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<b>let </b><font color="Maroon" title="c1">S</font> be   <a href="catalg_1.html#NM1" title="CATALG_1:NM.1">Signature</a>; <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">E</font> being   <a href="algspec1.html#M2" title="ALGSPEC1:mode.2">Extension</a> of <font color="Maroon" title="c1">S</font><br/> for <font color="Olive" title="b2">A</font> being   <a href="algspec1.html#M4" title="ALGSPEC1:mode.4">Algebra</a> of <font color="Olive" title="b1">E</font> holds  <font color="Olive" title="b2">A</font> is    <a href="algspec1.html#M4" title="ALGSPEC1:mode.4">Algebra</a> of <font color="Maroon" title="c1">S</font></span><br/><b>let </b><font color="Maroon" title="c2">E</font> be    <a href="algspec1.html#M2" title="ALGSPEC1:mode.2">Extension</a> of <font color="Maroon" title="c1">S</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="algspec1.html#M4" title="ALGSPEC1:mode.4">Algebra</a> of <font color="Maroon" title="c2">E</font> holds  <font color="Olive" title="b1">A</font> is    <a href="algspec1.html#M4" title="ALGSPEC1:mode.4">Algebra</a> of <font color="Maroon" title="c1">S</font></span><br/><b>let </b><font color="Maroon" title="c3">A</font> be    <a href="algspec1.html#M4" title="ALGSPEC1:mode.4">Algebra</a> of <font color="Maroon" title="c2">E</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c3">A</font> is    <a href="algspec1.html#M4" title="ALGSPEC1:mode.4">Algebra</a> of <font color="Maroon" title="c1">S</font></span><br/>





<b>consider </b><font color="Maroon" title="c4">E'</font> being  non <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>  <a href="algspec1.html#M2" title="ALGSPEC1:mode.2">Extension</a> of <font color="Maroon" title="c2">E</font><b> such that </b><br/><a NAME="E2:65"/><i><font color="Green" title="E48">A1</font></i>: 
<font color="Maroon" title="c3">A</font> is  <a href="msualg_6.html#V1" title="MSUALG_6:attr.1">feasible</a>  <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> of <font color="Maroon" title="c4">E'</font>
 <b>by </b><i><a class="ref" href="algspec1.html#D7" target="_self" title="ALGSPEC1:def.7">Def7</a></i>;<br/>
<a NAME="E3:65"/>
<font color="Maroon" title="c4">E'</font> is    <a href="algspec1.html#M2" title="ALGSPEC1:mode.2">Extension</a> of <font color="Maroon" title="c1">S</font>
 
<b>by </b><i><a class="ref" href="algspec1.html#T48" target="_self" title="ALGSPEC1:th.48">Th48</a></i>;<br/>
<b>hence </b><a NAME="E4:65"/>
<font color="Maroon" title="c3">A</font> is    <a href="algspec1.html#M4" title="ALGSPEC1:mode.4">Algebra</a> of <font color="Maroon" title="c1">S</font>
 <b>by </b><i><a class="txt" href="#E2:65"><i><font color="Green" title="E48">A1</font></i></a>, <a class="ref" href="algspec1.html#D7" target="_self" title="ALGSPEC1:def.7">Def7</a></i>; <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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