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<b>set </b><font color="Maroon" title="c4">f</font> =  <a href="nat_3.html#K6" title="NAT_3:func.6">max</a> <font color="Maroon" title="c2">b1</font>,<font color="Maroon" title="c3">b2</font>;<br/>
<b>let </b><font color="Maroon" title="c5">x</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="valued_0.html#D12" title="VALUED_0:def.12">VALUED_0:def 12</a><br/>

<b>assume </b><a NAME="E1:39_1_1"/>
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><a href="nat_3.html#K6" title="NAT_3:func.6">max</a> <font color="Maroon" title="c2">b1</font>,<font color="Maroon" title="c3">b2</font></span>)</span>
 ;<br/>

<a NAME="E2:39_1_1"/>
( <font color="Maroon" title="c2">b1</font> <a href="seq_1.html#K1" title="SEQ_1:func.1">.</a> <font color="Maroon" title="c5">x</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c3">b2</font> <a href="seq_1.html#K1" title="SEQ_1:func.1">.</a> <font color="Maroon" title="c5">x</font> or <font color="Maroon" title="c2">b1</font> <a href="seq_1.html#K1" title="SEQ_1:func.1">.</a> <font color="Maroon" title="c5">x</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c3">b2</font> <a href="seq_1.html#K1" title="SEQ_1:func.1">.</a> <font color="Maroon" title="c5">x</font> )
 
;<br/>
<b>hence </b><a NAME="E3:39_1_1"/>
<span class="p1">(<span class="default"><a href="nat_3.html#K6" title="NAT_3:func.6">max</a> <font color="Maroon" title="c2">b1</font>,<font color="Maroon" title="c3">b2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> is <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>
 <b>by </b><i><a class="ref" href="nat_3.html#D4" target="_self" title="NAT_3:def.4">Def4</a></i>;<br/>


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