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<a NAME="E1:18_1_1"/>
the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">A</font> is <a href="finset_1.html#V2">locally-finite</a>
 
<b>by </b><i><a class="ref" href="msafree2.html#D11">MSAFREE2:def 11</a></i>;<br/>
<a NAME="E2:18_1_1"/><b>then </b>
 <a href="msafree2.html#K6">FreeEnv</a> <font color="Maroon">A</font> is <a href="msafree2.html#V3">finitely-generated</a>
 
<b>by </b><i><a class="ref" href="msafree2.html#T11">MSAFREE2:11</a></i>;<br/>
<a NAME="E3:18_1_1"/><b>then </b>
 <a href="msafree2.html#K6">FreeEnv</a> <font color="Maroon">A</font> is <a href="msafree2.html#V4">locally-finite</a>
 
<b>by </b><i><a class="ref" href="msafree2.html#D13">MSAFREE2:def 13</a></i>;<br/>
<a NAME="E4:18_1_1"/><b>then </b>
the <a href="msualg_1.html#U4">Sorts</a> of <span class="p1">(<span class="default"><a href="msafree2.html#K6">FreeEnv</a> <font color="Maroon">A</font></span>)</span> is <a href="finset_1.html#V2">locally-finite</a>
 
<b>by </b><i><a class="ref" href="msafree2.html#D11">MSAFREE2:def 11</a></i>;<br/>
<b>hence </b><a NAME="E5:18_1_1"/>
the <a href="msualg_1.html#U4">Sorts</a> of <span class="p1">(<span class="default"><a href="msafree2.html#K6">FreeEnv</a> <font color="Maroon">A</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">v</font> is <a href="finset_1.html#V1">finite</a>
 <b>by </b><i><a class="ref" href="pre_circ.html#D3">PRE_CIRC:def 3</a></i>;<br/>


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