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



<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="30_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c3">p</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>assume </b><a NAME="E1:30_1"/>
<font color="Maroon" title="c3">p</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">P</font>
 ;<br/><a NAME="E2:30_1"/><b>then </b>
<span class="p1">(<span class="default"><a href="pnproc_1.html#K3" title="PNPROC_1:func.3">{$}</a> <font color="Maroon" title="c1">P</font></span>)</span> <a href="pnproc_1.html#K2" title="PNPROC_1:func.2">.</a> <font color="Maroon" title="c3">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <b>by </b><i><a class="txt" href="pnproc_1.html#E22"><i><font color="Green" title="E19">Lm6</font></i></a></i>;<br/><b>hence </b><a NAME="E3:30_1"/>
<font color="Maroon" title="c2">m</font> <a href="pnproc_1.html#K2" title="PNPROC_1:func.2">.</a> <font color="Maroon" title="c3">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">m</font> <a href="pnproc_1.html#K2" title="PNPROC_1:func.2">.</a> <font color="Maroon" title="c3">p</font></span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="pnproc_1.html#K3" title="PNPROC_1:func.3">{$}</a> <font color="Maroon" title="c1">P</font></span>)</span> <a href="pnproc_1.html#K2" title="PNPROC_1:func.2">.</a> <font color="Maroon" title="c3">p</font></span>)</span>
 ;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:30"/>
<font color="Maroon" title="c2">m</font> <a href="pnproc_1.html#K4" title="PNPROC_1:func.4">+</a> <span class="p1">(<span class="default"><a href="pnproc_1.html#K3" title="PNPROC_1:func.3">{$}</a> <font color="Maroon" title="c1">P</font></span>)</span> <a href="pnproc_1.html#R1" title="PNPROC_1:pred.1">=</a> <font color="Maroon" title="c2">m</font>
 <b>by </b><i><a class="ref" href="pnproc_1.html#D5" target="_self" title="PNPROC_1:def.5">Def5</a></i>;<br/>


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