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<span class="kw">let </span><font color="Maroon" title="c1">T</font> be   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="pre_topc.html#V1" title="PRE_TOPC:attr.1">strict</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">T</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="fintopo7.html#K7" title="FINTOPO7:func.7">FMT2TopSpace</a> <span class="p1">(<span class="default"><a href="fintopo7.html#K6" title="FINTOPO7:func.6">TopSpace2FMT</a> <font color="Maroon" title="c1">T</font></span>)</span></span><br/>

<a NAME="E1:48"/>
(  <a href="fintopo7.html#K6" title="FINTOPO7:func.6">TopSpace2FMT</a> <font color="Maroon" title="c1">T</font> is   <a href="fintopo7.html#NM3" title="FINTOPO7:NM.3">FMT_TopSpace</a> &amp;  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="fintopo7.html#K6" title="FINTOPO7:func.6">TopSpace2FMT</a> <font color="Maroon" title="c1">T</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">T</font> &amp;  <a href="fintopo7.html#K4" title="FINTOPO7:func.4">Family_open_set</a> <span class="p1">(<span class="default"><a href="fintopo7.html#K6" title="FINTOPO7:func.6">TopSpace2FMT</a> <font color="Maroon" title="c1">T</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="pre_topc.html#U1" title="PRE_TOPC:sel.1">topology</a> of <font color="Maroon" title="c1">T</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="fintopo7.html#D15" target="_self" onmouseover="rs('fintopo7/D15')" onmouseout="rh()">Def9</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:48"/>
<font color="Maroon" title="c1">T</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="fintopo7.html#K7" title="FINTOPO7:func.7">FMT2TopSpace</a> <span class="p1">(<span class="default"><a href="fintopo7.html#K6" title="FINTOPO7:func.6">TopSpace2FMT</a> <font color="Maroon" title="c1">T</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="fintopo7.html#D16" target="_self" onmouseover="rs('fintopo7/D16')" onmouseout="rh()">Def10</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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