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<span class="kw">thus </span><a NAME="E1:25_1_1"/>
 <a href="topalg_5.html#K1" title="TOPALG_5:func.1">ExtendInt</a> <font color="Maroon" title="c6">r</font> is  <a href="pre_topc.html#V5" title="PRE_TOPC:attr.5">continuous</a> 
 ; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="borsuk_2.html#D4" title="BORSUK_2:def.4">BORSUK_2:def 4</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="topalg_5.html#K1" title="TOPALG_5:func.1">ExtendInt</a> <font color="Maroon" title="c6">r</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="toprealb.html#K4" title="TOPREALB:func.4">R^1</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="topalg_5.html#K1" title="TOPALG_5:func.1">ExtendInt</a> <font color="Maroon" title="c6">r</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="toprealb.html#K4" title="TOPREALB:func.4">R^1</a> <font color="Maroon" title="c6">r</font> )</span><br/>

<span class="kw">thus </span><span class="p1">(<span class="default"><a href="topalg_5.html#K1" title="TOPALG_5:func.1">ExtendInt</a> <font color="Maroon" title="c6">r</font></span>)</span> <a href="seq_1.html#K1" title="SEQ_1:func.1">.</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  = 
<font color="Maroon" title="c6">r</font> <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
<span class="kw">by</span> <span class="lab"><a class="ref" href="topalg_5.html#D1" target="_self" title="TOPALG_5:def.1">Def1</a>, <a class="ref" href="borsuk_1.html#D17" title="BORSUK_1:def.17">BORSUK_1:def 17</a></span>
<br/>.= 
 <a href="toprealb.html#K4" title="TOPREALB:func.4">R^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="toprealb.html#D2" title="TOPREALB:def.2">TOPREALB:def 2</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="topalg_5.html#K1" title="TOPALG_5:func.1">ExtendInt</a> <font color="Maroon" title="c6">r</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="toprealb.html#K4" title="TOPREALB:func.4">R^1</a> <font color="Maroon" title="c6">r</font></span><br/>

<span class="kw">thus </span><span class="p1">(<span class="default"><a href="topalg_5.html#K1" title="TOPALG_5:func.1">ExtendInt</a> <font color="Maroon" title="c6">r</font></span>)</span> <a href="seq_1.html#K1" title="SEQ_1:func.1">.</a> 1 = 
<font color="Maroon" title="c6">r</font> <a href="real_1.html#K4" title="REAL_1:func.4">*</a> 1
<span class="kw">by</span> <span class="lab"><a class="ref" href="topalg_5.html#D1" target="_self" title="TOPALG_5:def.1">Def1</a>, <a class="ref" href="borsuk_1.html#D18" title="BORSUK_1:def.18">BORSUK_1:def 18</a></span>
<br/>.= 
 <a href="toprealb.html#K4" title="TOPREALB:func.4">R^1</a> <font color="Maroon" title="c6">r</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="toprealb.html#D2" title="TOPREALB:def.2">TOPREALB:def 2</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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