<?xml version="1.0"?>
<div class="add">

<span class="kw">let </span><font color="Maroon" title="c4">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="valued_0.html#D9" title="VALUED_0:def.9">VALUED_0:def 9</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">proj1</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="nat_3.html#K4" title="NAT_3:func.4">*</a> <font color="Maroon" title="c2">b</font></span>)</span> or  not <span class="p1">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="nat_3.html#K4" title="NAT_3:func.4">*</a> <font color="Maroon" title="c2">b</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">x</font> is <a href="xreal_0.html#V1" title="XREAL_0:attr.1">V34</a>() )</span><br/>

<span class="kw">assume </span><a NAME="E1:26_1_1"/>
<font color="Maroon" title="c4">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"><font color="Maroon" title="c3">a</font> <a href="nat_3.html#K4" title="NAT_3:func.4">*</a> <font color="Maroon" title="c2">b</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="nat_3.html#K4" title="NAT_3:func.4">*</a> <font color="Maroon" title="c2">b</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">x</font> is <a href="xreal_0.html#V1" title="XREAL_0:attr.1">V34</a>()</span><br/>

<a NAME="E2:26_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="nat_3.html#K4" title="NAT_3:func.4">*</a> <font color="Maroon" title="c2">b</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">a</font> <a href="binop_2.html#K11" title="BINOP_2:func.11">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">b</font> <a href="seq_1.html#K1" title="SEQ_1:func.1">.</a> <font color="Maroon" title="c4">x</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="nat_3.html#D2" target="_self" title="NAT_3:def.2">Def2</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:26_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c3">a</font> <a href="nat_3.html#K4" title="NAT_3:func.4">*</a> <font color="Maroon" title="c2">b</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">x</font> is <a href="xreal_0.html#V1" title="XREAL_0:attr.1">V34</a>()
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
