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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> be    <a href="pnproc_1.html#M1" title="PNPROC_1:mode.1">marking</a> of <font color="Maroon" title="c1">P</font>;<br/>







<b>assume </b><a NAME="E1:34"/><i><font color="Green" title="E25">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> &amp; <font color="Maroon" title="c3">m2</font> <a href="pnproc_1.html#R2" title="PNPROC_1:pred.2">c=</a> <font color="Maroon" title="c4">m3</font> )
 ;<br/>

<a NAME="E2:34"/><b>then </b><i><font color="Green" title="E26">A2</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="c4">m3</font>
 
<b>by </b><i><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="c5">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="E3:34"/><i><font color="Green" title="E27">A3</font></i>: 
<font color="Maroon" title="c5">p</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">P</font>
 ;<br/>

<a NAME="E4:34"/><b>then </b><i><font color="Green" title="E28">A4</font></i>: 
<font color="Maroon" title="c2">m1</font> <a href="pnproc_1.html#K2" title="PNPROC_1:func.2">.</a> <font color="Maroon" title="c5">p</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c3">m2</font> <a href="pnproc_1.html#K2" title="PNPROC_1:func.2">.</a> <font color="Maroon" title="c5">p</font>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E1:34"><i><font color="Green" title="E25">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="E5:34"/><i><font color="Green" title="E29">A5</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">m3</font> <a href="pnproc_1.html#K5" title="PNPROC_1:func.5">-</a> <font color="Maroon" title="c2">m1</font></span>)</span> <a href="pnproc_1.html#K2" title="PNPROC_1:func.2">.</a> <font color="Maroon" title="c5">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">m3</font> <a href="pnproc_1.html#K2" title="PNPROC_1:func.2">.</a> <font color="Maroon" title="c5">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="c2">m1</font> <a href="pnproc_1.html#K2" title="PNPROC_1:func.2">.</a> <font color="Maroon" title="c5">p</font></span>)</span>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E2:34"><i><font color="Green" title="E26">A2</font></i></a>, <a class="txt" href="pnproc_1.html#E3:34"><i><font color="Green" title="E27">A3</font></i></a>, <a class="ref" href="pnproc_1.html#D6" target="_self" title="PNPROC_1:def.6">Def6</a></i>;<br/>
<a NAME="E6:34"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c4">m3</font> <a href="pnproc_1.html#K5" title="PNPROC_1:func.5">-</a> <font color="Maroon" title="c3">m2</font></span>)</span> <a href="pnproc_1.html#K2" title="PNPROC_1:func.2">.</a> <font color="Maroon" title="c5">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">m3</font> <a href="pnproc_1.html#K2" title="PNPROC_1:func.2">.</a> <font color="Maroon" title="c5">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="c3">m2</font> <a href="pnproc_1.html#K2" title="PNPROC_1:func.2">.</a> <font color="Maroon" title="c5">p</font></span>)</span>
 
<b>by </b><i><a class="txt" href="pnproc_1.html#E1:34"><i><font color="Green" title="E25">A1</font></i></a>, <a class="txt" href="pnproc_1.html#E3:34"><i><font color="Green" title="E27">A3</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="E7:34"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c4">m3</font> <a href="pnproc_1.html#K5" title="PNPROC_1:func.5">-</a> <font color="Maroon" title="c3">m2</font></span>)</span> <a href="pnproc_1.html#K2" title="PNPROC_1:func.2">.</a> <font color="Maroon" title="c5">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="c4">m3</font> <a href="pnproc_1.html#K5" title="PNPROC_1:func.5">-</a> <font color="Maroon" title="c2">m1</font></span>)</span> <a href="pnproc_1.html#K2" title="PNPROC_1:func.2">.</a> <font color="Maroon" title="c5">p</font>
 <b>by </b><i><a class="txt" href="pnproc_1.html#E4:34"><i><font color="Green" title="E28">A4</font></i></a>, <a class="txt" href="pnproc_1.html#E5:34"><i><font color="Green" title="E29">A5</font></i></a>, <a class="ref" href="real_2.html#T106" title="REAL_2:th.106">REAL_2:106</a></i>;<br/>


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