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<b>let </b><font color="Maroon" title="c6">T</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a>;<br/><b>let </b><font color="Maroon" title="c7">a</font>, <font color="Maroon" title="c8">b</font> be   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c6">T</font>;<br/><b>let </b><font color="Maroon" title="c9">P</font>, <font color="Maroon" title="c10">Q</font> be    <a href="borsuk_2.html#M1" title="BORSUK_2:mode.1">Path</a> of <font color="Maroon" title="c7">a</font>,<font color="Maroon" title="c8">b</font>;<br/><b>let </b><font color="Maroon" title="c11">H</font> be    <a href="borsuk_6.html#M1" title="BORSUK_6:mode.1">Homotopy</a> of <font color="Maroon" title="c9">P</font>,<font color="Maroon" title="c10">Q</font>;<br/><b>let </b><font color="Maroon" title="c12">s</font> be   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <a href="topmetr.html#K5" title="TOPMETR:func.5">I[01]</a> ;<br/>









<a NAME="E1:31"/>
for <font color="Olive" title="b1">H</font> being <a href="pre_topc.html#V5" title="PRE_TOPC:attr.5">continuous</a> <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <span class="p1"><a href="borsuk_1.html#K4" title="BORSUK_1:func.4">[:</a><span class="default"><a href="topmetr.html#K5" title="TOPMETR:func.5">I[01]</a> ,<a href="topmetr.html#K5" title="TOPMETR:func.5">I[01]</a> </span><a href="borsuk_1.html#K4" title="BORSUK_1:func.4">:]</a></span>,<font color="Maroon" title="c6">T</font> holds   <a href="topalg_5.html#K4" title="TOPALG_5:func.4">Prj2</a> <font color="Maroon" title="c12">s</font>,<font color="Olive" title="b1">H</font> is <a href="pre_topc.html#V5" title="PRE_TOPC:attr.5">continuous</a>
 
;<br/>
<b>hence </b><a NAME="E2:31"/>
( <font color="Maroon" title="c11">H</font> is <a href="pre_topc.html#V5" title="PRE_TOPC:attr.5">continuous</a> implies  <a href="topalg_5.html#K4" title="TOPALG_5:func.4">Prj2</a> <font color="Maroon" title="c12">s</font>,<font color="Maroon" title="c11">H</font> is <a href="pre_topc.html#V5" title="PRE_TOPC:attr.5">continuous</a> )
 ;<br/>


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