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<div><span class="kw">theorem </span><a NAME="T3"><span class="comment"><font color="firebrick">:: PARSP_1:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</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 <span class="p1"><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">[:</a><span class="default"> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">F</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">F</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">F</font></span><a href="zfmisc_1.html#K3" title="ZFMISC_1:func.3">:]</a></span> holds   <a href="parsp_1.html#K4" title="PARSP_1:func.4">-</a> <font color="Olive" title="b2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><span class="p2">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p3">(<span class="default"><font color="Olive" title="b2">x</font> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1_3</a></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p3">(<span class="default"><font color="Olive" title="b2">x</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2_3</a></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p3">(<span class="default"><font color="Olive" title="b2">x</font> <a href="mcart_1.html#K3" title="MCART_1:func.3">`3_3</a></span>)</span></span>)</span></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span> <span class="kw">by</span> <span class="lab"><a class="ref" href="parsp_1.html#D3" target="_self" onmouseover="rs('parsp_1/D3')" onmouseout="rh()">Def3</a></span>;<br/></div></div>
