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<b>let </b><font color="Maroon" title="c1">a</font>, <font color="Maroon" title="c2">b</font>, <font color="Maroon" title="c3">c</font>, <font color="Maroon" title="c4">d</font> be  <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ;<br/>

<b>given </b><font color="Maroon" title="c5">x</font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a><b> such that </b><a NAME="E2:6"/><i><font color="Green" title="E2">A1</font></i>: 
<font color="Maroon" title="c3">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">a</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c5">x</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="nat_d.html#D3" title="NAT_D:def.3">NAT_D:def 3</a><br/>

<b>given </b><font color="Maroon" title="c6">y</font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a><b> such that </b><a NAME="E4:6"/><i><font color="Green" title="E3">A2</font></i>: 
<font color="Maroon" title="c4">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">b</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c6">y</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="nat_d.html#D3" title="NAT_D:def.3">NAT_D:def 3</a><br/>

<b>take </b>
<font color="Maroon" title="c5">x</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c6">y</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="nat_d.html#D3" title="NAT_D:def.3">NAT_D:def 3</a><br/>

<b>thus </b><a NAME="E5:6"/>
<font color="Maroon" title="c3">c</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c4">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">a</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c2">b</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">x</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c6">y</font></span>)</span>
 <b>by </b><i><a class="txt" href="nat_3.html#E2:6"><i><font color="Green" title="E2">A1</font></i></a>, <a class="txt" href="nat_3.html#E4:6"><i><font color="Green" title="E3">A2</font></i></a></i>;<br/>


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