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<span class="kw">let </span><font color="Maroon" title="c2">U1</font> be    <a href="unialg_2.html#M3" title="UNIALG_2:mode.3">SubAlgebra</a> of <font color="Maroon" title="c1">U0</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">U1</font> is  <a href="unialg_2.html#V2" title="UNIALG_2:attr.2">with_const_op</a> </span><br/>

<span class="kw">reconsider </span><font color="Maroon" title="c3">U2</font> = <font color="Maroon" title="c2">U1</font> as   <a href="unialg_1.html#NM2" title="UNIALG_1:NM.2">Universal_Algebra</a> ;<br/>
<span class="kw">consider </span><font color="Maroon" title="c4">u</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="unialg_2.html#K6" title="UNIALG_2:func.6">Constants</a> <font color="Maroon" title="c3">U2</font>;<br/>
<a NAME="E3:13_1_1"/>
 <a href="unialg_2.html#K6" title="UNIALG_2:func.6">Constants</a> <font color="Maroon" title="c3">U2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="unialg_2.html#K6" title="UNIALG_2:func.6">Constants</a> <font color="Maroon" title="c1">U0</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="unialg_3.html#T6" target="_self" title="UNIALG_3:th.6">Th6</a></span>;<br/>
<a NAME="E4:13_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c4">u</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="unialg_2.html#K6" title="UNIALG_2:func.6">Constants</a> <font color="Maroon" title="c3">U2</font>
 
;<br/>
<a NAME="E5:13_1_1"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">u1</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c3">U2</font> st <br/>( <font color="Maroon" title="c4">u</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">u1</font> &amp;  ex <font color="Olive" title="b2">o</font> being  <a href="unialg_2.html#NM5" title="UNIALG_2:NM.5">operation</a> of <font color="Maroon" title="c3">U2</font> st <br/>(  <a href="unialg_1.html#K3" title="UNIALG_1:func.3">arity</a> <font color="Olive" title="b2">o</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <font color="Olive" title="b1">u1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b2">o</font> ) )
 
;<br/>
<span class="kw">hence </span><a NAME="E6:13_1_1"/>
<font color="Maroon" title="c2">U1</font> is  <a href="unialg_2.html#V2" title="UNIALG_2:attr.2">with_const_op</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="unialg_2.html#D12" title="UNIALG_2:def.12">UNIALG_2:def 12</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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