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<b>let </b><font color="Maroon">X</font> be  non <a href="struct_0.html#V3">empty</a> <a href="borsuk_2.html#V1">arcwise_connected</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/><b>let </b><font color="Maroon">Y</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="pre_topc.html#M1">SubSpace</a> of <font color="Maroon">X</font>;<br/><b>let </b><font color="Maroon">x1</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">X</font>, <font color="Maroon">x2</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">X</font>;<br/><b>let </b><font color="Maroon">y1</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">Y</font>, <font color="Maroon">y2</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">Y</font>;<br/>







<a NAME="E1:52"/>
<font color="Maroon">x1</font>,<font color="Maroon">x2</font> <a href="borsuk_6.html#R1">are_connected</a> 
 
<b>by </b><i><a class="ref" href="borsuk_2.html#D3">BORSUK_2:def 3</a></i>;<br/>
<b>hence </b><a NAME="E2:52"/>
for <font color="Olive">f</font> being   <a href="borsuk_2.html#M1">Path</a> of <font color="Maroon">x1</font>,<font color="Maroon">x2</font>  st <font color="Maroon">x1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">y1</font> &amp; <font color="Maroon">x2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">y2</font> &amp;  <a href="relset_1.html#K5">rng</a> <font color="Olive">f</font> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">Y</font> holds <br/>( <font color="Maroon">y1</font>,<font color="Maroon">y2</font> <a href="borsuk_6.html#R1">are_connected</a>  &amp; <font color="Olive">f</font> is    <a href="borsuk_2.html#M1">Path</a> of <font color="Maroon">y1</font>,<font color="Maroon">y2</font> )
 <b>by </b><i/>;<br/>


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