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<div><span class="kw">theorem </span><a NAME="T110"><span class="comment"><font color="firebrick">:: CLASSES5:110</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">o</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="classes2.html#K13" title="CLASSES2:func.13">FinSETS</a> <br/>  for <font color="Olive" title="b2">n</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> (  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="classes5.html#K25" title="CLASSES5:func.25">nMatrixFieldCat</a> (<a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>,<font color="Olive" title="b1">o</font>,<font color="Olive" title="b2">n</font>)</span>)</span> is  <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">trivial</a>  &amp;  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="classes5.html#K25" title="CLASSES5:func.25">nMatrixFieldCat</a> (<a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>,<font color="Olive" title="b1">o</font>,<font color="Olive" title="b2">n</font>)</span>)</span> is  <a href="classes2.html#K13" title="CLASSES2:func.13">FinSETS</a>  <a href="classes5.html#V2" title="CLASSES5:attr.2">-set</a>  &amp;  <a href="classes5.html#K25" title="CLASSES5:func.25">nMatrixFieldCat</a> (<a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>,<font color="Olive" title="b1">o</font>,<font color="Olive" title="b2">n</font>) is  not   <a href="classes2.html#K13" title="CLASSES2:func.13">FinSETS</a>  <a href="classes5.html#NV14" title="CLASSES5:NV.14">-small</a>  <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a> &amp;  <a href="classes5.html#K25" title="CLASSES5:func.25">nMatrixFieldCat</a> (<a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>,<font color="Olive" title="b1">o</font>,<font color="Olive" title="b2">n</font>) is  not   <a href="classes2.html#K13" title="CLASSES2:func.13">FinSETS</a>  <a href="classes5.html#V14" title="CLASSES5:attr.14">-locally_small</a>  <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a> &amp;  <a href="classes5.html#K25" title="CLASSES5:func.25">nMatrixFieldCat</a> (<a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>,<font color="Olive" title="b1">o</font>,<font color="Olive" title="b2">n</font>) is   <a href="classes2.html#K14" title="CLASSES2:func.14">SETS</a>  <a href="classes5.html#NV14" title="CLASSES5:NV.14">-small</a>  <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a> &amp;  <a href="classes5.html#K25" title="CLASSES5:func.25">nMatrixFieldCat</a> (<a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>,<font color="Olive" title="b1">o</font>,<font color="Olive" title="b2">n</font>) is   <a href="classes2.html#K14" title="CLASSES2:func.14">SETS</a>  <a href="classes5.html#V14" title="CLASSES5:attr.14">-locally_small</a>  <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a> )</div></div>
