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<b>let </b><font color="Maroon" title="c1">P</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c2">m1</font>, <font color="Maroon" title="c3">m2</font>, <font color="Maroon" title="c4">m3</font>, <font color="Maroon" title="c5">m4</font> be    <a href="pnproc_1.html#M2" title="PNPROC_1:mode.2">marking</a> of <font color="Maroon" title="c1">P</font>;<br/>









<b>assume </b><a NAME="E1:42"/><i><font color="Green" title="E30">A1</font></i>: 
<font color="Maroon" title="c2">m1</font> <a href="pnproc_1.html#R2" title="PNPROC_1:pred.2">c=</a> <font color="Maroon" title="c3">m2</font>
 ;<br/>

<b>assume </b><a NAME="E2:42"/><i><font color="Green" title="E31">A2</font></i>: 
<font color="Maroon" title="c4">m3</font> <a href="pnproc_1.html#R2" title="PNPROC_1:pred.2">c=</a> <font color="Maroon" title="c5">m4</font>
 ;<br/>

<b>assume </b><a NAME="E3:42"/><i><font color="Green" title="E32">A3</font></i>: 
<font color="Maroon" title="c5">m4</font> <a href="pnproc_1.html#R2" title="PNPROC_1:pred.2">c=</a> <font color="Maroon" title="c2">m1</font>
 ;<br/>

<a NAME="E4:42"/><b>then </b>
<font color="Maroon" title="c5">m4</font> <a href="pnproc_1.html#R2" title="PNPROC_1:pred.2">c=</a> <font color="Maroon" title="c3">m2</font>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E1:42"><i><font color="Green" title="E30">A1</font></i></a>, <a class="ref" href="pnproc_1.html#T14" target="_self" title="PNPROC_1:th.14">Th14</a></i>;<br/>
<a NAME="E5:42"/><b>then </b><i><font color="Green" title="E33">A4</font></i>: 
<font color="Maroon" title="c4">m3</font> <a href="pnproc_1.html#R2" title="PNPROC_1:pred.2">c=</a> <font color="Maroon" title="c3">m2</font>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E2:42"><i><font color="Green" title="E31">A2</font></i></a>, <a class="ref" href="pnproc_1.html#T14" target="_self" title="PNPROC_1:th.14">Th14</a></i>;<br/>
<b>let </b><font color="Maroon" title="c6">p</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="pnproc_1.html#D4" target="_self" title="PNPROC_1:def.4">PNPROC_1:def 4</a><br/>

<b>assume </b><a NAME="E6:42"/><i><font color="Green" title="E34">A5</font></i>: 
<font color="Maroon" title="c6">p</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">P</font>
 ;<br/>

<a NAME="E7:42"/><b>then </b><i><font color="Green" title="E35">A6</font></i>: 
<font color="Maroon" title="c2">m1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">p</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c3">m2</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">p</font>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E1:42"><i><font color="Green" title="E30">A1</font></i></a>, <a class="ref" href="pnproc_1.html#D4" target="_self" title="PNPROC_1:def.4">Def4</a></i>;<br/>
<a NAME="E8:42"/><i><font color="Green" title="E36">A7</font></i>: 
<font color="Maroon" title="c4">m3</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">p</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c5">m4</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">p</font>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E2:42"><i><font color="Green" title="E31">A2</font></i></a>, <a class="txt" href="pnproc_1.html#E6:42"><i><font color="Green" title="E34">A5</font></i></a>, <a class="ref" href="pnproc_1.html#D4" target="_self" title="PNPROC_1:def.4">Def4</a></i>;<br/>
<a NAME="E9:42"/><i><font color="Green" title="E37">A8</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">m2</font> <a href="pnproc_1.html#K3" title="PNPROC_1:func.3">-</a> <font color="Maroon" title="c4">m3</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">m2</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">p</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">m3</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">p</font></span>)</span>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E5:42"><i><font color="Green" title="E33">A4</font></i></a>, <a class="txt" href="pnproc_1.html#E6:42"><i><font color="Green" title="E34">A5</font></i></a>, <a class="ref" href="pnproc_1.html#D6" target="_self" title="PNPROC_1:def.6">Def6</a></i>;<br/>
<a NAME="E10:42"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c2">m1</font> <a href="pnproc_1.html#K3" title="PNPROC_1:func.3">-</a> <font color="Maroon" title="c5">m4</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">m1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">p</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">m4</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">p</font></span>)</span>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E3:42"><i><font color="Green" title="E32">A3</font></i></a>, <a class="txt" href="pnproc_1.html#E6:42"><i><font color="Green" title="E34">A5</font></i></a>, <a class="ref" href="pnproc_1.html#D6" target="_self" title="PNPROC_1:def.6">Def6</a></i>;<br/>
<b>hence </b><a NAME="E11:42"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c2">m1</font> <a href="pnproc_1.html#K3" title="PNPROC_1:func.3">-</a> <font color="Maroon" title="c5">m4</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">p</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">m2</font> <a href="pnproc_1.html#K3" title="PNPROC_1:func.3">-</a> <font color="Maroon" title="c4">m3</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">p</font>
 <b>by </b><i><a class="txt" href="pnproc_1.html#E7:42"><i><font color="Green" title="E35">A6</font></i></a>, <a class="txt" href="pnproc_1.html#E8:42"><i><font color="Green" title="E36">A7</font></i></a>, <a class="txt" href="pnproc_1.html#E9:42"><i><font color="Green" title="E37">A8</font></i></a>, <a class="ref" href="real_1.html#T92" title="REAL_1:th.92">REAL_1:92</a></i>;<br/>


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