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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E19">Def5</font></span>   defines <a href="waybel29.html#K5" title="WAYBEL29:func.5">commute</a> <a onclick="hs(this)" href="javascript:()">WAYBEL29:def 5 : <br/></a><span> for <font color="Olive" title="b1">M</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</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">b<sub>4</sub></font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <span class="p1">(<span class="default"><a href="waybel26.html#K1" title="WAYBEL26:func.1">oContMaps</a> (<font color="Olive" title="b2">X</font>,<span class="p2">(<span class="default"><font color="Olive" title="b1">M</font> <a href="waybel26.html#NK2" title="WAYBEL26:NK.2">-TOP_prod</a> <span class="p3">(<span class="default"><font color="Olive" title="b1">M</font> <a href="waybel_5.html#NK11" title="WAYBEL_5:NK.11">=&gt;</a> <font color="Olive" title="b3">Y</font></span>)</span></span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="waybel26.html#K1" title="WAYBEL26:func.1">oContMaps</a> (<font color="Olive" title="b2">X</font>,<font color="Olive" title="b3">Y</font>)</span>)</span> <a href="yellow_1.html#K5" title="YELLOW_1:func.5">|^</a> <font color="Olive" title="b1">M</font></span>)</span> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="waybel29.html#K5" title="WAYBEL29:func.5">commute</a> (<font color="Olive" title="b2">X</font>,<font color="Olive" title="b1">M</font>,<font color="Olive" title="b3">Y</font>) iff  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="b2">X</font>,<span class="p1">(<span class="default"><font color="Olive" title="b1">M</font> <a href="waybel26.html#NK2" title="WAYBEL26:NK.2">-TOP_prod</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">M</font> <a href="waybel_5.html#NK11" title="WAYBEL_5:NK.11">=&gt;</a> <font color="Olive" title="b3">Y</font></span>)</span></span>)</span> holds  <font color="Olive">b<sub>4</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="funct_6.html#K9" title="FUNCT_6:func.9">commute</a> <font color="Olive" title="b5">f</font> );<br/></span></div>
