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<span class="kw">take </span>
 <a href="absred_0.html#K5" title="ABSRED_0:func.5">TotalTRS</a> (<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>)</span>)</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"> (  <a href="absred_0.html#K5" title="ABSRED_0:func.5">TotalTRS</a> (<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>)</span>)</span>) is  <a href="absred_0.html#V14" title="ABSRED_0:attr.14">strict</a>  &amp;  <a href="absred_0.html#K5" title="ABSRED_0:func.5">TotalTRS</a> (<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>)</span>)</span>) is  <a href="unialg_1.html#V3" title="UNIALG_1:attr.3">quasi_total</a>  &amp;  <a href="absred_0.html#K5" title="ABSRED_0:func.5">TotalTRS</a> (<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>)</span>)</span>) is  <a href="unialg_1.html#V2" title="UNIALG_1:attr.2">partial</a>  &amp;  <a href="absred_0.html#K5" title="ABSRED_0:func.5">TotalTRS</a> (<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>)</span>)</span>) is  <a href="absred_0.html#V15" title="ABSRED_0:attr.15">Group-like</a>  &amp;  <a href="absred_0.html#K5" title="ABSRED_0:func.5">TotalTRS</a> (<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>)</span>)</span>) is  <a href="absred_0.html#V16" title="ABSRED_0:attr.16">invariant</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E1:179_1_1"/>
(  <a href="absred_0.html#K5" title="ABSRED_0:func.5">TotalTRS</a> (<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>)</span>)</span>) is  <a href="absred_0.html#V14" title="ABSRED_0:attr.14">strict</a>  &amp;  <a href="absred_0.html#K5" title="ABSRED_0:func.5">TotalTRS</a> (<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>)</span>)</span>) is  <a href="unialg_1.html#V3" title="UNIALG_1:attr.3">quasi_total</a>  &amp;  <a href="absred_0.html#K5" title="ABSRED_0:func.5">TotalTRS</a> (<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>)</span>)</span>) is  <a href="unialg_1.html#V2" title="UNIALG_1:attr.2">partial</a>  &amp;  <a href="absred_0.html#K5" title="ABSRED_0:func.5">TotalTRS</a> (<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>)</span>)</span>) is  <a href="absred_0.html#V15" title="ABSRED_0:attr.15">Group-like</a>  &amp;  <a href="absred_0.html#K5" title="ABSRED_0:func.5">TotalTRS</a> (<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<span class="p1">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>)</span>)</span>) is  <a href="absred_0.html#V16" title="ABSRED_0:attr.16">invariant</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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