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<b>thus </b><a NAME="E1:23_1_1"/>
( <font color="Maroon" title="c2">m1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">m2</font> implies for <font color="Olive" title="b1">p</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">p</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">P</font> holds <br/><font color="Maroon" title="c2">m1</font> <a href="pnproc_1.html#K1" title="PNPROC_1:func.1">multitude_of</a> <font color="Olive" title="b1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">m2</font> <a href="pnproc_1.html#K1" title="PNPROC_1:func.1">multitude_of</a> <font color="Olive" title="b1">p</font> )
 ;<br/>

<a NAME="E2:23_1_1"/>
(  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <font color="Maroon" title="c2">m1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">P</font> &amp;  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <font color="Maroon" title="c3">m2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">P</font> )
 
<b>by </b><i><a class="ref" href="pnproc_1.html#D1" target="_self" title="PNPROC_1:def.1">Def1</a></i>;<br/>
<b>hence </b><a NAME="E3:23_1_1"/>
( ( for <font color="Olive" title="b1">p</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">p</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">P</font> holds <br/><font color="Maroon" title="c2">m1</font> <a href="pnproc_1.html#K1" title="PNPROC_1:func.1">multitude_of</a> <font color="Olive" title="b1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">m2</font> <a href="pnproc_1.html#K1" title="PNPROC_1:func.1">multitude_of</a> <font color="Olive" title="b1">p</font> ) implies <font color="Maroon" title="c2">m1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">m2</font> )
 <b>by </b><i><a class="ref" href="funct_1.html#T9" title="FUNCT_1:th.9">FUNCT_1:9</a></i>;<br/>


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