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<b>let </b><font color="Maroon" title="c1">CNS</font> be   <a href="clvect_1.html#NM5" title="CLVECT_1:NM.5">ComplexNormSpace</a>;<br/><b>let </b><font color="Maroon" title="c2">RNS</font> be   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a>;<br/><b>let </b><font color="Maroon" title="c3">h</font> be   <a href="struct_0.html#NM10" title="STRUCT_0:NM.10">PartFunc</a> of <font color="Maroon" title="c2">RNS</font>,<font color="Maroon" title="c1">CNS</font>;<br/><b>let </b><font color="Maroon" title="c4">Rseq</font> be   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Maroon" title="c2">RNS</font>;<br/><b>let </b><font color="Maroon" title="c5">Ns</font> be  <a href="seqm_3.html#V1" title="SEQM_3:attr.1">increasing</a> <a href="seqm_3.html#NM1" title="SEQM_3:NM.1">Seq_of_Nat</a>;<br/>









<b>assume </b><a NAME="E1:36"/><i><font color="Green" title="E35">A1</font></i>: 
 <a href="relset_1.html#K5" title="RELSET_1:func.5">rng</a> <font color="Maroon" title="c4">Rseq</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relset_1.html#K4" title="RELSET_1:func.4">dom</a> <font color="Maroon" title="c3">h</font>
 ;<br/>

<a NAME="E2:36"/>
<font color="Maroon" title="c4">Rseq</font> <a href="lopban_3.html#K4" title="LOPBAN_3:func.4">*</a> <font color="Maroon" title="c5">Ns</font> is    <a href="bhsp_3.html#M1" title="BHSP_3:mode.1">subsequence</a> of <font color="Maroon" title="c4">Rseq</font>
 
<b>by </b><i><a class="ref" href="bhsp_3.html#D4" title="BHSP_3:def.4">BHSP_3:def 4</a></i>;<br/>
<a NAME="E3:36"/><b>then </b><i><font color="Green" title="E36">A2</font></i>: 
 <a href="relset_1.html#K5" title="RELSET_1:func.5">rng</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">Rseq</font> <a href="lopban_3.html#K4" title="LOPBAN_3:func.4">*</a> <font color="Maroon" title="c5">Ns</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relset_1.html#K5" title="RELSET_1:func.5">rng</a> <font color="Maroon" title="c4">Rseq</font>
 
<b>by </b><i><a class="ref" href="nfcont_1.html#T7" title="NFCONT_1:th.7">NFCONT_1:7</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><font color="Maroon" title="c3">h</font> <a href="ncfcont1.html#K6" title="NCFCONT1:func.6">*</a> <font color="Maroon" title="c4">Rseq</font></span>)</span> <a href="lopban_3.html#K4" title="LOPBAN_3:func.4">*</a> <font color="Maroon" title="c5">Ns</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">h</font> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <font color="Maroon" title="c4">Rseq</font></span>)</span> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <font color="Maroon" title="c5">Ns</font>
<b>by </b><i><a class="txt" href="ncfcont1.html#E1:36"><i><font color="Green" title="E35">A1</font></i></a>, <a class="ref" href="ncfcont1.html#D11" target="_self" title="NCFCONT1:def.11">Def11</a></i>
<br/>.= 
<font color="Maroon" title="c3">h</font> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">Rseq</font> <a href="lopban_3.html#K4" title="LOPBAN_3:func.4">*</a> <font color="Maroon" title="c5">Ns</font></span>)</span>
<b>by </b><i><a class="ref" href="relat_1.html#T55" title="RELAT_1:th.55">RELAT_1:55</a></i>
<br/>.= 
<font color="Maroon" title="c3">h</font> <a href="ncfcont1.html#K6" title="NCFCONT1:func.6">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">Rseq</font> <a href="lopban_3.html#K4" title="LOPBAN_3:func.4">*</a> <font color="Maroon" title="c5">Ns</font></span>)</span>
<b>by </b><i><a class="txt" href="ncfcont1.html#E1:36"><i><font color="Green" title="E35">A1</font></i></a>, <a class="txt" href="ncfcont1.html#E3:36"><i><font color="Green" title="E36">A2</font></i></a>, <a class="ref" href="ncfcont1.html#D11" target="_self" title="NCFCONT1:def.11">Def11</a>, <a class="ref" href="xboole_1.html#T1" title="XBOOLE_1:th.1">XBOOLE_1:1</a></i>
;<br/>


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