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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E10">Def11</font></span>   defines <a href="c0sp1.html#K5" title="C0SP1:func.5">Mult_</a> <a onclick="hs(this)" href="javascript:()">C0SP1:def 11 : <br/></a><span> for <font color="Olive" title="b1">V</font> being   <a href="funcsdom.html#NM1" title="FUNCSDOM:NM.1">Algebra</a><br/>  for <font color="Olive" title="b2">V1</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">V</font>  st <font color="Olive" title="b2">V1</font> is  <a href="c0sp1.html#V4" title="C0SP1:attr.4">additively-linearly-closed</a>  &amp;  not <font color="Olive" title="b2">V1</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  holds <br/> <a href="c0sp1.html#K5" title="C0SP1:func.5">Mult_</a> (<font color="Olive" title="b2">V1</font>,<font color="Olive" title="b1">V</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">Mult</a> of <font color="Olive" title="b1">V</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>,<font color="Olive" title="b2">V1</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>;<br/></span></div>
