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<a NAME="E1:2_1_1"/>
 <a href="mod_2.html#K1" title="MOD_2:func.1">TrivialLMod</a> <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="vectsp_1.html#G1" title="VECTSP_1:aggr.1">ModuleStr</a>(# <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>,<a href="funct_5.html#K9" title="FUNCT_5:func.9">op2</a>,<a href="funct_5.html#K5" title="FUNCT_5:func.5">op0</a>,<span class="p1">(<span class="default"><a href="funct_3.html#K10" title="FUNCT_3:func.10">pr2</a> ( the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a>,<span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>)</span>)</span> #)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="mod_2.html#D1" onmouseover="rs('mod_2/D1')" onmouseout="rh()">MOD_2:def 1</a></span>;<br/>
<a NAME="E2:2_1_1"/><span class="kw">then </span>
 the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="mod_2.html#K1" title="MOD_2:func.1">TrivialLMod</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> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
 
;<br/>
<span class="kw">hence </span><a NAME="E3:2_1_1"/>
(  <a href="mod_2.html#K1" title="MOD_2:func.1">TrivialLMod</a> <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a> is  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>  &amp;  not  <a href="mod_2.html#K1" title="MOD_2:func.1">TrivialLMod</a> <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  &amp;  <a href="mod_2.html#K1" title="MOD_2:func.1">TrivialLMod</a> <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a> is  <a href="vectsp_1.html#V7" title="VECTSP_1:attr.7">strict</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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