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<b>let </b><font color="Maroon" title="c5">y</font>, <font color="Maroon" title="c6">z</font> be   <a href="midsp_2.html#NM2" title="MIDSP_2:NM.2">Vector</a> of <font color="Maroon" title="c3">W</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( ( for <font color="Olive" title="b1">a</font> being  <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c2">RAS</font> holds  <font color="Maroon" title="c5">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="midsp_3.html#K8" title="MIDSP_3:func.8">Phi</a> <font color="Olive" title="b1">a</font>,<font color="Maroon" title="c4">x</font> ) &amp; ( for <font color="Olive" title="b1">a</font> being  <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c2">RAS</font> holds  <font color="Maroon" title="c6">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="midsp_3.html#K8" title="MIDSP_3:func.8">Phi</a> <font color="Olive" title="b1">a</font>,<font color="Maroon" title="c4">x</font> ) implies <font color="Maroon" title="c5">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">z</font> )</span><br/>

<b>assume </b><b>that </b><br/><a NAME="E1:44_1_2"/><i><font color="Green" title="E27">A1</font></i>: 
for <font color="Olive" title="b1">a</font> being  <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c2">RAS</font> holds  <font color="Maroon" title="c5">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="midsp_3.html#K8" title="MIDSP_3:func.8">Phi</a> <font color="Olive" title="b1">a</font>,<font color="Maroon" title="c4">x</font>
 <b>and </b><br/><a NAME="E2:44_1_2"/><i><font color="Green" title="E28">A2</font></i>: 
for <font color="Olive" title="b1">a</font> being  <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c2">RAS</font> holds  <font color="Maroon" title="c6">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="midsp_3.html#K8" title="MIDSP_3:func.8">Phi</a> <font color="Olive" title="b1">a</font>,<font color="Maroon" title="c4">x</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c5">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">z</font></span><br/>

<b>consider </b><font color="Maroon" title="c7">a</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Maroon" title="c2">RAS</font>;<br/>
<a NAME="E4:44_1_2"/>
( <font color="Maroon" title="c5">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="midsp_3.html#K8" title="MIDSP_3:func.8">Phi</a> <font color="Maroon" title="c7">a</font>,<font color="Maroon" title="c4">x</font> &amp; <font color="Maroon" title="c6">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="midsp_3.html#K8" title="MIDSP_3:func.8">Phi</a> <font color="Maroon" title="c7">a</font>,<font color="Maroon" title="c4">x</font> )
 
<b>by </b><i><a class="txt" href="#E1:44_1_2"><i><font color="Green" title="E27">A1</font></i></a>, <a class="txt" href="#E2:44_1_2"><i><font color="Green" title="E28">A2</font></i></a></i>;<br/>
<b>hence </b><a NAME="E5:44_1_2"/>
<font color="Maroon" title="c5">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">z</font>
 ; <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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