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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">Th8</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: BORSUK_2:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S1</font>, <font color="Olive" title="b2">S2</font>, <font color="Olive" title="b3">T1</font>, <font color="Olive" title="b4">T2</font> being   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/>  for <font color="Olive" title="b5">f</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 <font color="Olive" title="b1">S1</font>,<font color="Olive" title="b3">T1</font><br/>  for <font color="Olive" title="b6">g</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 <font color="Olive" title="b2">S2</font>,<font color="Olive" title="b4">T2</font><br/>  for <font color="Olive" title="b7">P1</font>, <font color="Olive" title="b8">P2</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1"><a href="borsuk_1.html#K2" title="BORSUK_1:func.2">[:</a><span class="default"><font color="Olive" title="b3">T1</font>,<font color="Olive" title="b4">T2</font></span><a href="borsuk_1.html#K2" title="BORSUK_1:func.2">:]</a></span>  st <font color="Olive" title="b8">P2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="borsuk_1.html#K7" title="BORSUK_1:func.7">Base-Appr</a> <font color="Olive" title="b7">P1</font> holds <br/><span class="p1"><a href="borsuk_2.html#K3" title="BORSUK_2:func.3">[:</a><span class="default"><font color="Olive" title="b5">f</font>,<font color="Olive" title="b6">g</font></span><a href="borsuk_2.html#K3" title="BORSUK_2:func.3">:]</a></span> <a href="relset_1.html#K8" title="RELSET_1:func.8">"</a> <font color="Olive" title="b8">P2</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a> </div></div>
