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<span class="kw">let </span><font color="Maroon" title="c1">X</font> be   <a href="csspace.html#NM1" title="CSSPACE:NM.1">ComplexUnitarySpace</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">seq1</font>, <font color="Olive" title="b2">seq2</font> being  <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Maroon" title="c1">X</font>  st <font color="Olive" title="b1">seq1</font> is  <a href="clvect_2.html#V3" title="CLVECT_2:attr.3">bounded</a>  &amp; <font color="Olive" title="b2">seq2</font> is  <a href="clvect_2.html#V3" title="CLVECT_2:attr.3">bounded</a>  holds <br/><font color="Olive" title="b1">seq1</font> <a href="normsp_1.html#K4" title="NORMSP_1:func.4">-</a> <font color="Olive" title="b2">seq2</font> is  <a href="clvect_2.html#V3" title="CLVECT_2:attr.3">bounded</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">seq1</font>, <font color="Maroon" title="c3">seq2</font> be   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Maroon" title="c1">X</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">seq1</font> is  <a href="clvect_2.html#V3" title="CLVECT_2:attr.3">bounded</a>  &amp; <font color="Maroon" title="c3">seq2</font> is  <a href="clvect_2.html#V3" title="CLVECT_2:attr.3">bounded</a>  implies <font color="Maroon" title="c2">seq1</font> <a href="normsp_1.html#K4" title="NORMSP_1:func.4">-</a> <font color="Maroon" title="c3">seq2</font> is  <a href="clvect_2.html#V3" title="CLVECT_2:attr.3">bounded</a>  )</span><br/>





<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:86"/><span class="lab"><font color="Green" title="E45">A1</font></span>: 
<font color="Maroon" title="c2">seq1</font> is  <a href="clvect_2.html#V3" title="CLVECT_2:attr.3">bounded</a> 
 <span class="kw">and </span><br/><a NAME="E2:86"/><span class="lab"><font color="Green" title="E46">A2</font></span>: 
<font color="Maroon" title="c3">seq2</font> is  <a href="clvect_2.html#V3" title="CLVECT_2:attr.3">bounded</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">seq1</font> <a href="normsp_1.html#K4" title="NORMSP_1:func.4">-</a> <font color="Maroon" title="c3">seq2</font> is  <a href="clvect_2.html#V3" title="CLVECT_2:attr.3">bounded</a> </span><br/>

<a NAME="E3:86"/><span class="lab"><font color="Green" title="E47">A3</font></span>: 
<font color="Maroon" title="c2">seq1</font> <a href="normsp_1.html#K4" title="NORMSP_1:func.4">-</a> <font color="Maroon" title="c3">seq2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">seq1</font> <a href="csspace.html#K16" title="CSSPACE:func.16">+</a> <span class="p1">(<span class="default"><a href="bhsp_1.html#K5" title="BHSP_1:func.5">-</a> <font color="Maroon" title="c3">seq2</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="csspace.html#T71" title="CSSPACE:th.71">CSSPACE:71</a></span>;<br/>
<a NAME="E4:86"/>
 <a href="bhsp_1.html#K5" title="BHSP_1:func.5">-</a> <font color="Maroon" title="c3">seq2</font> is  <a href="clvect_2.html#V3" title="CLVECT_2:attr.3">bounded</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:86"><span class="lab"><font color="Green" title="E46">A2</font></span></a>, <a class="ref" href="clvect_2.html#T75" target="_self" title="CLVECT_2:th.75">Th75</a></span>;<br/>
<span class="kw">hence </span><a NAME="E5:86"/>
<font color="Maroon" title="c2">seq1</font> <a href="normsp_1.html#K4" title="NORMSP_1:func.4">-</a> <font color="Maroon" title="c3">seq2</font> is  <a href="clvect_2.html#V3" title="CLVECT_2:attr.3">bounded</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:86"><span class="lab"><font color="Green" title="E45">A1</font></span></a>, <a class="txt" href="#E3:86"><span class="lab"><font color="Green" title="E47">A3</font></span></a>, <a class="ref" href="clvect_2.html#T74" target="_self" title="CLVECT_2:th.74">Th74</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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