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<b>thus </b><a NAME="E1:37_1_1"/>
<font color="Maroon">P</font>,<font color="Maroon">Q</font> <a href="borsuk_2.html#R4">are_homotopic</a> 
 <b>by </b><i/>; <i><font color="Red">:: according to </font></i><a class="ref" href="borsuk_6.html#D13">BORSUK_6:def 13</a><br/>

<b>thus </b><a NAME="E2:37_1_1"/>
 <a href="topalg_2.html#K4" target="_self">R1Homotopy</a> <font color="Maroon">P</font>,<font color="Maroon">Q</font> is <a href="pre_topc.html#V5">continuous</a>
 <b>by </b><i/>;<br/>

<b>thus </b><a NAME="E3:37_1_1"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="subset_1.html#M1">Element</a> of the <a href="struct_0.html#U1">carrier</a> of <a href="topmetr.html#K5">I[01]</a>  holds <br/> ( <span class="p1">(<span class="default"><a href="topalg_2.html#K4" target="_self">R1Homotopy</a> <font color="Maroon">P</font>,<font color="Maroon">Q</font></span>)</span> <a href="binop_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font>,0 <a href="hidden.html#R1">=</a> <font color="Maroon">P</font> <a href="funct_2.html#K3">.</a> <font color="Olive">b<sub>1</sub></font> &amp; <span class="p1">(<span class="default"><a href="topalg_2.html#K4" target="_self">R1Homotopy</a> <font color="Maroon">P</font>,<font color="Maroon">Q</font></span>)</span> <a href="binop_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font>,1 <a href="hidden.html#R1">=</a> <font color="Maroon">Q</font> <a href="funct_2.html#K3">.</a> <font color="Olive">b<sub>1</sub></font> &amp; ( for <font color="Olive">b<sub>2</sub></font> being   <a href="subset_1.html#M1">Element</a> of the <a href="struct_0.html#U1">carrier</a> of <a href="topmetr.html#K5">I[01]</a>  holds <br/> ( <span class="p1">(<span class="default"><a href="topalg_2.html#K4" target="_self">R1Homotopy</a> <font color="Maroon">P</font>,<font color="Maroon">Q</font></span>)</span> <a href="binop_1.html#K1">.</a> 0,<font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> &amp; <span class="p1">(<span class="default"><a href="topalg_2.html#K4" target="_self">R1Homotopy</a> <font color="Maroon">P</font>,<font color="Maroon">Q</font></span>)</span> <a href="binop_1.html#K1">.</a> 1,<font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> ) ) )
 <b>by </b><i/>;<br/>


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