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<b>let </b><font color="Maroon">T</font> be  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">T</font>, <font color="Maroon">b</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">T</font>;<br/><b>let </b><font color="Maroon">P</font> be    <a href="borsuk_2.html#M1">Path</a> of <font color="Maroon">a</font>,<font color="Maroon">b</font>, <font color="Maroon">Q</font> be    <a href="borsuk_2.html#M1">Path</a> of <font color="Maroon">a</font>,<font color="Maroon">b</font>;<br/><b>let </b><font color="Maroon">H</font> be    <a href="borsuk_6.html#M1">Homotopy</a> of <font color="Maroon">P</font>,<font color="Maroon">Q</font>;<br/><b>let </b><font color="Maroon">t</font> be   <a href="pre_topc.html#NM2">Point</a> of <a href="topmetr.html#K5">I[01]</a> ;<br/>









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for <font color="Olive">H</font> being <a href="pre_topc.html#V5">continuous</a> <a href="struct_0.html#NM6">Function</a> of <span class="p1"><a href="borsuk_1.html#K5">[:</a><span class="default"><a href="topmetr.html#K5">I[01]</a> ,<a href="topmetr.html#K5">I[01]</a> </span><a href="borsuk_1.html#K5">:]</a></span>,<font color="Maroon">T</font> holds   <a href="topalg_5.html#K3" target="_self">Prj1</a> <font color="Maroon">t</font>,<font color="Olive">H</font> is <a href="pre_topc.html#V5">continuous</a>
 
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<b>hence </b><a NAME="E2:31"/>
( <font color="Maroon">H</font> is <a href="pre_topc.html#V5">continuous</a> implies  <a href="topalg_5.html#K3" target="_self">Prj1</a> <font color="Maroon">t</font>,<font color="Maroon">H</font> is <a href="pre_topc.html#V5">continuous</a> )
 ;<br/>


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