<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="bhsp_1.html#R1" title="BHSP_1:pred.1">are_orthogonal</a> <a onclick="hs(this)" href="javascript:()">BHSP_1:def 3 : <br/></a><span> 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> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font> <a href="bhsp_1.html#R1" title="BHSP_1:pred.1">are_orthogonal</a>  iff <font color="Olive" title="b2">x</font> <a href="bhsp_1.html#K2" title="BHSP_1:func.2">.|.</a> <font color="Olive" title="b3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  );<br/></span></div>
