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<b>let </b><font color="Maroon" title="c1">T</font> be  <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a> <a href="waybel_3.html#V3" title="WAYBEL_3:attr.3">continuous</a> <a href="waybel_9.html#NM1" title="WAYBEL_9:NM.1">TopLattice</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">T</font> is <a href="waybel11.html#V4" title="WAYBEL11:attr.4">Scott</a> implies ( <font color="Maroon" title="c1">T</font> is <a href="waybel18.html#V2" title="WAYBEL18:attr.2">injective</a> &amp; <font color="Maroon" title="c1">T</font> is <a href="t_0topsp.html#V2" title="T_0TOPSP:attr.2">T_0</a> ) )</span><br/>

<b>assume </b><a NAME="E1:11_1_1"/>
<font color="Maroon" title="c1">T</font> is <a href="waybel11.html#V4" title="WAYBEL11:attr.4">Scott</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">T</font> is <a href="waybel18.html#V2" title="WAYBEL18:attr.2">injective</a> &amp; <font color="Maroon" title="c1">T</font> is <a href="t_0topsp.html#V2" title="T_0TOPSP:attr.2">T_0</a> )</span><br/>

<a NAME="E2:11_1_1"/><b>then </b>
<font color="Maroon" title="c1">T</font> is  <a href="waybel11.html#V4" title="WAYBEL11:attr.4">Scott</a>  <a href="yellow_9.html#M1" title="YELLOW_9:mode.1">TopAugmentation</a> of <font color="Maroon" title="c1">T</font>
 
<b>by </b><i><a class="ref" href="yellow_9.html#T44" title="YELLOW_9:th.44">YELLOW_9:44</a></i>;<br/>
<b>hence </b><a NAME="E3:11_1_1"/>
( <font color="Maroon" title="c1">T</font> is <a href="waybel18.html#V2" title="WAYBEL18:attr.2">injective</a> &amp; <font color="Maroon" title="c1">T</font> is <a href="t_0topsp.html#V2" title="T_0TOPSP:attr.2">T_0</a> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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