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<div><span class="kw">theorem </span><a NAME="T42"><span class="comment"><font color="firebrick">:: BHSP_1:42</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="bhsp_1.html#NM1" title="BHSP_1:NM.1">RealUnitarySpace</a><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font>, <font color="Olive" title="b4">z</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">X</font> holds   <a href="bhsp_1.html#K4" title="BHSP_1:func.4">dist</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">x</font> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <font color="Olive" title="b4">z</font></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b3">y</font> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <font color="Olive" title="b4">z</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="bhsp_1.html#K4" title="BHSP_1:func.4">dist</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font>)</div></div>
