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<span class="kw">set </span><font color="Maroon" title="c3">f</font> =  <a href="ring_3.html#K11" title="RING_3:func.11">canHom_Rat</a> <font color="Maroon" title="c2">F</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c4">c</font> =  <a href="ring_3.html#K5" title="RING_3:func.5">canHom_Int</a> <font color="Maroon" title="c2">F</font>;<br/>
<a NAME="E1:178_1_1"/><span class="lab"><font color="Green" title="E86">A1</font></span>: 
(  <a href="rat_1.html#K2" title="RAT_1:func.2">numerator</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp;  <a href="rat_1.html#K1" title="RAT_1:func.1">denominator</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="rat_1.html#T17" onmouseover="rs('rat_1/T17')" onmouseout="rh()">RAT_1:17</a></span>;<br/>
<a NAME="E2:178_1_1"/>
<span class="p1">(<span class="default"><a href="ring_3.html#K5" title="RING_3:func.5">canHom_Int</a> <font color="Maroon" title="c2">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c2">F</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="group_1.html#D13" onmouseover="rs('group_1/D13')" onmouseout="rh()">GROUP_1:def 13</a></span>;<br/>
<span class="kw">hence </span><span class="p1">(<span class="default"><a href="ring_3.html#K11" title="RING_3:func.11">canHom_Rat</a> <font color="Maroon" title="c2">F</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <a href="gaussint.html#K11" title="GAUSSINT:func.11">F_Rat</a></span>)</span> = 
<span class="p1">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <font color="Maroon" title="c2">F</font></span>)</span> <a href="quofield.html#K20" title="QUOFIELD:func.20">/</a> <span class="p1">(<span class="default"><a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <font color="Maroon" title="c2">F</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:178_1_1"><span class="lab"><font color="Green" title="E86">A1</font></span></a>, <a class="ref" href="ring_3.html#D11" target="_self" onmouseover="rs('ring_3/D11')" onmouseout="rh()">Def11</a></span>
<br/>.= 
 <a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c2">F</font>

;<br/> <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="group_1.html#D13" onmouseover="rs('group_1/D13')" onmouseout="rh()">GROUP_1:def 13</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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