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<b>let </b><font color="Maroon" title="c1">S</font>, <font color="Maroon" title="c2">T</font>, <font color="Maroon" title="c3">X</font>, <font color="Maroon" title="c4">Y</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>assume </b><b>that </b><br/><a NAME="E1:12"/><i><font color="Green" title="E8">A1</font></i>: 
 <a href="pre_topc.html#G1" title="PRE_TOPC:aggr.1">TopStruct</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S</font>,the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Maroon" title="c1">S</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pre_topc.html#G1" title="PRE_TOPC:aggr.1">TopStruct</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">T</font>,the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Maroon" title="c2">T</font> #)
 <b>and </b><br/><a NAME="E2:12"/><i><font color="Green" title="E9">A2</font></i>: 
 <a href="pre_topc.html#G1" title="PRE_TOPC:aggr.1">TopStruct</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c3">X</font>,the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Maroon" title="c3">X</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pre_topc.html#G1" title="PRE_TOPC:aggr.1">TopStruct</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c4">Y</font>,the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Maroon" title="c4">Y</font> #)
 ;<br/>

<b>given </b><font color="Maroon" title="c5">c</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="Maroon" title="c1">S</font>,<font color="Maroon" title="c3">X</font>, <font color="Maroon" title="c6">r</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="Maroon" title="c3">X</font>,<font color="Maroon" title="c1">S</font><b> such that </b><a NAME="E4:12"/><i><font color="Green" title="E10">A3</font></i>: 
<font color="Maroon" title="c6">r</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Maroon" title="c5">c</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="struct_0.html#K3" title="STRUCT_0:func.3">id</a> <font color="Maroon" title="c1">S</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel25.html#D1" target="_self" title="WAYBEL25:def.1">WAYBEL25:def 1</a><br/>

<b>reconsider </b><font color="Maroon" title="c7">cc</font> = <font color="Maroon" title="c5">c</font> as  <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="Maroon" title="c2">T</font>,<font color="Maroon" title="c4">Y</font> <b>by </b><i><a class="txt" href="waybel25.html#E1:12"><i><font color="Green" title="E8">A1</font></i></a>, <a class="txt" href="waybel25.html#E2:12"><i><font color="Green" title="E9">A2</font></i></a>, <a class="ref" href="yellow12.html#T36" title="YELLOW12:th.36">YELLOW12:36</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c8">rr</font> = <font color="Maroon" title="c6">r</font> as  <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="Maroon" title="c4">Y</font>,<font color="Maroon" title="c2">T</font> <b>by </b><i><a class="txt" href="waybel25.html#E1:12"><i><font color="Green" title="E8">A1</font></i></a>, <a class="txt" href="waybel25.html#E2:12"><i><font color="Green" title="E9">A2</font></i></a>, <a class="ref" href="yellow12.html#T36" title="YELLOW12:th.36">YELLOW12:36</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c7">cc</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel25.html#D1" target="_self" title="WAYBEL25:def.1">WAYBEL25:def 1</a><br/>

<b>take </b>
<font color="Maroon" title="c8">rr</font>
;<br/>

<b>thus </b><a NAME="E7:12"/>
<font color="Maroon" title="c8">rr</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Maroon" title="c7">cc</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="struct_0.html#K3" title="STRUCT_0:func.3">id</a> <font color="Maroon" title="c2">T</font>
 <b>by </b><i><a class="txt" href="waybel25.html#E1:12"><i><font color="Green" title="E8">A1</font></i></a>, <a class="txt" href="waybel25.html#E4:12"><i><font color="Green" title="E10">A3</font></i></a></i>;<br/>


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