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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E1">Lm01</font></span>: <a NAME="T1"><span class="comment"><font color="firebrick">:: DUALSP01:1</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a> holds   <a href="vectsp_1.html#G1" title="VECTSP_1:aggr.1">ModuleStr</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">X</font>, the <a href="algstr_0.html#U1" title="ALGSTR_0:sel.1">addF</a> of <font color="Olive" title="b1">X</font>, the <a href="struct_0.html#U2" title="STRUCT_0:sel.2">ZeroF</a> of <font color="Olive" title="b1">X</font>,<span class="p1">(<span class="default"><a href="dualsp01.html#K1" title="DUALSP01:func.1">MultF_Real*</a> <font color="Olive" title="b1">X</font></span>)</span> #) is   <a href="vectsp_1.html#NM9" title="VECTSP_1:NM.9">VectSp</a> of  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a> </div></div>
