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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E66">Th111</font></span>: <a NAME="T109"><span class="comment"><font color="firebrick">:: CLASSES5:109</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">U</font> being   <a href="classes2.html#NM1" title="CLASSES2:NM.1">Universe</a><br/>  for <font color="Olive" title="b2">K</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b3">o</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">U</font><br/>  for <font color="Olive" title="b4">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>  st  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">K</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">U</font> 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> (<font color="Olive" title="b2">K</font>,<font color="Olive" title="b3">o</font>,<font color="Olive" title="b4">n</font>)</span>)</span> is  <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">trivial</a>  &amp;  <a href="classes5.html#K25" title="CLASSES5:func.25">nMatrixFieldCat</a> (<font color="Olive" title="b2">K</font>,<font color="Olive" title="b3">o</font>,<font color="Olive" title="b4">n</font>) is  <font color="Olive">b<sub>1</sub></font> <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> (<font color="Olive" title="b2">K</font>,<font color="Olive" title="b3">o</font>,<font color="Olive" title="b4">n</font>) is  <font color="Olive">b<sub>1</sub></font> <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>
