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<div><span class="kw">theorem </span><a NAME="T7"><span class="comment"><font color="firebrick">:: VECTMETR:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>   <a href="metric_1.html#V9" title="METRIC_1:attr.9">triangle</a>   <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>   <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>   <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>   <a href="vectmetr.html#V6" title="VECTMETR:attr.6">translatible</a>   <a href="vectmetr.html#L1" title="VECTMETR:struct.1">RLSMetrStruct</a> <br/>  for <font color="Olive" title="b2">v</font>, <font color="Olive" title="b3">w</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">V</font> holds   <a href="vectmetr.html#K3" title="VECTMETR:func.3">Norm</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">v</font> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <font color="Olive" title="b3">w</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="vectmetr.html#K3" title="VECTMETR:func.3">Norm</a> <font color="Olive" title="b2">v</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><a href="vectmetr.html#K3" title="VECTMETR:func.3">Norm</a> <font color="Olive" title="b3">w</font></span>)</span></div></div>
