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<span class="kw">thus </span><a NAME="E1:13_1_1"/>
 <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="normsp_0.html#V4" title="NORMSP_0:attr.4">reflexive</a> 
  <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="normsp_0.html#V3" title="NORMSP_0:attr.3">discerning</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="clvect_1.html#V8" title="CLVECT_1:attr.8">ComplexNormSpace-like</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="clvect_1.html#V2" title="CLVECT_1:attr.2">vector-distributive</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="clvect_1.html#V3" title="CLVECT_1:attr.3">scalar-distributive</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="clvect_1.html#V4" title="CLVECT_1:attr.4">scalar-associative</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="clvect_1.html#V5" title="CLVECT_1:attr.5">scalar-unital</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>  )</span><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="13_1_1_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">thus </span><a NAME="E1:13_1_1_1"/>
<span class="p1"><a href="normsp_0.html#K1" title="NORMSP_0:func.1">||.</a><span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a></span>)</span></span><a href="normsp_0.html#K1" title="NORMSP_0:func.1">.||</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="csspace3.html#T7" target="_self" title="CSSPACE3:th.7">Th9</a></span>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="normsp_0.html#D6" title="NORMSP_0:def.6">NORMSP_0:def 6</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>

<span class="kw">thus </span><a NAME="E2:13_1_1"/>
(  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="normsp_0.html#V3" title="NORMSP_0:attr.3">discerning</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="clvect_1.html#V8" title="CLVECT_1:attr.8">ComplexNormSpace-like</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="clvect_1.html#V2" title="CLVECT_1:attr.2">vector-distributive</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="clvect_1.html#V3" title="CLVECT_1:attr.3">scalar-distributive</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="clvect_1.html#V4" title="CLVECT_1:attr.4">scalar-associative</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="clvect_1.html#V5" title="CLVECT_1:attr.5">scalar-unital</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>  &amp;  <a href="csspace3.html#K3" title="CSSPACE3:func.3">Complex_l1_Space</a>  is  <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="csspace3.html#E8"><span class="lab"><font color="Green" title="E7">Lm3</font></span></a>, <a class="ref" href="csspace3.html#T7" target="_self" title="CSSPACE3:th.7">Th9</a>, <a class="ref" href="clvect_1.html#D13" title="CLVECT_1:def.13">CLVECT_1:def 13</a>, <a class="ref" href="csspace.html#T79" title="CSSPACE:th.79">CSSPACE:79</a>, <a class="ref" href="normsp_0.html#D5" title="NORMSP_0:def.5">NORMSP_0:def 5</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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