs-general-power</a> <font color="Maroon" title="c4">D</font>;<br/>
<b>let </b><font color="Maroon" title="c6">p</font>, <font color="Maroon" title="c7">p'</font>, <font color="Maroon" title="c8">q</font>, <font color="Maroon" title="c9">q'</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="pcs_0.html#NK34" title="PCS_0:NK.34">pcs-general-power</a> <font color="Maroon" title="c4">D</font></span>)</span>; <i><font color="Red">:: according to </font></i><a class="ref" href="pcs_0.html#D22" target="_self" title="PCS_0:def.22">PCS_0:def 22</a><br/>

<b>assume </b><b>that </b><br/><a NAME="E1:216_1_1"/><i><font color="Green" title="E70">A1</font></i>: 
<font color="Maroon" title="c6">p</font> <a href="pcs_0.html#R1" title="PCS_0:pred.1">(--)</a> <font color="Maroon" title="c8">q</font>
 <b>and </b><br/><a NAME="E2:216_1_1"/><i><font color="Green" title="E71">A2</font></i>: 
<font color="Maroon" title="c7">p'</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Maroon" title="c6">p</font>
 <b>and </b><br/><a NAME="E3:216_1_1"/><i><font color="Green" title="E72">A3</font></i>: 
<font color="Maroon" title="c9">q'</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Maroon" title="c8">q</font>
 ;<br/>

<a NAME="E4:216_1_1"/>
( <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c7">p'</font>,<font color="Maroon" title="c6">p</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <span class="p1">(<span class="default"><a href="pcs_0.html#NK34" title="PCS_0:NK.34">pcs-general-power</a> <font color="Maroon" title="c4">D</font></span>)</span> &amp; <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c9">q'</font>,<font color="Maroon" title="c8">q</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <span class="p1">(<span class="default"><a href="pcs_0.html#NK34" title="PCS_0:NK.34">pcs-general-power</a> <font color="Maroon" title="c4">D</font></span>)</span> )
 
<b>by </b><i><a class="txt" href="pcs_0.html#E2:216_1_1"><i><font color="Green" title="E71">A2</font></i></a>, <a class="txt" href="pcs_0.html#E3:216_1_1"><i><font color="Green" title="E72">A3</font></i></a>, <a class="ref" href="orders_2.html#D9" title="ORDERS_2:def.9">ORDERS_2:def 9</a></i>;<br/>
<a NAME="E5:216_1_1"/><b>then </b><i><font color="Green" title="E73">A4</font></i>: 
( <font color="Maroon" title="c7">p'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="pcs_0.html#NK34" title="PCS_0:NK.34">pcs-general-power</a> <font color="Maroon" title="c4">D</font></span>)</span> &amp; <font color="Maroon" title="c9">q'</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="pcs_0.html#NK34" title="PCS_0:NK.34">pcs-general-power</a> <font color="Maroon" title="c4">D</font></span>)</span> )
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#T106" title="ZFMISC_1:th.106">ZFMISC_1:106</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="216_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c10">a</font>, <font color="Maroon" title="c11">b</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>assume </b><b>that </b><br/><a NAME="E1:216_1_1_1"/><i><font color="Green" title="E74">A5</font></i>: 
<font color="Maroon" title="c10">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c7">p'</font>
 <b>and </b><br/><a NAME="E2:216_1_1_1"/><i><font color="Green" title="E75">A6</font></i>: 
<font color="Maroon" title="c11">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c9">q'</font>
 ;<br/><b>reconsider </b><font color="Maroon" title="c12">a1</font> = <font color="Maroon" title="c10">a</font>, <font color="Maroon" title="c13">b1</font> = <font color="Maroon" title="c11">b</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c3">P</font> <b>by </b><i><a class="txt" href="pcs_0.html#E5:216_1_1"><i><font color="Green" title="E73">A4</font></i></a>, <a class="txt" href="pcs_0.html#E1:216_1_1_1"><i><font color="Green" title="E74">A5</font></i></a>, <a class="txt" href="pcs_0.html#E2:216_1_1_1"><i><font color="Green" title="E75">A6</font></i></a></i>;<br/><b>consider </b><font color="Maroon" title="c14">p1</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c3">P</font><b> such that </b><br/><a NAME="E5:216_1_1_1"/><i><font color="Green" title="E76">A7</font></i>: 
<font color="Maroon" title="c14">p1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c6">p</font>
 <b>and </b><br/><a NAME="E6:216_1_1_1"/><i><font color="Green" title="E77">A8</font></i>: 
<font color="Maroon" title="c12">a1</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Maroon" title="c14">p1</font>
 <b>by </b><i><a class="txt" href="pcs_0.html#E2:216_1_1"><i><font color="Green" title="E71">A2</font></i></a>, <a class="txt" href="pcs_0.html#E1:216_1_1_1"><i><font color="Green" title="E74">A5</font></i></a>, <a class="ref" href="pcs_0.html#T44" target="_self" title="PCS_0:th.44">Th44</a></i>;<br/><b>consider </b><font color="Maroon" title="c15">q1</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c3">P</font><b> such that </b><br/><a NAME="E8:216_1_1_1"/><i><font color="Green" title="E78">A9</font></i>: 
<font color="Maroon" title="c15">q1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c8">q</font>
 <b>and </b><br/><a NAME="E9:216_1_1_1"/><i><font color="Green" title="E79">A10</font></i>: 
<font color="Maroon" title="c13">b1</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Maroon" title="c15">q1</font>
 <b>by </b><i><a class="txt" href="pcs_0.html#E3:216_1_1"><i><font color="Green" title="E72">A3</font></i></a>, <a class="txt" href="pcs_0.html#E2:216_1_1_1"><i><font color="Green" title="E75">A6</font></i></a>, <a class="ref" href="pcs_0.html#T44" target="_self" title="PCS_0:th.44">Th44</a></i>;<br/><a NAME="E10:216_1_1_1"/>
<font color="Maroon" title="c14">p1</font> <a href="pcs_0.html#R1" title="PCS_0:pred.1">(--)</a> <font color="Maroon" title="c15">q1</font>
 <b>by </b><i><a class="txt" href="pcs_0.html#E1:216_1_1"><i><font color="Green" title="E70">A1</font></i></a>, <a class="txt" href="pcs_0.html#E5:216_1_1_1"><i><font color="Green" title="E76">A7</font></i></a>, <a class="txt" href="pcs_0.html#E8:216_1_1_1"><i><font color="Green" title="E78">A9</font></i></a>, <a class="ref" href="pcs_0.html#T46" target="_self" title="PCS_0:th.46">Th46</a></i>;<br/><a NAME="E11:216_1_1_1"/><b>then </b>
<font color="Maroon" title="c12">a1</font> <a href="pcs_0.html#R1" title="PCS_0:pred.1">(--)</a> <font color="Maroon" title="c13">b1</font>
 <b>by </b><i><a class="txt" href="pcs_0.html#E6:216_1_1_1"><i><font color="Green" title="E77">A8</font></i></a>, <a class="txt" href="pcs_0.html#E9:216_1_1_1"><i><font color="Green" title="E79">A10</font></i></a>, <a class="ref" href="pcs_0.html#D22" target="_self" title="PCS_0:def.22">Def22</a></i>;<br/><b>hence </b><a NAME="E12:216_1_1_1"/>
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c10">a</font>,<font color="Maroon" title="c11">b</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="pcs_0.html#U1" title="PCS_0:sel.1">ToleranceRel</a> of <font color="Maroon" title="c3">P</font>
 <b>by </b><i><a class="ref" href="pcs_0.html#D7" target="_self" title="PCS_0:def.7">Def7</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E7:216_1_1"/>
<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c7">p'</font>,<font color="Maroon" title="c9">q'</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="pcs_0.html#U1" title="PCS_0:sel.1">ToleranceRel</a> of <span class="p1">(<span class="default"><a href="pcs_0.html#NK34" title="PCS_0:NK.34">pcs-general-power</a> <font color="Maroon" title="c4">D</font></span>)</span>
 <b>by </b><i><a class="txt" href="pcs_0.html#E5:216_1_1"><i><font color="Green" title="E73">A4</font></i></a>, <a class="ref" href="pcs_0.html#D46" target="_self" title="PCS_0:def.46">Def46</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="pcs_0.html#D7" target="_self" title="PCS_0:def.7">PCS_0:def 7</a><br/>


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