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<span class="kw">let </span><font color="Maroon" title="c1">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="gaussint.html#K8" title="GAUSSINT:func.8">G_RAT_SET</a>  implies <font color="Maroon" title="c1">x</font> is   <a href="gaussint.html#NM3" title="GAUSSINT:NM.3">G_RAT</a> )</span><br/>

<span class="kw">assume </span><a NAME="E1:49"/>
<font color="Maroon" title="c1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="gaussint.html#K8" title="GAUSSINT:func.8">G_RAT_SET</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">x</font> is   <a href="gaussint.html#NM3" title="GAUSSINT:NM.3">G_RAT</a></span><br/>

<a NAME="E2:49"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">z</font> being   <a href="gaussint.html#NM3" title="GAUSSINT:NM.3">G_RAT</a> st <font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">z</font>
 
;<br/>
<span class="kw">hence </span><a NAME="E3:49"/>
<font color="Maroon" title="c1">x</font> is   <a href="gaussint.html#V2" title="GAUSSINT:attr.2">g_rational</a>  <a href="xcmplx_0.html#NM1" title="XCMPLX_0:NM.1">Complex</a>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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