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<b>let </b><font color="Maroon">U0</font> be  <a href="unialg_1.html#V3">strict</a> <a href="unialg_2.html#V2">with_const_op</a> <a href="unialg_1.html#NM2">Universal_Algebra</a>;<br/><b>let </b><font color="Maroon">U1</font> be  <a href="unialg_1.html#V3">strict</a>  <a href="unialg_2.html#M3">SubAlgebra</a> of <font color="Maroon">U0</font>;<br/>



<b>set </b><font color="Maroon">C</font> =  <a href="unialg_2.html#K6">Constants</a> <font color="Maroon">U0</font>;<br/>
<b>set </b><font color="Maroon">G</font> =  <a href="unialg_2.html#K7">GenUnivAlg</a> <span class="p1">(<span class="default"><a href="unialg_2.html#K6">Constants</a> <font color="Maroon">U0</font></span>)</span>;<br/>
<a NAME="E1:27"/>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="unialg_2.html#K7">GenUnivAlg</a> <span class="p2">(<span class="default"><a href="unialg_2.html#K6">Constants</a> <font color="Maroon">U0</font></span>)</span></span>)</span> <a href="subset_1.html#R2">meets</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">U1</font>
 
<b>by </b><i><a class="ref" href="unialg_2.html#T20">UNIALG_2:20</a></i>;<br/>
<a NAME="E2:27"/><b>then </b><i><font color="Green">E26</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="unialg_2.html#K7">GenUnivAlg</a> <span class="p3">(<span class="default"><a href="unialg_2.html#K6">Constants</a> <font color="Maroon">U0</font></span>)</span></span>)</span> <a href="unialg_2.html#K5">/\</a> <font color="Maroon">U1</font></span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="unialg_2.html#K7">GenUnivAlg</a> <span class="p2">(<span class="default"><a href="unialg_2.html#K6">Constants</a> <font color="Maroon">U0</font></span>)</span></span>)</span> <a href="xboole_0.html#K3">/\</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">U1</font>
 
<b>by </b><i><a class="ref" href="unialg_2.html#D10">UNIALG_2:def 10</a></i>;<br/>
<a NAME="E3:27"/>
 <a href="unialg_2.html#K6">Constants</a> <font color="Maroon">U0</font> is   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">U1</font>
 
<b>by </b><i><a class="ref" href="unialg_2.html#T18">UNIALG_2:18</a></i>;<br/>
<a NAME="E4:27"/><b>then </b>
 <a href="unialg_2.html#K7">GenUnivAlg</a> <span class="p1">(<span class="default"><a href="unialg_2.html#K6">Constants</a> <font color="Maroon">U0</font></span>)</span> is  <a href="unialg_1.html#V3">strict</a>  <a href="unialg_2.html#M3">SubAlgebra</a> of <font color="Maroon">U1</font>
 
<b>by </b><i><a class="ref" href="unialg_2.html#D13">UNIALG_2:def 13</a></i>;<br/>
<a NAME="E5:27"/><b>then </b>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="unialg_2.html#K7">GenUnivAlg</a> <span class="p2">(<span class="default"><a href="unialg_2.html#K6">Constants</a> <font color="Maroon">U0</font></span>)</span></span>)</span> is   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">U1</font>
 
<b>by </b><i><a class="ref" href="unialg_2.html#D8">UNIALG_2:def 8</a></i>;<br/>
<a NAME="E6:27"/><b>then </b>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="unialg_2.html#K7">GenUnivAlg</a> <span class="p3">(<span class="default"><a href="unialg_2.html#K6">Constants</a> <font color="Maroon">U0</font></span>)</span></span>)</span> <a href="unialg_2.html#K5">/\</a> <font color="Maroon">U1</font></span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="unialg_2.html#K7">GenUnivAlg</a> <span class="p2">(<span class="default"><a href="unialg_2.html#K6">Constants</a> <font color="Maroon">U0</font></span>)</span></span>)</span>
 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T28">XBOOLE_1:28</a></i>;<br/>
<b>hence </b><a NAME="E7:27"/>
<span class="p1">(<span class="default"><a href="unialg_2.html#K7">GenUnivAlg</a> <span class="p2">(<span class="default"><a href="unialg_2.html#K6">Constants</a> <font color="Maroon">U0</font></span>)</span></span>)</span> <a href="unialg_2.html#K5">/\</a> <font color="Maroon">U1</font> <a href="hidden.html#R1">=</a>  <a href="unialg_2.html#K7">GenUnivAlg</a> <span class="p1">(<span class="default"><a href="unialg_2.html#K6">Constants</a> <font color="Maroon">U0</font></span>)</span>
 <b>by </b><i><a class="ref" href="unialg_2.html#T15">UNIALG_2:15</a></i>;<br/>


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