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

<span class="kw">let </span><font color="Maroon" title="c2">R</font> be   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</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"> (  <a href="ring_3.html#K3" title="RING_3:func.3">Char</a> <font color="Maroon" title="c2">R</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  iff  <a href="ring_3.html#K5" title="RING_3:func.5">canHom_Int</a> <font color="Maroon" title="c2">R</font> is  <a href="mod_4.html#V3" title="MOD_4:attr.3">monomorphism</a>  )</span><br/>

<span class="kw">set </span><font color="Maroon" title="c3">f</font> =  <a href="ring_3.html#K5" title="RING_3:func.5">canHom_Int</a> <font color="Maroon" title="c2">R</font>;<br/>
<a NAME="E1:139"/>
(  <a href="ring_3.html#K5" title="RING_3:func.5">canHom_Int</a> <font color="Maroon" title="c2">R</font> is  <a href="mod_4.html#V3" title="MOD_4:attr.3">monomorphism</a>  iff  <a href="vectsp10.html#K8" title="VECTSP10:func.8">ker</a> <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">R</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ring_2.html#T12" onmouseover="rs('ring_2/T12')" onmouseout="rh()">RING_2:12</a></span>;<br/>
<a NAME="E2:139"/><span class="kw">then </span>
(  <a href="ring_3.html#K5" title="RING_3:func.5">canHom_Int</a> <font color="Maroon" title="c2">R</font> is  <a href="mod_4.html#V3" title="MOD_4:attr.3">monomorphism</a>  iff  <a href="vectsp10.html#K8" title="VECTSP10:func.8">ker</a> <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">R</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="ideal_1.html#K7" title="IDEAL_1:func.7">-Ideal</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="ideal_1.html#T47" onmouseover="rs('ideal_1/T47')" onmouseout="rh()">IDEAL_1:47</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:139"/>
(  <a href="ring_3.html#K3" title="RING_3:func.3">Char</a> <font color="Maroon" title="c2">R</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  iff  <a href="ring_3.html#K5" title="RING_3:func.5">canHom_Int</a> <font color="Maroon" title="c2">R</font> is  <a href="mod_4.html#V3" title="MOD_4:attr.3">monomorphism</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ring_3.html#T82" target="_self" onmouseover="rs('ring_3/T82')" onmouseout="rh()">Th81</a></span>; <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/>


</div>
