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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E80">DEF3</font></span>   defines <a href="absred_0.html#K5" title="ABSRED_0:func.5">TotalTRS</a> <a onclick="hs(this)" href="javascript:()">ABSRED_0:def 32 : <br/></a><span> for <font color="Olive" title="b1">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">x</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive">b<sub>3</sub></font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="unialg_1.html#V4" title="UNIALG_1:attr.4">non-empty</a>   <a href="absred_0.html#V14" title="ABSRED_0:attr.14">strict</a>   <a href="absred_0.html#L2" title="ABSRED_0:struct.2">TRSStr</a>  holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="absred_0.html#K5" title="ABSRED_0:func.5">TotalTRS</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">x</font>) iff (  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">X</font> &amp;  the <a href="unialg_1.html#U1" title="UNIALG_1:sel.1">charact</a> of <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">&lt;*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <font color="Olive" title="b1">X</font></span>)</span> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Olive" title="b2">x</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <font color="Olive" title="b1">X</font></span>)</span> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Olive" title="b2">x</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <font color="Olive" title="b1">X</font></span>)</span> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Olive" title="b2">x</font></span>)</span></span><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">*&gt;</a></span> &amp;  the <a href="absred_0.html#U1" title="ABSRED_0:sel.1">reduction</a> of <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="eqrel_1.html#K1" title="EQREL_1:func.1">nabla</a> <font color="Olive" title="b1">X</font> ) );<br/></span></div>
